Article
Mechanics
S. M. Abo-Dahab, Nahed S. Hussein, A. M. Abd-Alla, H. A. Alshehri
Summary: This article investigates the generalized magneto-thermoelasticity in an orthotropic non-homogeneous continuum solid with a spherical cavity. The solution for displacement, stress components, and temperature has been obtained using an integral transform technique. Comparisons have been made to verify the accuracy of the model, and the effects of inhomogeneity, relaxation time, and magnetic field on temperature, stresses, and displacement are analyzed and presented through graphs.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Biswajit Singh, Smita Pal (Sarkar)
Summary: This article utilizes the Green-Naghdi theory of thermoelasticity with memory-dependent derivative to study the effects of a magnetic field and laser pulse on a generalized thermoelastic orthotropic elastic medium. Analytically solving the problem using Laplace and Fourier integral transform, the fundamental equations are expressed as a vector-matrix differential form and solved using the eigen function expansion method. The variation of stress distributions, displacement, and temperature due to different kernel functions, time delay, magnetic field, and laser pulse are graphically illustrated. The current model demonstrates significant capability with the presence of the magnetic field, laser pulse, and memory-dependent derivative.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Thermodynamics
Devender Sheoran, Rajesh Kumar, Seema Thakran, Kapil Kumar Kalkal
Summary: This paper studies two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the Green-Naghdi model II of generalized thermoelasticity. Using normal mode analysis technique, the exact solution is obtained and discussions on the influences of rotational speed, nonlocality, temperature-dependent properties and time are made. The study provides valuable insights for analyzing problems involving mechanical shock, rotational speed, nonlocal parameter, temperature-dependent properties, and elastic deformation.
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
(2021)
Article
Physics, Multidisciplinary
Samia M. Said, Mohamed I. A. Othman
Summary: The study investigates the propagation of electro-magneto-thermoelastic disturbances produced by a thermal shock in a conducting elastic half-space. By comparing the results predicted by three theories under different conditions, it is found that the effects of time, magnetic field, internal heat source, and two-temperature parameter are significant.
WAVES IN RANDOM AND COMPLEX MEDIA
(2021)
Article
Mechanics
Mehdi Karimipour Dehkordi, Yaser Kiani
Summary: The current investigation focuses on the response of a hollow cylinder within the framework of generalized magneto-thermoelasticity. The results show the propagation and reflection of thermal, electrical, mechanical and magnetic waves. It is verified that temperature propagates with a finite speed.
Article
Physics, Multidisciplinary
Guoliang Liu, Hongzhi Zhao, Chengwen Liu
Summary: This research focuses on the generalized thermoelasticity of a one-dimensional domain with viscosity effects. The epoxy layer is reinforced by graphene platelets (GPL) with a distribution pattern founded on a functionally graded power law. The material properties are homogenized based on second-order correlation rules that consider the size and shape effects of the particles. The viscosity property of the layer is modeled using the Kelvin-Voigt assumption. The Green-Nghdi theory is utilized to achieve the coupled energy equation, and the solution is obtained using the generalized differential quadrature and Newmark methods. The effects of different factors on the temporal evaluation of temperature, longitudinal displacement, and axial stress are investigated.
WAVES IN RANDOM AND COMPLEX MEDIA
(2022)
Article
Mathematics, Interdisciplinary Applications
Eman A. N. Al-Lehaibi
Summary: This work presents a new thermoelastic model for an isotropic and homogeneous annular cylinder. The inner surface of the cylinder is subjected to thermal shock, while the outer surface remains with no change in temperature and volumetric strain. The governing equations of the model, based on the hyperbolic two-temperature generalized thermoelasticity with fractional-order strain theory, have been derived. Numerical solutions are used to illustrate the effects of fractional-order and two-temperature parameters on the thermal and mechanical waves, including the distributions of temperature, displacement, strain, and stress.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
A. M. S. Mahdy, Kh Lotfy, A. El-Bary, Ismail M. Tayel
Summary: The main goal of this work is to investigate the interaction impact between three propagated waves, focusing on the elastic wave, plasma wave and thermal waves within the context of the hyperbolic generalized two-temperature theory. The study examines the governing equations during the photothermal theory, exploring the impact of external magnetic field and laser pulse on a semiconductor medium's outer surface. Different models of photo-thermoelasticity theory are obtained through the coupling of photothermal theory and thermoelasticity theory, and integral transforms techniques are used in solving the equations.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Materials Science, Multidisciplinary
Hamdy M. Youssef, A. A. El-Bary
Summary: This paper introduces a new mathematical model of a thermoelastic semiconducting solid sphere based on the Green-Naghdi theories to study photothermal interaction. Damage and rotation have significant effects on all studied functions, especially when the bounding surface of the sphere is thermally loaded.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Physics, Multidisciplinary
Geetanjali Gilhotra, P. K. Sharma
Summary: This study investigates thermoelasticity with diffusion based on memory-dependent derivatives and nonlocal elastic effect under a unified model of four theories of thermoelasticity. The impact of memory-dependent and nonlocal parameters on various field quantities is analyzed numerically and presented graphically using MATLAB software. The coupling of elastic, thermal, and diffusion processes in a model with a spherical cavity in an infinite medium enhances the novelty of the research.
WAVES IN RANDOM AND COMPLEX MEDIA
(2021)
Article
Thermodynamics
Hany H. Sherief, Farid A. Hamza, Abd Ellatief M. Abd Ellatief
Summary: In this study, the 3D problems of generalized theory of thermoelasticity in spherical regions were investigated and the closed form solutions for temperature, displacement components, and stress tensor components were obtained using Laplace transform. This work is the first attempt to solve the full system of equations of generalized thermoelasticity in spherical regions without neglecting any governing equations.
JOURNAL OF THERMAL STRESSES
(2022)
Article
Mathematics, Applied
Hany H. Sherief, Nasser M. El-Maghraby, Mohamed F. Zaky
Summary: The problem involves studying a 2D thermoelastic cylindrical cavity in an infinite body under the influence of a nonsolenoidal body force. Generalized Thermoelasticity theory is applied, with the assumption of a traction-free surface and an asymmetrical thermal shock. The inversion process is carried out numerically, and all relevant functions are graphically represented.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Thermodynamics
Jaber Alihemmati, Yaghoub Tadi Beni, Yaser Kiani
Summary: In this article, the Chebyshev collocation numerical method is developed for solving generalized thermoelasticity problems of the isotropic layer. The derived system of differential equations is then solved by the Wilson method to achieve the displacement and temperature and also stress at any location and time. The obtained results from the present article are compared with the same results in the open literature and a very close agreement is observed.
JOURNAL OF THERMAL STRESSES
(2021)
Article
Mechanics
Shreen El-Sapa, Kh Lotfy, A. El-Bary
Summary: This work investigates the magneto-thermodiffusion waves in an excited semiconductor medium under the influence of laser short-pulse heating. The Caputo fractional derivative is used to transform the main heat equation into dimensionless form and obtain analytical solutions. The numerical solutions are obtained using boundary conditions and the Laplace transform with the inversion method, and simulations and comparisons are presented graphically.
Article
Mechanics
Mohamed I. M. Hilal
Summary: This study investigates the rotation of micropolar thermoelastic solid with temperature-dependent properties on micropolar material affected by magnetic and gravity forces. The Green-Naghdi (G-N) theory of type II is used for analytical investigation. It is found that there are four reflected plane waves due to the material nature and physical effects. The complex modulus values of the reflection coefficients are graphically visualized to demonstrate the influence of rotation and gravity on the amplitude ratios of the four reflected waves. The research findings can be applied in various fields such as engineering, geophysics, geology, earthquakes, volcanoes, structures, and more.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
F. S. Bayones, A. A. Kilany, Ahmed E. Abouelregal, S. M. Abo-Dahab
Summary: In this article, a new model is investigated to study its effects on an isotropic homogeneous semiconducting generalized thermoelasticity solid. The model takes into account various factors such as volume fraction, photothermal, initial stress, electromagnetic field, gravity, and rotation. The governing equations are solved using the normal mode analysis method, and the results show that photothermal, rotation, electromagnetic field, and other factors play significant roles in the phenomenon.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Husam E. Dargail
Summary: This study introduces a new mathematical model for functionally graded thermoelastic nanobeams (FGNB) with a free choice of kernel function and time delay. By utilizing Hamilton's principle, Euler-Bernoulli's assumptions, Eringen's theory, and three-phase-lag memory dependent heat conduction, the basic equations governing the proposed model have been derived. The FGNB shows variations in moment distribution, temperature, displacement, and deflection due to a heat flux dependent on time. The model is solved analytically using Laplace integral transform, and the impacts of different kernel functions, time delays, nonlocal parameter, and periodic pulse are illustrated graphically and compared with current thermoelastic models.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Ahmed E. Abouelregal, Doaa Atta, Hamid M. Sedighi
Summary: This study presents a theoretical framework for analyzing a nonlocal thermoelastic model with a general kernel function and two time delays. The model aims to study the thermomechanical response of size-dependent nanobeams. The problem is formulated using nonlocal elasticity theory and a generalized heat conduction model with phase delays. The model considers a linear variation of thermal conductivity with temperature and applies a variable harmonic heat source as excitation with time-dependent exponential decaying load. Semi-analytical solutions for displacements, temperature, and bending moment are examined using Laplace transform method. The effects of the nonlocal parameter and various loading conditions are investigated and discussed. The study also demonstrates how the linear variation of thermal conductivity can affect the system's performance.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ahmed E. Abouelregal, Hamid M. Sedighi
Summary: This paper introduces a modified constitutive equation that incorporates the size effect of nanostructured materials and a new formulation of Fourier's law with Caputo-Fabrizio fractional heat conduction equation. The Kelvin-Voigt model is used to characterize the viscoelastic behavior of materials. The presented model is applied to analyze the magneto-thermoelastic interactions in a viscoelastic rotating rod subject to a moving heat source.
ENGINEERING WITH COMPUTERS
(2023)
Article
Materials Science, Multidisciplinary
Marin Marin, Erasmo Carrera, Ahmed E. Abouelregal
Summary: In this paper, we study the linear mixed problem with initial and boundary values for a Cosserat body that is both elastic and porous. We couple the equations governing the evolution of the pores with the equations describing the elastic deformations of the Cosserat body. The coupling is achieved through predetermined coefficients. To prove the continuity of the solutions, we introduce a suitable measure that helps in estimating the gradients of the elastic deformations and the behavior of the pores.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Correction
Physics, Multidisciplinary
A. Soleiman, Ahmed E. Abouelregal, Hijaz Ahmad, Phatiphat Thounthong
Article
Mechanics
Ahmed E. Abouelregal, Mohamed E. Nasr, Osama Moaaz, Hamid M. Sedighi
Summary: This work aims to analyze the nonuniform heat transfer through a micropolar miniature half-space by investigating the magneto-thermo-viscoelastic interactions. Higher-order two-phase-lag thermoelastic concept and viscoelastic model of Kelvin-Voigt type are considered to examine the micromechanical coupling and the influence of thermo-mechanical relaxation. The governing equations are developed and numerically solved using Laplace transforms, and the consequences of variations in nonlocality, viscoelasticity, and the Hall effect are demonstrated.
Article
Multidisciplinary Sciences
Osama Moaaz, Ahmed E. Abouelregal, Jan Awrejcewicz
Summary: Based on the analysis of thermoelastic motion, a new model of modified thermoelasticity is developed in this study. The model considers rotating long hollow cylinders with fixed surfaces in a generalized Moore-Gibson-Thompson thermoelastic model framework, incorporating the modified Ohm's law. The equations for heat conduction in the new model are built under the influence of the electromagnetic field, using a delay time in the context of Green-Naghdi of the third kind. The inner boundary of the hollow cylinder is both restricted and sensitive to heat loading, while the outer surface is restricted and insulates the heat. The Laplace transform method is used to solve the differential equations and transfer the problem to the space domain, and the Dubner and Abate method is used for computation and graphical depiction of the theoretical findings.
Article
Multidisciplinary Sciences
Ahmed E. Abouelregal, Marin Marin, Sameh S. Askar
Summary: This study investigates the effects of laser light on the heat transfer of a thin beam heated by an applied current and voltage. Laser heating pulses are simulated as endogenous heat sources with discrete temporal properties. The heat conduction equation is developed using the energy conservation equation and the modified Moore-Gibson-Thompson (MGT) heat flow vector. Thermal and structural analysis of Euler-Bernoulli microbeams is provided with the support of visco-Pasternak's base with three parameters. An approximation of an analytical solution is found for the field variables being examined using the Laplace transform method. A comparison is made of the impacts of laser pulse length, the three foundation coefficients, and the thermal parameters on the responses to changes in measured thermophysical fields, such as deflection and temperature.
Article
Multidisciplinary Sciences
Barakah Almarri, Osama Moaaz, Ahmed E. Abouelregal, Amira Essam
Summary: Based on a comparison with first-order equations, new criteria for investigating the asymptotic behavior of a class of differential equations with neutral arguments are obtained. The non-canonical case for an even-order equation is considered, with a focus on excluding positive solutions by considering the symmetry between the positive and negative solutions. The results obtained do not require certain restrictions present in previous relevant literature.
Article
Engineering, Mechanical
Ahmed E. Abouelregal, Osama Moaaz, Khalil M. Khalil, Mohamed Abouhawwash, Mohamed E. Nasr
Summary: This study presents a new micropolar thermoelasticity theory incorporating high-order phase delays and two temperatures. The model is applied to analyze the microstructure of rotating materials under the influence of Hall current. The results demonstrate that the higher-order phase delays and two-temperature factor have a significant impact on the behavior of the studied variables.
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2023)
Article
Mathematics
Ahmed E. Abouelregal, Marin Marin, Sahar M. Abusalim
Summary: By laminating piezoelectric and flexible materials, their performance can be improved. Therefore, the electrical and mechanical properties of layered piezoelectric materials under electromechanical loads and heat sources need to be analyzed theoretically and mechanically. Extended thermoelasticity models have been derived to address the problem of infinite wave propagation, as classical thermoelasticity cannot address this issue. This paper focuses on the thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a movable axial heat source, using the dual-phase-lag (DPL) heat transfer model. The physical characteristics of the FG rod vary exponentially along the axis of the body. The Laplace transform and decoupling techniques are used to analyze the physical fields obtained. The results are compared with those in previous literature, considering a range of heterogeneity, rotation, and heat source velocity measures.
Article
Mathematics, Applied
Ahmed E. Abouelregal, Bekir Akgoz, Omer Civalek
Summary: The objective of this work is to improve a generalized thermoelastic heat transport framework, which is compatible with observable physical processes and allows speed reduction of heat waves within the solid. The proposed model can be used to derive alternative thermoelasticity models as special cases. The influence of Hall current on magneto-thermoelastic couplings in an infinite conducting viscoelastic medium with a cylindrical cavity under a strong magnetic field is also considered.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Mathematics, Applied
Osama Moaaz, Ahmed E. Abouelregal, Fahad Alsharari
Summary: This paper presents a mathematical formulation for transverse resonance of thermoelastic nanobeams that are simply supported and compressed with an initial axial force. The effect of length scale is analyzed using the concept of nonlocal elasticity and the dual-phase-lag heat transfer theory. The nanobeam moves in one direction at a constant speed due to a changing thermal load. The governing motion equation is derived using Hamilton's principle and solved using Laplace transform technique. The impact of nonlocal nanoscale and axial velocity on the responses of the moving beam are investigated, revealing substantial effects of phase delays, nonlocal parameter, and external excitation load on the system behavior.
Article
Mathematics, Applied
Osama Moaaz, Ahmed E. Abouelregal
Summary: This current research focuses on studying the thermodynamic responses to thermal media by using a modified mathematical model in the field of thermoelasticity. A new model is proposed by incorporating Caputo-Fabrizio and Atangana-Baleanu fractional differential operators with fractional time derivatives under the framework of a two-phase delay model. The analytic solution of an unbounded material with a spherical hole experiencing a reduced moving heat flow on its inner surface is obtained using the Laplace transform as the solution mechanism. The influences of different fractional operators and thermal properties on the response of all the examined fields are evaluated through specific comparisons presented in tables.
Article
Mechanics
Zhiqiang Meng, Xu Gao, Hujie Yan, Mingchao Liu, Huijie Cao, Tie Mei, Chang Qing Chen
Summary: This paper presents a cage-shaped, self-folding mechanical metamaterial that exhibits multiple deformation modes and has tunable mechanical properties, providing multifunctional applications in various fields.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hasan Murat Oztemiz, Semsettin Temiz
Summary: Sandwich panel composites have various applications and their mechanical behavior and performance depend on material properties and geometry. The load-carrying capacity of S-core composite sandwich panels increases with the increase of the core wall thickness, but decreases with the increase of the core height.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yang Sun, Wei Zhang, Weipeng Hu, Mabao Liu
Summary: The study presents a novel computational framework to investigate the effect of graphene percolation network on the strength-ductility of graphene/metal composites. It utilizes the Cauchy's probabilistic model, the field fluctuation method, and the irreversible thermodynamics principle.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Elaheh Kazemi-Khasragh, Juan P. Fernandez Blazquez, David Garoz Gomez, Carlos Gonzalez, Maciej Haranczyk
Summary: This study explores group interaction modelling (GIM) and machine learning (ML) approaches for predicting thermal and mechanical properties of polymers. ML approach offers more reliable predictions compared to GIM, which is highly dependent on the accuracy of input parameters.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yafei Yin, Shaotong Dong, Dong Wu, Min Li, Yuhang Li
Summary: This paper investigates a bending-induced instability in sandwiched composite structures, and establishes a phase diagram to predict its characteristics. The results are of great significance in understanding the physical mechanisms of bending instability and providing design guidelines for practical applications.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Dhairya R. Vyas, Sharen J. Cummins, Gary W. Delaney, Murray Rudman, Devang V. Khakhar
Summary: In this study, multiple collisions of granules on a substrate are analyzed using Collisional Smooth Particle Hydrodynamics (CSPH) to understand the influence of impact-induced deformation on subsequent collision dynamics. It is found that the collision dynamics are dependent on the impact location and the deformation caused by preceding impacts. The accuracy of three theoretical models is also evaluated by comparing their predictions with CSPH results, and it is discovered that these models are only useful for predicting collisions at the same location repeatedly.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Sneha B. Cheryala, Chandra S. Yerramalli
Summary: The effect of hybridization on the growth of interface crack along the fiber is predicted. The study shows an enhancement in the compressive splitting strength with hybridization due to the lateral confinement effect on the interfacial crack.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Xiang-Nan Li, Xiao-Bao Zuo, Liang Li, Jing-Han Liu
Summary: A multiscale mechanical model is proposed to quantitatively describe the macro-mechanical behavior of fiber reinforced concrete (FRC) based on its multiscale material compositions. The model establishes the stiffness and strength equations for each scale of FRC and demonstrates the influence of steel fiber parameters on the mechanical properties of FRC.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Vicente Ramirez-Luis, Hilario Hernandez-Moreno, Orlando Susarrey-Huerta
Summary: In this paper, a Multicell Thin-walled Method is developed for studying the stress distributions in multimaterial beams. This method accurately obtains complex stress fields while reducing the solution time and computational cost. Validation with the finite element method confirms the accuracy of the proposed method.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Yanfeng Zheng, Siyuan Li, Jingyao Zhang, Yaozhi Luo
Summary: This study proposes an enhanced simplified model based on finite particle method (FPM) to consider the link cross-sectional size and contact in Bennett linkages. The model introduces virtual beams and contact forces to accurately simulate the real-world behavior of Bennett linkages. The proposed method is effective for dynamic analysis of large-scale deployable Bennett linkages and shows great potential.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Viktoriya Pasternak, Heorhiy Sulym, Iaroslav M. Pasternak
Summary: This paper investigates anisotropic elastic, magnetoelectroelastic, and quasicrystal solids and presents their equations of time-harmonic motion and constitutive relations in a compact and unified form. A matrix approach is proposed to derive the 3D time-harmonic Green's functions for these materials. The effects of phason field dynamics on the phonon oscillations in quasicrystals are studied in detail. The paper provides a strict proof that the eigenvalues of the time-harmonic magnetoelectroelaticity problem are all positive. It also demonstrates the application of the obtained time-harmonic Green's functions in solving boundary value problems for these materials using the derived boundary integral equations.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Jan Tomec, Gordan Jelenic
Summary: This paper investigates the relationship between different formulations and contact-force models in beam-to-beam contact mechanics. It specifically addresses the recently developed mortar method and develops its variant based on the penalty method. The developed elements are tested using the same examples to provide an objective comparison in terms of robustness and computational cost.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Paulo Teixeira Goncalves, Albertino Arteiro, Nuno Rocha, Fermin Otero
Summary: This work presents a novel formulation of a 3D smeared crack model for unidirectional fiber-reinforced polymer composites based on a stress invariant approach for transverse yielding and failure initiation. The performance of the model is evaluated using monotonic and non-monotonic damage evolution, verified with single element tests and compared with experimental results.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Hanbin Yin, Yinji Ma, Xue Feng
Summary: This paper investigates the peeling behavior of a viscoelastic film bonded to a rigid substrate and establishes a theoretical peeling model. The study reveals three typical relationships between the peeling force and peeling velocity, which depend on the viscous dissipation within the film and the rate-dependent adhesion at the interface. Additionally, factors such as film thickness, interfacial toughness, and interfacial strength are identified as influencing the steady-state peeling force.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)
Article
Mechanics
Peter Noe Poulsen, John Forbes Olesen
Summary: Finite Element Limit Analysis (FELA) is increasingly used to calculate the ultimate bearing capacity of structures made of ductile materials. This study presents a consistent and general weak formulation based on virtual work for both the lower and upper bound problem, ensuring uniqueness of the optimal solution. A plane element with linear stress variation and quadratic displacement field is introduced, showing good results for load level, stress distribution, and collapse mechanism even for coarse meshes in verification and reinforced concrete examples.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2024)