Article
Mechanics
Sergey A. Lurie, Alexander L. Kalamkarov, Yury O. Solyaev, Alexander V. Volkov
Summary: This paper presents a simplified version of the strain gradient elasticity theory and derives two variants with different forms of boundary conditions. The correctness of the theory formulations is discussed, and analytical solutions for various problems are obtained and compared for the two variants.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Multidisciplinary
A. C. A. Pereira, W. G. M. Maciel, A. V. Mendonca
Summary: This paper presents a static analysis of a double-plate system using the boundary element method. Various numerical examples of the system with different mechanical properties, boundary conditions, and load types are provided.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Mathematics, Applied
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: This study introduces analytical formulations and finite element solutions for a fractional-order nonlocal plate under both Mindlin and Kirchhoff formulations. By using consistent definitions for fractional-order kinematic relationships, governing equations and boundary conditions are derived based on variational principles. The fractional-order nonlocal model results in a self-adjoint and positive definite system that accepts a unique solution, with a 2D finite element model presented for solving the governing equations.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics, Applied
Xin Feng, Liangliang Zhang, Yuxuan Wang, Jinming Zhang, Han Zhang, Yang Gao
Summary: This paper presents a semi-analytical solution for the static response of a functionally graded multilayered decagonal QC rectangular plate with mixed boundary conditions by using the state-space method and differential quadrature technique. Numerical examples are provided to verify the effectiveness of this method, which is very useful for the design and characterization of FG QC materials in multilayered systems.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2021)
Article
Mechanics
Stergios Alexandros Sideris, Charalampos Tsakmakis
Summary: In this paper, the inconsistency in the Euler-Bernoulli beam bending theory is eliminated by postulating the material response as a limiting case of anisotropic elasticity, while the results within the inconsistent isotropic elasticity theory are still valid. Subsequently, the anisotropic elasticity approach is extended to model bending of Euler-Bernoulli beam in explicit gradient elasticity, with emphasis on deriving stress components distributions and discussing limiting responses dependent on a material length parameter inherent in the elasticity law.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Rui Kang, Fengxian Xin, Cheng Shen, Tian Jian Lu
Summary: This study develops an analytical method for free vibration of functionally graded plates in thermal environments based on 3D elasticity theory. The method effectively accounts for thermal environment effects and utilizes energy method and Rayleigh-Ritz procedure to derive eigenvalue equations and calculate natural frequencies of the plates. Numerical examples demonstrate the method's quick convergence and satisfactory results.
ADVANCED ENGINEERING MATERIALS
(2022)
Article
Materials Science, Multidisciplinary
Ning Hao, Youlong Wang, Yiheng Song, Sihan Ruan, Quanjin Ma, Ziying Wang
Summary: Non-uniform grid plates (NUGPs) have greater potential than uniformly distributed grid plates (GPs) in various loading conditions, exhibiting higher compressive strength and superior energy absorption. Denser core grids in NUGPs result in more half waves in core deformation under compression loading, while a specific category of NUGPs surpassing GPs undergoes shear buckling in longer grid walls under bending loading. The load-bearing mechanisms of NUGPs are elucidated through deformation modes, mechanical analysis, thin plate buckling theory, and equivalent bending stiffness calculations.
JOURNAL OF MATERIALS SCIENCE
(2023)
Article
Mechanics
Najmeh Foroozani, Dmitry Krasnov, Joerg Schumacher
Summary: The study investigates the influence of different thermal boundary conditions on turbulent Rayleigh-Benard convection flows, showing that global heat transfer can be enhanced by up to 19% with conjugate heat transfer. While differences in local thermal boundary scales exist, the impact on mean temperature profiles and velocity fluctuations is relatively weak.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Jalal Torabi, Jarkko Niiranen, Reza Ansari
Summary: A novel numerical strategy called the multi-patch variational differential quadrature method is proposed in this study to model the structural behavior of plate structures. By dividing the two-dimensional solution domain into sub-domains and applying the variational differential quadrature method along with the finite element mapping technique for each sub-domain, the bending and vibration behavior of plate structures can be accurately predicted.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mechanics
Mengsi Huang, Peijun Wei, Lina Zhao, Yueqiu Li
Summary: This study investigates the possible coupled elastic waves in a thermoelastic semiconduction micro-beam, considering the coupling effects of the carrier field, temperature field, and elastic displacement field. By incorporating nonlocal strain gradient elasticity, non-Fourier heat conduction, and fraction derivative into the model, a more flexible and enriched model with multiple physical fields coupled is obtained. The study reveals the existence of five possible coupled elastic waves, with comparisons made on the dispersion and attenuation characteristics and their coupling modes. Analysis on the influences of nonlocal parameter, strain gradient parameter, thermal relaxation time, and fraction order parameters are discussed based on numerical results.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Junchao Wu, Xinyu Wu, Yaobing Zhao, Dongdong Wang
Summary: A rotation-free Hellinger-Reissner meshfree thin plate formulation is proposed to naturally accommodate the essential boundary conditions in a variationally consistent way. In this approach, the bending moment is expressed as the second order smoothed gradients which inherently embed the integration constraint and fulfill the variational consistency condition. The enforcement of essential boundary conditions has a similar form as that of the Nitsche's method, but with replaced derivatives and without artificial parameters.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mechanics
Alain Corfdir, Guy Bonnet
Summary: This article investigates the problem of degenerate scales, focusing on the degenerate scales of the biharmonic equation and various boundary conditions in two dimensions. By using a discriminant matrix to solve the degenerate scales and applying techniques such as minimization problems, comparison of boundaries, and symmetry analysis, the upper and lower bounds as well as the exact values of the degenerate scales are derived.
Article
Thermodynamics
Victor A. Eremeyev, Antonio Cazzani, Francesco dell'Isola
Summary: Nonlinear dilatational strain gradient elasticity theory examines a specific class of continuum materials where deformation energy is related to the gradients of placement and the determinant of the gradient of placement in an objective manner. This theory is a particular case within the complete Toupin-Mindlin nonlinear strain gradient elasticity, showcasing unique second gradient effects arising from the non-uniform dilatation state of deformable bodies. Dilatational second gradient continua are closely linked to other scalar microstructure models and can be seen as a result of solidification of strain gradient fluids. Through a variational approach, equilibrium conditions for dilatational second gradient continua are derived and analyzed, highlighting their ability to support contact forces on edges and surface curves. Additionally, possibilities for externally applicable double forces and curve forces are explored, with a focus on small deformations and practical applications such as axial deformations and dilatational wave propagation in elastic tubes.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Mechanics
R. Ansari, R. Hassani, M. Faraji Oskouie, H. Rouhi
Summary: This paper presents a numerical solution strategy for studying the large deformations of rectangular plates made of hyperelastic materials, using a new numerical approach to obtain the governing equations directly. The results demonstrate the good performance of the developed approach in addressing the large deformation problem of hyperelastic plates under various types of boundary conditions.
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)