Article
Chemistry, Physical
Hassan Mohamed Abdelalim Abdalla, Daniele Casagrande, Francesco De Bona
Summary: This article analytically considers the strain and stress analyses of functionally graded plates with circular holes under a uniaxial far-field traction load. It assumes that the Young's modulus varies linearly along the radial direction around the hole. The displacement, strain, and stress fields around the hole were numerically tackled and discussed, and a comparison was made with other commonly employed Young's modulus distributions in the literature.
Article
Engineering, Multidisciplinary
Youn-Sha Chan, Edward Athaide
Summary: This study investigates the constitutive equations for functionally graded materials (FGMs) under the strain gradient elasticity theory (SGET). The interaction between material gradation and the nonlocal effect of the strain gradient leads to more complex and intricate constitutive equations. The governing partial differential equations (PDEs) derived from the balance law of linear momentum also appear to be highly complicated. Assuming the material gradation is exponential, a simpler set of governing PDEs can be obtained. Solutions to these PDEs are discussed for different modes of crack problems.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Engineering, Multidisciplinary
Dinesh P. Chawde, Tanmay K. Bhandakkar
Summary: This study proposes a semi-analytical technique for solving mixed boundary value problems in functionally graded circular annulus, utilizing two main steps to compute stress and displacement fields.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2021)
Article
Mechanics
Yucheng Zhou, Kefu Huang
Summary: This paper presents an effective analytical elastic general solution to the inhomogeneous spatial axisymmetric problem and studies the axisymmetric bending problem of functionally graded circular plates based on this general solution, obtaining analytical solutions consistent with existing numerical results. The explicit elastic field distributions related to the inhomogeneous parameter demonstrate the influence of inhomogeneity on stress and displacement in FGM circular plates.
Article
Engineering, Mechanical
Sairam Pamulaparthi Venkata, Valentina Balbi, Michel Destrade, Dino Accoto, Giuseppe Zurlo
Summary: Materials with negative Poisson's ratio, known as auxetic materials, have unique properties of expansion in all directions under uni-axial tension. These materials have a wide range of applications in various fields. This study focuses on the wrinkling behavior of thin and soft auxetic membranes under edge tractions. The research reveals the non-trivial wrinkling patterns that can occur and disappear as the applied tractions increase, and proposes a mathematical method to model the wrinkling using tension field theory.
EXTREME MECHANICS LETTERS
(2023)
Article
Mechanics
Ying Yang, Wei-Li Ma, Zhen-Liang Hu, Xian-Fang Li
Summary: This article investigates the influence of surface elasticity on the stress intensity factor of an antiplane shear crack embedded in an elastic strip made of functionally graded materials. Numerical calculations reveal that surface elasticity and gradient index strongly alter the bulk stress and its intensity factors near the crack tips. Positive surface shear modulus decreases the mode III stress intensity factors, while negative surface shear modulus has an opposite behavior.
ARCHIVE OF APPLIED MECHANICS
(2021)
Article
Mechanics
Riccardo De Pascalis
Summary: This study investigates the diffusion-induced stress on a solid sphere undergoing radial diffusion charging, considering both linear and nonlinear elasticity theories. The equations are solved using a finite difference numerical scheme. Furthermore, the equations for functionally graded materials are derived, and it is shown how the elastic coefficient can be used to control stress evolution.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Nanoscience & Nanotechnology
Pham Van Vinh
Summary: This study investigates the effects of variable nonlocal parameters on the free vibration of power-law and sigmoid functionally graded nanoplates. The study offers a novel assumption of the smooth variation of nonlocal parameters through the thickness of nanoplates. Verification studies demonstrate the accuracy and efficiency of the proposed algorithm in predicting the free vibration behavior of functionally graded nanoplates.
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
(2022)
Article
Mechanics
Satwinder Jit Amandeep, Satwinder Jit Singh, Srikant Sekhar Padhee
Summary: A closed-form analytical solution for a planar inhomogeneous beam under transverse loading is developed using the variational asymptotic method (VAM). The VAM decouples the problem into cross-sectional and along-the-length analyses, resulting in a set of ordinary differential equations. These equations, along with boundary conditions, have been solved to obtain closed-form analytical solutions. The present formulation has been validated against 3D finite element analysis and previous literature, showing excellent agreement. Key contributions include obtaining solutions without ad hoc assumptions and providing novel closed-form expressions for transverse shear strain and stress in higher-order solutions. The effect of inhomogeneity on various field variables has also been analyzed and discussed.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2023)
Article
Computer Science, Software Engineering
Q. Youn Hong, Gershon Elber, Myung-Soo Kim
Summary: The study focuses on using implicit representations in the construction of microstructures. An implicit function is used to populate a macro-shape parametric form, allowing for the creation of conforming microstructures. The implicit tiles can be parametrized and their geometry can vary across the macro-shape. The framework is demonstrated on several 3D printed heterogeneous models.
COMPUTER-AIDED DESIGN
(2023)
Article
Engineering, Civil
Nam Nguyen, Duc-Huynh Phan
Summary: Understanding nonlinear behavior in advanced engineering structures is crucial for analysis, design, and manufacturing processes. This paper focuses on exploring the nonlinear free vibrational characteristics of bi-directional functionally graded plates with internal pores under various conditions. An approximate numerical model is used to calculate the displacement field, and the nonlinearity in free vibration is assessed using an iterative scheme. Comprehensive parametric investigations are conducted to gain insight into the impact of various factors on the nonlinear free vibration characteristics of plate structures.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Zhiyuan Li, Dan Huang, Yepeng Xu, Kanghao Yan
Summary: This study proposes a nonlocal model for the steady-state thermoelastic analysis of functionally graded materials using Peridynamic differential operator. The displacement-temperature equations and boundary conditions are converted into nonlocal integral forms, and the fields are solved with Lagrange multiplier and variational analysis. Validation of the model is performed by comparing results with finite element analysis and analytical solutions, and the effects of material gradients and loads on FGM plates are investigated with the Mori-Tanaka method. Finally, the influence of nonlocality on stress singularity at crack tips in FGM plates is analyzed.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Civil
O. Kirlangic, S. D. Akbas
Summary: This paper investigates the free and damped forced vibrations of layered and functionally graded composite beams using Timoshenko beam theory and the Ritz method. The effects of material distribution parameter and dynamic parameters on the natural frequencies and forced vibration responses are analyzed and compared in numerical examples.Validation of the formulations is also conducted through comparison studies.
SMART STRUCTURES AND SYSTEMS
(2021)
Article
Mechanics
Wei Li, Yu-Xin Hao, Wei Zhang, Hong Yang
Summary: This paper investigates the resonance behavior of initially imperfect functionally graded material (FGM) cylindrical shells affected by temperature, using various mathematical methods for derivation and analysis, and explores the effects of different factors on the amplitude frequency response.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
R. Sburlati, S. R. Atashipour, S. A. Atashipour
ARCHIVE OF APPLIED MECHANICS
(2015)
Article
Mechanics
Roberta Sburlati, Roberto Cianci
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2015)
Article
Mechanics
S. A. Atashipour, R. Sburlati
COMPOSITE STRUCTURES
(2016)
Article
Engineering, Multidisciplinary
Roberta Sburlati, Ilaria Monetto
COMPOSITES PART B-ENGINEERING
(2016)
Article
Mechanics
Roberta Sburlati, Maria Kashtalyan
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2016)
Article
Mechanics
Roberta Sburlati, Maria Kashtalyan, Roberto Cianci
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2017)
Article
Mechanics
Roberta Sburlati, Roberto Cianci, Maria Kashtalyan
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2018)
Article
Mathematics, Applied
Roberto Cianci, Bruzzone Agostino, Roberta Sburlati
ACTA APPLICANDAE MATHEMATICAE
(2014)
Article
Mechanics
R. Sburlati, S. R. Atashipour, Sh Hosseini-Hashemi
COMPOSITE STRUCTURES
(2013)
Article
Engineering, Multidisciplinary
Sh Hosseini-Hashemi, H. Salehipour, S. R. Atashipour, R. Sburlati
COMPOSITES PART B-ENGINEERING
(2013)
Article
Engineering, Multidisciplinary
R. Sburlati, S. R. Atashipour, S. A. Atashipour
COMPOSITES PART B-ENGINEERING
(2014)
Article
Materials Science, Multidisciplinary
Roberta Sburlati
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2012)
Article
Mechanics
S. A. Atashipour, R. Sburlati, S. R. Atashipour
Article
Mechanics
Roberta Sburlati, Roberto Cianci
COMPOSITE STRUCTURES
(2020)
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)