Article
Chemistry, Physical
Pao-Wen Shao, Meng-Chin Lin, Qian Zhuang, Jiawei Huang, Shi Liu, Hsiao-Wen Chen, Hsiang-Lin Liu, Yu-Jung Lu, Yung-Jung Hsu, Jyh-Ming Wu, Yi-Chun Chen, Ying-Hao Chu
Summary: This study reveals the existence of localized flexoelectric effect in ferroelastic twin texture of ferroelastic materials, and provides evidence that the flexoelectric effect confined at domain wall area facilitates photocarrier transport, which is further supported by dye-degradation and generation of reactive radicals.
APPLIED CATALYSIS B-ENVIRONMENTAL
(2022)
Article
Multidisciplinary Sciences
Hung Le Quang, Qi-Chang He, Nicolas Auffray
Summary: This study investigates the symmetry properties of sixth-order elasticity tensors and reveals 11 reflection symmetry classes with respect to symmetry planes. This classification is distinct from the one obtained with respect to the orthogonal group.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Victor A. Eremeyev
Summary: This study analyzes the constitutive equations of strain gradient fluids based on a unified approach using a local material symmetry group. The strain energy density for the strain gradient medium is dependent on higher-order gradients of placement vector, while for fluids it depends on current mass density and its gradients. Both models found applications in modeling materials with complex inner structures, such as beam-lattice metamaterials, and were introduced independently on general strain gradient continua.
MATHEMATICS AND MECHANICS OF SOLIDS
(2021)
Article
Chemistry, Multidisciplinary
Varun Harbola, Samuel Crossley, Seung Sae Hong, Di Lu, Yorick A. Birkholzer, Yasuyuki Hikita, Harold Y. Hwang
Summary: Young's modulus plays a crucial role in determining the mechanical behavior of materials, particularly in flexoelectric materials where the modulus may vary nonmonotonically with thickness and be influenced by strain gradients. Nanomechanical measurements of SrTiO3 crystalline membrane drumheads reveal unexpected thickness dependence of Young's modulus, with significantly different values obtained for predominantly bending and stretching deformations in membranes thinner than 20 nm. In this regime, a strain gradient elastic coupling of around 2.2 µN is extracted, suggesting potential applications in new operational regimes of nanoelectro-mechanics.
Article
Engineering, Multidisciplinary
Victor A. Eremeyev
Summary: We discuss the ellipticity properties of an enhanced model of poroelastic continua called dilatational strain gradient elasticity. We show that the equilibrium equations are elliptic in the sense of Douglis-Nirenberg, which is a more general condition than ordinary and strong ellipticity. The loss of ellipticity can be considered as a criterion for strain localization or material instability.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Engineering, Multidisciplinary
Victor A. Eremeyev
Summary: We discuss the ellipticity properties of an enhanced model of poroelastic continua called dilatational strain gradient elasticity. We show that the equilibrium equations are elliptic in the sense of Douglis-Nirenberg, which is more general than ordinary and strong ellipticity. The loss of ellipticity can be considered as a criterion for strain localization or material instability.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Materials Science, Multidisciplinary
M. Budnitzki, S. Sandfeld
Summary: In this study, a framework based on first strain gradient elasticity is introduced to regularize the dislocation core, with two different strain energy densities compared. The results show that strain energy quadratic in the gradient of the full deformation tensor can regularize both stresses and driving forces for the order parameter.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Article
Engineering, Mechanical
Sansit Patnaik, Sai Sidhardh, Fabio Semperlotti
Summary: This study introduces a fractional-order continuum mechanics approach that can capture stiffening and softening effects in a stable manner. The method is suitable for static and free vibration analysis, able to simulate the response of Timoshenko beams or Mindlin plates.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Engineering, Multidisciplinary
Sergei Khakalo, Anssi Laukkanen
Summary: This study combines Mindlin's strain gradient elasticity theory and Gudmundson-Gurtin-Anand strain gradient plasticity theory to form a unified framework, enriching the modeling capabilities by including the gradient of elastic strains. Numerical results show that the elastic length scale parameter controls the slope of the elastic part and causes additional hardening in the plastic part of the material response curves.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
Victor A. Eremeyev, Leonid P. Lebedev, Michael J. Cloud
Summary: This study investigates the existence and uniqueness of weak solutions to boundary value problems describing an elastic body with weakly nonlocal surface elasticity. The chosen model includes surface strain energy as a quadratic function and the virtual work principle is extended for higher-order strain gradient media. Energy functional spaces of Sobolev type are introduced to characterize the smoothness of solutions. Compared with classical linear elasticity solutions, weak solutions for solids with surface stresses are shown to be smoother on the boundary.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2021)
Article
Mechanics
Victor A. Eremeyev, Markus Lazar
Summary: This paper discusses the application of the strong ellipticity condition in the Toupin-Mindlin first strain gradient elasticity theory, and explains its relationship with material instability and mathematical properties of boundary-value problems.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Engineering, Civil
Guangyang Fu, Zhenjie Zhang, Chunmei Dong, Yanfei Sun, Jianjun Wang, Hongyu Zheng
Summary: A extended piezomagnetic elasticity theory is developed to describe the size effects phenomenon by incorporating strain gradient elasticity and flexomagneticity. The influence mechanism of strain gradient elasticity on magneto-mechanical response is clarified through analysis of Terfenol-D/Silicon bilayer microbeam. Results show that strain gradient effects and flexomagnetic effects significantly affect the magnetic potential and bending deflection when the beam thickness is comparable to the material length-scale parameters. The extended piezomagnetic elasticity theory with general strain gradient elasticity predicts the magneto-mechanical behavior more appropriately compared to that with reduced strain gradient elasticity.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Baotong Li, Yuqi Duan, Hua Yang, Yanshan Lou, Wolfgang H. Muiller
Summary: In this paper, optimal topologies of isotropic linear elastic strain gradient materials are investigated using isogeometric topology optimization. Strain gradient theory is applied to capture the microstructural effects of materials and regulate stress/strain concentration phenomena.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
T. Gortsas, D. G. Aggelis, D. Polyzos
Summary: Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories used to explain phenomena that classical elasticity cannot explain. This study aims to derive all the strain gradient elastic theories appearing in the literature via the nonlocal definitions of energy densities and Hamilton's principle.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Nanoscience & Nanotechnology
B. Zhu, Y. Liu
Summary: An anisotropy Cosserat continuum model is proposed to describe the mechanical behavior of nanotwinned copper, taking into account the differences in crystal orientation and strain gradient between the twin and the matrix. The model shows good agreement with experimental stress-strain curves of nanotwinned copper with varying twin thickness and coarse grain copper. The effects of twin spacing, twin thickness, and preferred orientation on the mechanical performance of nanotwinned copper are systematically studied, with the results revealing that the anisotropy effect mainly affects elastic modulus and yield strength, while the strain gradient effect influences yield strength and strain hardening rate. The results also demonstrate the importance of coordinated deformation between different nanotwinned structures in achieving stress softening or uniform stress distribution.
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2023)
Article
Materials Science, Multidisciplinary
H. Nassar, Q-C. He, N. Auffray
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2016)
Article
Materials Science, Multidisciplinary
N. Auffray, B. Kolev, M. Olive
MATHEMATICS AND MECHANICS OF SOLIDS
(2017)
Article
Mechanics
Giuseppe Rosi, Luca Placidi, Nicolas Auffray
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2018)
Article
Mechanics
M. Poncelet, A. Somera, C. Morel, C. Jailin, N. Auffray
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2018)
Article
Thermodynamics
B. Desmorat, N. Auffray
CONTINUUM MECHANICS AND THERMODYNAMICS
(2019)
Article
Multidisciplinary Sciences
R. Desmorat, N. Auffray, B. Desmorat, B. Kolev, M. Olive
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2019)
Article
Mechanics
G. Rosi, N. Auffray
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2019)
Article
Mechanics
Thibault Dassonyille, Martin Poncelet, Nicolas Auffray
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Article
Mechanics
J. Yvonnet, N. Auffray, V Monchiet
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Article
Materials Science, Multidisciplinary
Vincent Monchiet, Nicolas Auffray, Julien Yvonnet
MECHANICS OF MATERIALS
(2020)
Article
Multidisciplinary Sciences
Houssam Abdoul-Anziz, Nicolas Auffray, Boris Desmorat
Article
Multidisciplinary Sciences
Giuseppe Rosi, Nicolas Auffray, Christelle Combescure
Article
Mechanics
N. Auffray, H. Abdoul-Anziz, B. Desmorat
Summary: Strain-gradient elasticity is a strategy to describe the overall behavior of materials with coarse mesostructure, utilizing higher-order constitutive tensors to capture rich physical phenomena. However, these tensors have complex algebraic structures. The Clebsch?Gordan Harmonic Algorithm introduced in this paper provides an explicit harmonic decomposition for higher-order tensors, allowing for orthogonality and uniqueness in the decomposition results. This algorithm holds potential applications beyond strain-gradient elasticity in mechanics involving higher-order tensors.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Mathematics, Applied
M. Olive, B. Kolev, N. Auffray
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2017)
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)