Article
Engineering, Mechanical
Lihao Huang, Huang Yuan, Haiyan Zhao
Summary: Lattice metamaterials are increasingly used in weight-critical applications, and additive manufacturing technology provides more design freedoms. A new homogenization method based on finite element methods was proposed for accurate modeling of the mechanical behavior of complex microstructures. The mapping relation between lattice and finite element mesh, as well as edge effects, were clarified and modeled. The homogenization approach showed high numerical accuracy and outperformed the classical continuum model.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
A. Gad, X-L Gao, K. Li
Summary: A new strain energy-based method is developed for homogenization of 2-D and 3-D cellular materials using an extended version of Hill's Lemma for the non-Cauchy continuum. For 2-D cellular materials, both kinematic and mixed boundary conditions can be used for homogenization, while for 3-D cellular materials, homogenization can be achieved using mixed boundary conditions. The proposed method provides more accurate results compared to the existing strain energy-based homogenization method.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
S. E. Alavi, J. F. Ganghoffer, M. Sadighi, M. Nasimsobhan, A. H. Akbarzadeh
Summary: This paper evaluates the mechanical properties of repetitive lattice materials using Timoshenko beam models and a continualization method. It also proposes a surface formulation to quantify the edge effects in lattice structures. The results show that the proposed method is accurate and computationally efficient.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Multidisciplinary Sciences
Chen Zhang, Fujia Tian, Ying Lu, Bing Yuan, Zhi-Jie Tan, Xing-Hua Zhang, Liang Dai
Summary: DNA deformations can occur upon environmental changes, and an increase in salt concentration leads to DNA overwinding. Our magnetic tweezers experiments and simulations demonstrate that the twist change induced by salt can be quantitatively explained by the screening of electrostatic repulsion and the coupling between twist and DNA diameter. We determine the coupling constant and predict the temperature dependence of DNA twist, finding that the twist-diameter coupling is a common driving force for salt- and temperature-induced DNA twist changes.
Article
Materials Science, Multidisciplinary
Zeyang Chi, Jinxing Liu, Ai Kah Soh
Summary: The homogenization procedure of planar chiral structures within micropolar theory predicts constitutive behaviors, demonstrating a strong coupling between stretch and shear in square lattices. Microstructural geometric parameters influence the homogenized Young's modulus and Poisson's ratio. Micropolar characteristic lengths are given explicitly in terms of microstructural parameters for adjusting size effects.
MECHANICS OF MATERIALS
(2021)
Article
Materials Science, Multidisciplinary
Zhihao Yuan, Zhiming Cui, Jaehyung Ju
Summary: The study establishes a generalized micropolar homogenization method to characterize the elastic constants of chiral and achiral lattices, revealing coupling effects and directional Poisson's ratio properties of different structures. This offers a powerful platform for designing metamaterials by adjusting both anisotropy and chirality through geometric reconfiguration of lattice structures.
MATERIALS & DESIGN
(2021)
Article
Mechanics
Kamel Berkache, Srikantha Phani, Jean-Francois Ganghoffer
Summary: The effective elastic properties and mode I elastic fracture toughness of three isotropic planar lattices - hexagonal, kagome, and triangular - are studied from a micropolar continuum perspective. The results show that different lattices exhibit different dominant properties under macroscopic loading, and their micropolar internal length parameters and elastic properties have a close scaling relationship with relative density. Compared to the triangular and kagome lattices of identical relative density, the hexagonal lattice exhibits an order of magnitude higher couple stress intensity factor, indicating the importance of micropolar effects in bending dominated architectures.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mechanics
Chaosheng Mei, Li Li, Xiaobai Li, Haishan Tang, Xiangzhen Han, Xuelin Wang, Yujin Hu
Summary: A nonlocality-based homogenization method and a corresponding framework for calibration of its nonlocal parameters are proposed for periodic metamaterials. The calibration of nonlocal parameters is realized through the analysis of both macroscopic and microscopic representative volume element of metamaterials with periodic boundary conditions. Numerical results show that nonlocal parameters are dispersive for metamaterials rather than constant as traditional nonlocal theories indicate. The proposed method accurately predicts the eigenfrequencies and band gaps of metamaterial structures in a higher frequency range.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Gael Pierson, Richard Kouitat-Njiwa, Pierre Bravetti
Summary: Micropolar elasticity is a multi-fields problem, and the numerical solution of the field equations by combining local point interpolation method with pure BEM can be applied to 3D problems. The effectiveness of this approach has been demonstrated in examples such as indentation, and an initial analysis of the impact of microstructure on macroscopic response is presented.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Materials Science, Multidisciplinary
Zhiming Cui, Jaehyung Ju
Summary: This study systematically investigates all possible mechanical couplings in 2D lattice structures and correlates them with point-group symmetry, which can enhance the design of mechanical metamaterials with potential applications.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Mathematics, Applied
Zeyang Chi, Jinxing Liu, A. K. Soh
Summary: This study investigates the relations between macroscopic elastic constants and microstructural geometric parameters using the micropolar and strain gradient continua. By comparing the results of different theories for triangular lattice, it is found that the bending of the beams plays a more significant role in total strain energy as the angle of the zigzag beams increases, and the difference between the results by the two theories gradually decreases. The models are validated through comparison with results obtained by the finite element method.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2023)
Article
Engineering, Civil
Haishan Tang, Chenglin Zhang, Li Li, Chaosheng Mei, Ling Ling, Yujin Hu
Summary: This study proposes an analytical framework to address the issue of why some structures have numerous rotations but do not exhibit the auxetic behavior. It quantitatively analyzes the independent effects of direct bending of ligaments and rotation of rigid rings on the mechanical properties of chiral and antichiral honeycombs. The study derives analytical expressions for TTC coefficients, Poisson's ratio, and Young's modulus and reveals the effects of various factors on these properties.
THIN-WALLED STRUCTURES
(2023)
Article
Mechanics
S. E. Alavi, M. Nasimsobhan, J. F. Ganghoffer, A. Sinoimeri, M. Sadighi
Summary: A homogenization methodology is proposed for constructing effective Cosserat substitution media for heterogeneous materials, applicable to various architected materials exhibiting micropolar chiral effects. The method provides size-independent higher-order effective moduli and is validated through computation of effective micropolar moduli for periodic lattice materials.
Article
Physics, Condensed Matter
Tyler DeValk, Jonah Hestetune, Roderic S. Lakes
Summary: In this study, it was observed that the chiral gyroid lattice exhibits temperature-induced twist with the direction of twist corresponding to the sense of chirality. The Poisson's ratio of the gyroid is known to be about 0.3 with minimal dependence on size.
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS
(2022)
Article
Mechanics
Tiantian Li, Yaning Li
Summary: The anisotropic elastic mechanical properties of a family of single material chiral mechanical metamaterials were systematically explored, and an integrated constitutive model was developed to quantify the anisotropic mechanical properties of the chiral designs with different geometries.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2022)
Article
Mechanics
Ying Li, Xianben Ren, Xiaoqiang Zhang, Yanfei Chen, Tian Zhao, Daining Fang
Summary: The study investigated the deformation and failure modes of aluminum foam-cored sandwich plates through air-blast experiments and finite element modeling, revealing different failure modes and internal stress distributions under various impacts. The research provided a theoretical basis for engineering design by establishing mathematical models to verify the findings.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Lei Ge, Huimin Li, Huayong Zheng, Chun Zhang, Daining Fang
Summary: A two-scale progressive damage method coupled with representative volume cell (RVC) has been developed to predict the mechanical properties of 3D braided composites considering pore defects. Results show that the void-model is superior to the element-model when predicting the mechanical properties of braided composites.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Composites
Chunwang He, Jingran Ge, Jiaying Gao, Jiapeng Liu, Haosen Chen, Wing Kam Liu, Daining Fang
Summary: Concurrent multiscale simulation is a powerful tool for capturing the mechanical behavior of composites from different scales simultaneously, but faces challenges due to computational costs. This paper introduces an effective reduced order model called data-driven self-consistent clustering analysis (SCA) to address the challenge. The proposed SCA2 framework successfully captures the non-linear behavior of 3D braided composites and shows great accuracy and efficiency when applied to simulations validated with experiments.
COMPOSITES SCIENCE AND TECHNOLOGY
(2021)
Article
Materials Science, Composites
Lei Ge, Huimin Li, Jiehua Zhong, Chun Zhang, Daining Fang
Summary: Researchers have developed a trans-scale method coupled with Micro-CT to investigate the strength and damage behavior of 3D braided composites with pore defects. The finite element models established on Micro-CT data accurately predict the stress-strain response and failure modes of the composites. The study also shows the diverse influences of interface properties on yarns and braided composites under different loading conditions.
COMPOSITES SCIENCE AND TECHNOLOGY
(2021)
Article
Materials Science, Multidisciplinary
P. Wang, K. F. Wang, B. L. Wang, L. Xi, K. Sano, T. Shimada, H. Hirakata, D. N. Fang
Summary: This study aims to stably and accurately measure the interlaminar fracture toughness (IFT) of multilayered Bi2Te3 for evaluating the reliability of its thermoelectric devices. By developing a tapered cantilever bending (TCB) experiment, the measurement of IFT for Bi2Te3 was successfully achieved, providing a new method for assessing multilayered materials.
EXPERIMENTAL MECHANICS
(2022)
Article
Materials Science, Composites
Qiubo Li, Yihui Chen, Yanfei Chen, Shigang Ai, Daining Fang
Summary: This study aims to investigate the effect of void defects on the failure behavior and strength of C/SiC composites. Micro-computed tomography and finite element models were used to study the influence of void volume fractions and geometry on the materials. This research is important for better understanding the impact of defects on the mechanical behavior of composite materials.
APPLIED COMPOSITE MATERIALS
(2022)
Article
Engineering, Multidisciplinary
Tianhao Liu, Fanglin Huang, Weibin Wen, Shanyao Deng, Shengyu Duan, Daining Fang
Summary: An improved explicit time integration method using cubic B-spline interpolation approximation and weighted residual method is proposed, which achieves high computation accuracy and stability.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mechanics
Dong Wu, Zeang Zhao, Hongshuai Lei, Hao-Sen Chen, Qiang Zhang, Panding Wang, Daining Fang
Summary: Natural tissues can self-strengthen through biological growth, while synthetic materials are typically static. The concept of bio-inspired materials aims to develop materials with dynamically programmable performances. A solvent-free elastomer composite system is proposed in this study, which can be strengthened through tunable self-growth cycles and is compatible with Digital Light Processing (DLP) 3D printing for fast manufacturing of high-precision structures.
COMPOSITE STRUCTURES
(2022)
Article
Materials Science, Composites
Chunwang He, Jingran Ge, Xiaofei Cao, Yanfei Chen, Haosen Chen, Daining Fang
Summary: Manufacturing uncertainties in composites, such as carbon fiber deviations and voids, can impact mechanical properties. Although experiments have been conducted, quantitative characterization of fiber radius and shape deviations, and matrix void content, remain a challenge. A computational micromechanics study was conducted to understand the effects of manufacturing uncertainties on the mechanical behavior of UD composites under different loading conditions. The methodology involved establishing constitutive laws for constituents, modeling RVEs with deviations based on observations, and predicting stress-strain curves and failure modes.
COMPOSITES SCIENCE AND TECHNOLOGY
(2022)
Article
Mechanics
Weibin Wen, Shanyao Deng, Tianhao Liu, Shengyu Duan, Fanglin Huang
Summary: The study presented an improved explicit time integration method based on quartic B-spline interpolation for linear and nonlinear dynamics, achieving high accuracy with the ability to adjust numerical dissipation and precision. Results demonstrated its effectiveness in linear and nonlinear dynamic problems, providing stable and accurate solutions compared to classical explicit methods.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Materials Science, Ceramics
Yanfei Chen, Shigang Ai, Pan Wang, Daining Fang
Summary: A physically based constitutive model for braided silicon carbide ceramic matrix composites (CMCs-SiC) at ultra-high temperature is developed, considering material orthotropy, temperature effect, tension-compression asymmetry, and crack closure effect. The model, implemented using a return mapping algorithm, shows good agreement with experimental data in predicting stress-strain relationships at different stress states and temperatures.
JOURNAL OF THE AMERICAN CERAMIC SOCIETY
(2022)
Article
Engineering, Multidisciplinary
Jinyue Zhang, Lei Shi, Tianhao Liu, De Zhou, Weibin Wen
Summary: This work examines the application of the Wen method, a three substeps' implicit time integration method, in nonlinear finite element analysis. The analysis shows that the Wen method performs well in numerical dissipation, amplitude decay, and period elongation. Theoretical analysis and numerical simulations suggest that the Wen method is accurate and efficient for solving nonlinear dynamic problems.
MATHEMATICAL PROBLEMS IN ENGINEERING
(2021)
Review
Chemistry, Multidisciplinary
Jixiang Qi, Zihao Chen, Peng Jiang, Wenxia Hu, Yonghuan Wang, Zeang Zhao, Xiaofei Cao, Shushan Zhang, Ran Tao, Ying Li, Daining Fang
Summary: Active mechanical metamaterials combine mechanical metamaterials with smart materials for superior performance, with structures designed based on principles such as phase transition and strain mismatch. External stimuli like temperature, chemicals, and light are used for control and efficiency.
Article
Computer Science, Interdisciplinary Applications
Tianhao Liu, Weibin Wen, Pan Wang, Fan Feng
Summary: This study proposes an improved time-marching procedure based on a composite explicit method for non-viscous damping systems. The method introduces an improved integral approximation scheme to enhance the convolution solution accuracy, which is applicable to any causal kernel function. The mathematical derivation and calculation procedure based on the composite explicit method are formulated for non-viscous damping systems. Numerical simulations of representative examples demonstrate that the adopted composite explicit method exhibits better stability and accuracy properties compared to other explicit methods.
ENGINEERING WITH COMPUTERS
(2023)
Article
Multidisciplinary Sciences
Handong Jiao, Zhaoliang Qu, Shuqiang Jiao, Yang Gao, Shijie Li, Wei-Li Song, Haosen Chen, Hongmin Zhu, Rongqi Zhu, Daining Fang
Summary: High-temperature electrochemistry is widely used but real-time observations and in-depth understanding of its evolution are limited. In this study, a high-temperature electrolysis facility with in situ x-ray computer microtomography was developed to probe the dynamic evolution of electrodes. The results provide insights into the efficiency and mechanisms of the process, as well as real-time optimization.
Article
Materials Science, Multidisciplinary
Yanzheng Wang, Qian Wu, Yiran Tian, Guoliang Huang
Summary: This paper proposes the microstructure design of an odd plate and investigates the directional wave energy amplification and the presence of interface waves in odd plates through theoretical and numerical analysis. The research findings contribute to the understanding of elastic behavior in 2D non-Hermitian systems.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
F. Greco, D. Codony, H. Mohammadi, S. Fernandez-Mendez, I. Arias
Summary: This study overcomes the difficulty of harnessing the flexoelectric effect by designing multiscale metamaterials. Through topology optimization calculations, we obtain optimal structures for various apparent piezoelectric properties and find that low-area-fraction lattices are the preferred choice. The results show competitive estimations of apparent piezoelectricity compared to reference materials such as quartz and PZT ceramics.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Xiaoxuan Zhang, Tryaksh Gupta, Zhenlin Wang, Amalie Trewartha, Abraham Anapolsky, Krishna Garikipati
Summary: This study presents a computational framework for coupled electro-chemo-(nonlinear) mechanics at the particle scale in solid-state batteries, including interfacial fracture, degradation in charge transfer, and stress-dependent kinetics. The discontinuous finite element method allows for arbitrary particle shapes and geometries.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Chengguan Zhang, Xavier Balandraud, Yongjun He
Summary: The coexistence of both austenite and martensite is a common characteristic in Shape Memory Alloys (SMAs). The multiple-domain microstructures, consisting of austenite, martensite twins, and individual martensite variants, evolve collectively during the phase transformation, affecting the material's macroscopic response. This paper presents an experimentally observed interface consisting of five domains in a Ni-Mn-Ga single-crystal, and analyzes the effects of thermal loading path and material initial state on the domain pattern formation.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Shaobao Liu, Haiqian Yang, Guang-Kui Xu, Jingbo Wu, Ru Tao, Meng Wang, Rongyan He, Yulong Han, Guy M. Genin, Tian Jian Lu, Feng Xu
Summary: The balance between stress and adhesion plays a crucial role in governing the behaviors of adherent cells, such as cell migration. In certain microenvironments, such as tumor, variations in hydrostatic pressure can significantly impact cell volume and adhesion, which in turn affects cell behavior.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Xun Xiong, Qinglei Zeng, Yonghuan Wang, Ying Li
Summary: In this work, the authors investigate the possibility of enhancing the resistance to crack growth in brittle materials through microstructure design. They establish a computational framework to simulate crack propagation and characterize fracture energy. The effects of different types of voids on toughening mechanisms are explored, and the critical conditions for embrittlement-toughening transition are identified. The study also discusses the difference between void toughening in brittle and ductile materials, and extends the toughening strategy to nacre-like materials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Huan Wang, Yong-Quan Liu, Jiu-Tao Hang, Guang-Kui Xu, Xi-Qiao Feng
Summary: This study establishes a cytoarchitectural model to accurately capture the buckling and postbuckling behaviors of epithelia under fast compression. The stress evolution of epithelia is divided into three stages: loading, phase transition, and stress recovery. The postbuckling process is governed by the active tension generated by the actomyosin network. The study also proposes a minimal model that predicts the flattening time and stress recovery extent as functions of applied strain or strain rate, in agreement with simulations and experiments.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Lei Liu, Hao Liu, Yuming He, Dabiao Liu
Summary: This study investigates the mechanics and topologically complex morphologies of twisted rubber filaments using a combination of experiment and finite strain theory. A finite strain theory for hyperelastic filaments under combined tension, bending, and torsion has been established, and an experimental and theoretical morphological phase diagram has been constructed. The results accurately determine the configuration and critical points of phase transitions, and the theoretical predictions agree closely with the measurements.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Abhishek Painuly, Kunnath Ranjith, Avinash Gupta
Summary: This paper analyzes the interfacial waves caused by frictional slipping and studies their dispersion relation and wave modes. By studying the slip waves in a geophysical model, the surface wave dispersion phenomenon is explored, and an alternative explanation is proposed.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Houlin Xu, Joshua Vievering, Hoang T. Nguyen, Yupeng Zhang, Jia-Liang Le, Zdenek P. Bazant
Summary: Motivated by the extraordinary strength of nacre, this study investigated the probabilistic distribution of fishnet strength using Monte Carlo simulations and found that previous analytical solutions are not applicable for fishnets with a large number of links. By approximating large-scale fishnets as a continuum with cracks or holes, the study revealed that the strength distribution follows the Weibull distribution. This new model has significance for optimizing the strength-weight ratio in printed material structures.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Souhayl Sadik, Arash Yavari
Summary: This paper revisits the mathematical foundations of nonlinear viscoelasticity and studies the geometry of viscoelastic deformations. It discusses the decomposition of the deformation gradient into elastic and viscous distortions and concludes that the viscous distortion can only be a two-point tensor. The governing equations of nonlinear viscoelasticity are derived and the constitutive and kinetic equations for various types of viscoelastic solids are discussed.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Wen Cheng, Hongkuan Zhang, Yu Wei, Kun Wang, Gengkai Hu
Summary: In this study, we propose a phenomenon similar to Thouless pumping for a continuous in-plane elastic system, enabling topological transport of elastic waves through spatial modulation of material elasticity. By incorporating specific lattice microstructures, termed pentamode materials, precise and robust control over elastic wave propagation is achieved.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Linda Werneck, Mertcan Han, Erdost Yildiz, Marc-Andre Keip, Metin Sitti, Michael Ortiz
Summary: We have developed a simple model that describes the ionic current through neuronal membranes by considering the membrane potential and extracellular ion concentration. The model combines a simplified Poisson-Nernst-Planck model of ion transport through individual ion channels with channel activation functions calibrated from experimental data. The calibrated model accounts for the transport of calcium, sodium, potassium, and chloride and shows remarkable agreement with experimentally measured current-voltage curves for human neural cells.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
