Article
Mechanics
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: This study provides a solution for determining the effective linear and nonlinear elastic properties of particulate composites subjected to finite elastic deformations. It involves weak nonlinearity to describe the behavior of engineering materials and composites under elastic loading, and derives a nonlinear analogue of the Eshelby solution for spherical particle deformation. The obtained theoretical results are consistent with known relationships for linear material properties and with limited experimental data.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Mechanics
Yuqiang Gao, Lifeng Wang
Summary: In this paper, a new composite metamaterial structure with negative effective mass density, negative effective modulus, and an ultralarge Poisson's ratio is designed for various applications including vibration isolation, wave filtering, programmable waveguide construction, and negative refraction. The metamaterial achieves vibration isolation with different frequency ranges through shunting circuits and a negative longitudinal modulus in a two-dimensional plate with an ultralarge Poisson's ratio. By controlling the shunting circuits, wave propagation and waveguide construction can be programmatically realized, and negative refraction is also achieved without altering the geometric structure of the metamaterial.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Mechanical
Roderic S. Lakes
Summary: Buckling leads to softening of the structural stiffness in columns and ribs, while pre-compression of foam materials results in decreased warping compared to classical elasticity predictions. Pre-compression also increases warping compared to non-pre-compressed materials, with this effect attributed to the release of stored energy during pre-compression.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Thermodynamics
Yun-Che Wang, Chih-Chin Ko, Keng-Wei Chang, Tsai-Wen Ko
Summary: This study investigates the effective viscoelastic properties and effective coupled-field properties of composite materials, the influence of negative stiffness on system stability, and the stability boundaries under different volume fractions.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Thermodynamics
Mircea Birsan, Daniel Pietras, Tomasz Sadowski
Summary: Starting from a Cosserat-type model for curved rods, analytical expressions for the effective stiffness coefficients of multilayered composite beams with various layers are derived in this study. The obtained general formulas are applied to calculate exact analytical solutions for some beam problems, and the numerical simulations demonstrate a wide range of validity and applicability of these formulas. The layers of the composite beam consist of different orthotropic or isotropic non-homogeneous elastic materials.
CONTINUUM MECHANICS AND THERMODYNAMICS
(2021)
Article
Engineering, Mechanical
Che-Yu Lin, Siang-Rong Lin
Summary: The study found that compressional viscoelastography cannot accurately measure the viscoelastic properties of the inclusion unless the difference in properties between the inclusion and background material is very small. However, compressional viscoelastography can accurately measure the viscoelastic properties of the background material regardless of differences in properties between the inclusion and background material. This suggests challenges in applying compressional viscoelastography to measure viscoelastic properties within real biological tissues.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Volodymyr Kushch
Summary: This study examines the representative unit cell (RUC) model of elastic spherical particle composite, obtaining rigorous analytical solutions using the multipole expansion method in a unified manner. The use of vector spherical harmonics simplifies the solving procedure, while comparison of experimental and model data confirms the correctness and applicability of the model.
MECHANICS OF MATERIALS
(2021)
Article
Instruments & Instrumentation
Changlang Wu, Chenxi Peng, Tu C. Le, R. Das, Phuong Tran
Summary: The paper proposes a class of tunable metamaterials that use inclined beams to achieve instability in a rigid system. The effects of different beam tilt angles on structural stiffness and buckling load are evaluated through experiments and simulations. The results show that the inclination angle of the tilted beams has a positive correlation with the structural properties. A design plot is provided to predict and tune the snap-through behavior of multiple-layered structures via beam angles and unit-cell arrangements.
SMART MATERIALS AND STRUCTURES
(2023)
Article
Chemistry, Multidisciplinary
Thomas J. Petet, Halston E. Deal, Hanhsen S. Zhao, Amanda Y. He, Christina Tang, Christopher A. Lemmon
Summary: Cells can sense mechanical properties and make decisions accordingly, with most research focusing on cellular responses to substrate stiffness. There is currently no direct experimental method to detect the viscous effects of a substrate, but researchers can control substrate mechanical properties using polymers with different PDMS formulations.
Article
Physics, Applied
A. Ganeau, M. Lafond, F. Legrand, G. Laloy-Borgna, O. Ben Moussa, S. Poinard, F. Mascarelli, G. Thuret, P. Gain, C. Lafon, S. Catheline
Summary: This study characterizes the viscoelastic properties of in vitro crystalline lens samples using a curvilinear harmonic method based on noise correlation algorithms. The study observes the dispersion of surface waves at different frequencies and provides accurate measurements of shear elasticity and viscosity. The findings have implications for potential treatments of presbyopia.
APPLIED PHYSICS LETTERS
(2023)
Article
Mechanics
Xiaojun Tan, Bing Wang, Lianchao Wang, Shaowei Zhu, Shuai Chen, Kaili Yao, Peifei Xu
Summary: In this study, the mechanical properties of beam structures with different configurations (tilted, curved, and arched shapes) and the influence of variable cross-section design were investigated. The results show that the curved and tilted beam structures exhibit better performance in different parameter regions and are more suitable for constructing metamaterials than the arched beam structure.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Shuai Chen, Xiaojun Tan, Jiqiang Hu, Bing Wang, Lianchao Wang, Yajun Zou, Linzhi Wu
Summary: This study investigates the potential of negative stiffness (NS) mechanical metamaterials in the field of energy absorption. The study proposes and fabricates a reusable continuous carbon fiber reinforced polymer (CFRP) composite NS mechanical metamaterial. It comprehensively understands the structural quasistatic mechanical properties through compression tests and numerical simulations, verifies the repeatability of the metamaterial through cyclic compression, and investigates the influence of structural parameters and stacking sequence on the mechanical properties. The study also conducts plate-impact tests to evaluate the cushion performance of the metamaterial.
COMPOSITE STRUCTURES
(2022)
Article
Biology
Angela M. Mossor, Jesse W. Young, Michael T. Butcher
Summary: The material properties of limb bones from tree sloths show lower strength and elastic modulus in compression and bending compared to pronograde taxa, supporting the hypothesis that sloth limb bones are modified for enhanced tensile strength.
JOURNAL OF EXPERIMENTAL BIOLOGY
(2022)
Article
Engineering, Multidisciplinary
C. Calvo-Jurado, P. Roldan-Oliden
Summary: This article presents explicit expressions describing the anisotropic linear elastic moduli of geosynthetic-reinforced soils, based on Hashin-Shtrikman bounds. It also discusses the various applications and functions of geosynthetics in civil engineering and construction.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Materials Science, Multidisciplinary
Wei Shi, Jin Huang, Tianxu Zhou, Yichao Xu, Hao Yan, Mingjie Liu
Summary: This study reports a new design of composite hydrogels inspired by the synergy between soft and hard constituents from load-bearing tissues. The composite hydrogels with a soft matrix (positive Poisson's ratio) and hard skeletons (negative Poisson's ratio) were significantly stiffer than the matrix and skeleton individually. The repulsion effect of positive and negative Poisson's ratio between the soft matrix and hard skeletons was revealed using finite element analysis, providing insight into the future design of composite hydrogels based on the synergistic effect of soft and hard components.
SCIENCE CHINA-MATERIALS
(2023)
Article
Materials Science, Multidisciplinary
Romik Khajehtourian, Dennis M. Kochmann
Summary: Reconfigurable structures are becoming increasingly important in soft robotics, deployable systems, and programmable metamaterials. This paper introduces an effective continuum description for dissipative reconfigurable metamaterials, allowing for efficient and accurate depiction of time-dependent reconfiguration mechanisms.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Editorial Material
Mechanics
Harry Dankowicz, Chloe Arson, Yashashree Kulkarni, Arezoo Ardekani, Samantha H. Daly, Dennis M. Kochmann, Michael Leamy, Gary Seidel, Thomas Siegmund, Petia Vlahovska, Yaoyao Fiona Zhao
APPLIED MECHANICS REVIEWS
(2021)
Article
Materials Science, Multidisciplinary
Suhas Eswarappa Prameela, Peng Yi, Yannick Hollenweger, Burigede Liu, Joey Chen, Laszlo Kecskes, Dennis M. Kochmann, Michael L. Falk, Timothy P. Weihs
Summary: Magnesium alloys have great potential for structural applications due to their low density. The addition of other elements improves their mechanical properties and corrosion resistance. The formation of solute clusters and precipitates in the magnesium matrix significantly affects the alloy's plastic response. Plastic deformation during thermomechanical processing also impacts the formation of solute clusters and precipitates. This paper discusses the improvement of mechanical properties in magnesium alloys and strategies for optimizing microstructures.
MECHANICS OF MATERIALS
(2022)
Article
Multidisciplinary Sciences
Jan-Hendrik Bastek, Siddhant Kumar, Bastian Telgen, Raphael N. Glaesener, Dennis M. Kochmann
Summary: This study proposes a deep-learning framework combined with enforced physical constraints to predict truss architectures with fully tailored anisotropic stiffness. The framework covers a vast design space and accurately identifies architectures matching previously unseen stiffness responses. It has applications in various fields, including bone implants.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Engineering, Mechanical
Romik Khajehtourian, Michael J. Frazier, Dennis M. Kochmann
Summary: This study demonstrates the use of magnetically-controlled and elastically-coupled multistable pendula as versatile structural analogs of ferroelectric crystals, showing quantitative analogy with material-level transitions and including structural-level realizations of temperature and lattice defects. This new mechanical analog complements existing photonic, phononic, and topological metamaterials by simulating the nonlinear dissipative kinetics of structural transformations.
EXTREME MECHANICS LETTERS
(2022)
Article
Mechanics
Bastian Telgen, Ole Sigmund, Dennis M. Kochmann
Summary: In this paper, a computational framework for topology optimization of spatially varying cellular structures is introduced and applied to functionally graded truss lattices under quasistatic loading. The method utilizes a first-order homogenization approach and employs finite elements to handle the effective continuum description of the truss. The optimization problem is formulated with respect to the spatially varying basis vectors, and its feasibility and performance are demonstrated through benchmark problems.
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
(2022)
Article
Materials Science, Multidisciplinary
Shashank Saxena, Miguel Spinola, Prateek Gupta, Dennis M. Kochmann
Summary: This study presents a computational technique to determine the energy and elastic properties of solid surfaces at non-zero temperature and investigates the effect of temperature on the surface properties of different materials.
COMPUTATIONAL MATERIALS SCIENCE
(2022)
Article
Astronomy & Astrophysics
Graeme W. Milton
Summary: This article studies a gravitational model with torsion, suggesting that it could provide an explanation for dark matter and dark energy in the universe. The model can be interpreted as using the Einstein gravitational equations, where certain regions of spacetime are filled with a perfect fluid with negative energy and positive mass density, while other regions contain an anisotropic substance with negative mass density and a uniaxial stress tensor.
Article
Mathematics, Applied
Jendrik Voss, Robert J. Martin, Oliver Sander, Siddhant Kumar, Dennis M. Kochmann, Patrizio Neff
Summary: This article discusses numerical approaches for finding counterexamples to quasiconvexity and focuses on a specific example in the planar case. The specific example is of particular importance as it relates to an open question regarding whether rank-one convexity implies quasiconvexity in the planar case.
JOURNAL OF NONLINEAR SCIENCE
(2022)
Article
Materials Science, Multidisciplinary
Charles Dorn, Dennis M. Kochmann
Summary: This paper presents a ray theory for modeling elastic wave propagation in spatially graded mechanical metamaterials. The lack of efficient modeling techniques has limited the exploration of wave propagation in spatially graded metamaterials, despite the increased design opportunities they offer. The authors develop a ray theory based on high-frequency asymptotics and local periodicity assumption, providing a practical framework for computing approximate wave fields in graded metamaterials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Engineering, Mechanical
Vignesh Kannan, Dennis M. Kochmann
Summary: Predicting and controlling the rate-dependent electro-mechanical switching in ferroelectric ceramics is challenging due to our current lack of understanding the underlying domain switching mechanisms at short time scales or high rates. This study proposes an experimental protocol to investigate the rate-dependent competition between domain nucleation, domain growth, and variant selection in barium titanate ceramics. The results reveal reduced domain switching and increased domain wall nucleation at higher electric field rates. Mechanical strain measurements indicate a difference in nucleated domain wall variants while switching anti-parallel vs. parallel to the pre-poled direction.
EXTREME MECHANICS LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Vignesh Kannan, Morgan Trassin, Dennis M. Kochmann
Summary: We experimentally studied the effect of cycling rate on polarization switching in ferroelectric ceramics and found that increasing rate reduces the polarizability of the material. We also observed differences in the rate dependence when loading parallel vs. anti-parallel to the direction of poling. Supported by a simple model and ex-situ piezoresponse force microscopy, we concluded that rate effects arise from the mobility of 90. domain walls and the competition between nucleation and growth of domains.
Article
Mechanics
Jan-Hendrik Bastek, Dennis M. Kochmann
Summary: Numerical modeling of thin shell structures is challenging, and various finite element method (FEM) formulations have been proposed to tackle this. This study proposes a Physics-Informed Neural Network (PINN) that utilizes machine learning to predict the small-strain response of curved shells. The PINN performs well in identifying the solution field in benchmark tests when the equations are presented in their weak form, but may fail to do so when using the strong form.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Engineering, Mechanical
Yannick Hollenweger, Dennis M. Kochmann
Summary: The deformation mode of pure magnesium transitions from compressive twin bands to pyramidal II slip with increasing temperature, suggesting that the temperature dependence is primarily governed by non-basal slip.
INTERNATIONAL JOURNAL OF PLASTICITY
(2022)
Article
Materials Science, Multidisciplinary
Yang Hu, Dennis M. Kochmann
Summary: Magnesium (Mg) alloys are important for industrial applications, but their mechanical behavior is not well understood. This study investigates the effect of alloying elements on twin embryo growth in Mg alloys using molecular dynamics simulations. It is found that most alloying elements restrict the motion of twin boundaries, except for Mg-Y, Mg-Li, and Mg-Nd. These findings provide important insights for tailoring the mechanical properties of Mg alloys.
JOURNAL OF MATERIALS SCIENCE
(2023)
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)