Journal of The Mechanics and Physics of Solids最新文献

{"title":"Analyzing flexoelectric polarization of suspended membrane by nonlinear bending theory of plate","authors":"Chunlin Song ,&nbsp;Mei Zhang ,&nbsp;Wenjie Ming ,&nbsp;Xuhui Fan ,&nbsp;Boyuan Huang ,&nbsp;Jiangyu Li","doi":"10.1016/j.jmps.2024.105898","DOIUrl":"10.1016/j.jmps.2024.105898","url":null,"abstract":"<div><div>Strain gradient breaks inversion symmetry and induces flexoelectric polarization as well as electromechanical coupling in all material systems, though the effect is usually only significant at the nanoscale. Two-dimensional (2D) materials and thin membranes thus provide an ideal platform to explore flexoelectricity, which has been widely pursued, yet quantitative theoretical analysis is needed to guide the rapid experimental developments. In this work, we develop 2D flexoelectric model for suspended membrane based on von Kármán plate theory, and implement it into finite element computation using conforming BCIZ element. Numerical results and discussions on flexoelectric polarization in suspended membrane under uniform pressure or concentrated load are presented, which are validated by piezoresponse force microscopy (PFM) experiments under a range of membrane thicknesses and loading forces showing good agreement with computations. Since large strain gradient often exists in samples with small size in one or two dimensions, the method we develop provides a powerful tool to study a wide range of low-dimensional materials and structures with flexoelectric effect.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105898"},"PeriodicalIF":5.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Least failure energy density: A comprehensive strength index to evaluate and optimize heterogeneous periodic structures","authors":"Huawei Feng,&nbsp;Peidong Lei,&nbsp;Huikai Zhang,&nbsp;Bin Liu","doi":"10.1016/j.jmps.2024.105892","DOIUrl":"10.1016/j.jmps.2024.105892","url":null,"abstract":"<div><div>Assessing the comprehensive strength of structures under multiple loading conditions is crucial for designing microstructures. This paper proposes the use of the least failure energy density (LFED) to measure the comprehensive strength of heterogeneous periodic structures, which corresponds to the minimum energy density required to destroy a structure. To enhance the comprehensive strength of a periodic structure, the LFED can be maximized. We constructed a two-layer optimization algorithm and found that the high time consumption renders topology optimization unfeasible. We subsequently developed an approach for solving inner-layer optimization analytically and quickly so that the problem becomes a single-layer optimization. We compared the LFED of several classical structures, including plate structures, lattice structures, and TPMSs. The calculations reveal that plate structures exhibit the best performance in terms of LFED, followed by TPMSs whereas truss structures have the poorest performance. Among the three types of classical structures, the octet plate, Schwartz-D minimal surface, and octet truss structures are the best-performing types, respectively. Additionally, the LFED is combined with the BESO topology optimization method to obtain the best 2D periodical structure, a 2D curved-edge kagome structure. For optimal 3D periodical structures, rarely discussed space kagome structures (plate or lattice) are obtained with an LFED superior to that of other counterpart classical structures.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105892"},"PeriodicalIF":5.0,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Generalised invariants and pseudo-universal relationships for hyperelastic materials: A new approach to constitutive modelling","authors":"Afshin Anssari-Benam ,&nbsp;Alain Goriely ,&nbsp;Giuseppe Saccomandi","doi":"10.1016/j.jmps.2024.105883","DOIUrl":"10.1016/j.jmps.2024.105883","url":null,"abstract":"<div><div>Constitutive modelling of nonlinear isotropic elastic materials requires a general formulation of the strain–energy function in terms of invariants, or equivalently in terms of the principal stretches <span><math><mrow><mo>{</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>,</mo><msub><mrow><mi>λ</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>}</mo></mrow></math></span>. Yet, when choosing a particular form of a model, the representation in terms of either the principal invariants or stretches becomes important, since a judicious choice between one or the other can lead to a better encapsulation and interpretation of much of the behaviour of a given material. Here, we introduce a family of generalised isotropic invariants, including a member <span><math><mrow><msub><mrow><mi>J</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>=</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow><mrow><mi>α</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>2</mn></mrow><mrow><mi>α</mi></mrow></msubsup><mo>+</mo><msubsup><mrow><mi>λ</mi></mrow><mrow><mn>3</mn></mrow><mrow><mi>α</mi></mrow></msubsup></mrow></math></span>, which collapses to the classical first and second invariant of incompressible elasticity when <span><math><mi>α</mi></math></span> is 2 or -2, respectively. Then, we consider incompressible materials for which the strain–energy can be approximated by a function <span><math><mi>W</mi></math></span> that solely depends on this invariant <span><math><msub><mrow><mi>J</mi></mrow><mrow><mi>α</mi></mrow></msub></math></span>. A natural question is to find <span><math><mi>α</mi></math></span> that best captures the finite deformation of a given material. We first show that there exist pseudo-universal relationships that are independent of the choice of <span><math><mi>W</mi></math></span>, and which only depend on <span><math><mi>α</mi></math></span>. Then, on using these pseudo-universal relationships, we show that one can obtain the exponent <span><math><mi>α</mi></math></span> that best fits a given dataset before seeking a functional form for the strain–energy function <span><math><mi>W</mi></math></span>. This two-step process delivers the best model that is a function of a single invariant. We show, on using specific examples, that this procedure leads to an excellent and easy to use approximation of constitutive models.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105883"},"PeriodicalIF":5.0,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Surface matching design of carbon fiber composite honeycomb","authors":"Xingyu Wei ,&nbsp;Yihan Jiao ,&nbsp;Yan Wang ,&nbsp;Chengrui Yan ,&nbsp;Jiecai Han ,&nbsp;Jian Xiong","doi":"10.1016/j.jmps.2024.105890","DOIUrl":"10.1016/j.jmps.2024.105890","url":null,"abstract":"<div><div>Applying carbon fiber composite honeycomb in curved sandwich shells faces challenges due to the saddle-shaped bending surface in hexagon configurations and potential damage during the shape-forming process. This study analyzes the bending deformation of honeycombs by developing large deformation theoretical model for their bending surfaces. The study introduces two novel honeycomb configurations—Boomerang-shaped with a positive Poisson's ratio and Jellyfish-shaped with a negative Poisson's ratio—achieved through curved-wall design and fabrication using a modified carbon fiber composite tape winding molding process. Experimental tests, including bending deformation and shape-forming tests, measure the three-dimensional bending surfaces and mechanical responses of carbon fiber composite honeycombs. Additionally, a developed finite element model analyzes the damage states of various carbon fiber composite honeycombs during shape-forming processes. The results reveal the bending deformation of carbon fiber composite honeycombs and present damage state cloud maps to facilitate the optimal matching of objective sandwich shells with minimal scathe.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105890"},"PeriodicalIF":5.0,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear mechanics of phase-change-induced accretion","authors":"Satya Prakash Pradhan ,&nbsp;Arash Yavari","doi":"10.1016/j.jmps.2024.105888","DOIUrl":"10.1016/j.jmps.2024.105888","url":null,"abstract":"<div><div>In this paper, we formulate a continuum theory of solidification within the context of finite-strain coupled thermoelasticity. We aim to fill a gap in the existing literature, as the existing studies on solidification typically decouple the thermal problem (the classical Stefan’s problem) from the elasticity problem, and often limit themselves to linear elasticity with small strains. Treating solidification as an accretion problem, with the growth velocity correlated with the jump in the heat flux across the boundary, it presents an initial boundary-value problem (IBVP) over a domain whose boundary location is a priori unknown. This IBVP is solved numerically for the specific example of radially inward solidification in a spherical container. Several parametric studies are conducted to compare the numerical results with the rigid cases in the literature and gain insights into the role of elastic deformations in solidification.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105888"},"PeriodicalIF":5.0,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142442098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Hall effect and topological phase transition of nonlinear elastic wave metamaterials with local resonators","authors":"Tai-Lai Yang ,&nbsp;Yi-Ze Wang","doi":"10.1016/j.jmps.2024.105889","DOIUrl":"10.1016/j.jmps.2024.105889","url":null,"abstract":"<div><div>This work reports the amplitude-induced topological phase transition and Hall effect in nonlinear elastic waves metamaterials with local resonators. The multi scale method is employed to analyze nonlinear effects on the Bragg scattering and locally resonant band gaps. The amplitude-induced band inversion and topological edge states are numerically investigated. A spin Hall insulator is generated by a honeycomb lattice to show how the nonlinearity affects the frequencies of doubly degenerate states. By adjusting the nonlinear elastic wave amplitude, topological phase transition is achieved due to the intercellular and intracellular coupling. The transition from topological boundary states to bulk states is observed by increasing nonlinear elastic wave amplitude. Bidirectional and unidirectional transmissions of topological interface states with amplitude-induced properties can also be realized, which demonstrates robustness against both corners and defects. Furthermore, experiment is performed to support theoretical predictions of topological phase transition and Hall effect of nonlinear elastic wave.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105889"},"PeriodicalIF":5.0,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Energetic exhaustiveness for the direct characterization of energy forms of hyperelastic isotropic materials","authors":"Federico Oyedeji Falope ,&nbsp;Luca Lanzoni ,&nbsp;Angelo Marcello Tarantino","doi":"10.1016/j.jmps.2024.105885","DOIUrl":"10.1016/j.jmps.2024.105885","url":null,"abstract":"<div><div>It is common practice to characterize the constitutive law of a material indirectly. This takes place by fitting a specific stress component, which is given as a combination of response functions or derivatives of the energy function of the material. Yet, it is possible to characterize each energy derivative of the material directly. Not only that but, through a few well-designed tests, getting a set of well-distributed data that defines the evolution of the energy derivatives in the invariant space is attainable, but not for all tests. Here, each test is portrayed as an equilibrium path on the surfaces (or volumes) of the derivative of the energy function. In the framework of the homothetic tests of hyperelastic isotropic materials, we propose the definition of <em>energetic exhaustiveness</em>. This definition relates to the capability of a test, via its analytic formulation according to a proper set of deformation invariants, to directly provide a closed-form solution for the derivatives of the energy function. In reaching this definition and retracing the Baker–Ericksen and the empirical inequalities, an alternative form of Baker–Ericksen inequalities is presented. We demonstrate that the unequal-biaxial test alone is energetically exhaustive and that it can provide (the same and more) information on the energy compared to the uniaxial, equi-biaxial, and pure shear tests. Unequal-biaxial experiments on three rubbers are presented. The outcomes of experiments contradict the empirical inequalities and seem to suggest new hierarchical empirical inequalities. Compact and nearly exact solutions are provided to perform and design tests at a constant magnitude of distortion, thus reaching a direct and comprehensive representation of the energy.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105885"},"PeriodicalIF":5.0,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434064","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear mechanical behaviour and visco-hyperelastic constitutive description of isotropic-genesis, polydomain liquid crystal elastomers at high strain rates","authors":"Xin Wang ,&nbsp;Jiatong Han ,&nbsp;Hongtu Xu ,&nbsp;Haibo Ji ,&nbsp;Zengshen Yue ,&nbsp;Rui Zhang ,&nbsp;Bingyang Li ,&nbsp;Yan Ji ,&nbsp;Zhen Li ,&nbsp;Pengfei Wang ,&nbsp;Tian Jian Lu","doi":"10.1016/j.jmps.2024.105882","DOIUrl":"10.1016/j.jmps.2024.105882","url":null,"abstract":"<div><div>The mechanical behaviour of isotropic-genesis, polydomain liquid crystal elastomers (I-PLCEs) at various strain rates is systematically investigated via experiments, theoretical analysis, and numerical modelling. Experiments encompassing SEM (scanning electron microscope), DSC (differential scanning calorimetry), TGA (thermogravimetric analyser), quasi-static and dynamic (SHPB – split Hopkinson pressure bar) mechanical tests, as well as drop-weight impact tests, are undertaken to identify the nonlinear, large-strain, rate-dependent relationship between compressive stress and deformation of the I-PLCEs studied. Subsequently, a three-dimensional compressible visco-hyperelastic constitutive model for the material is established based on the summation of Cauchy stress components. The as-used model yields good agreement with experimental data, particularly an excellent description of the mechanical responses at high strain rates of <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>3</mn></mrow></msup><mo>∼</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>4</mn></mrow></msup></mrow></math></span> s⁻¹. The fully-calibrated constitutive model is implemented in the commercial finite element code ABAQUS via a virtual user-defined material (VUMAT) subroutine. The inhomogeneous deformation processes of the I-PLCEs, corresponding to impact by a hemispherically-tipped drop weight, which induces complex stress states, are also well described. Finally, when evaluated by two dimensionless physical parameters, the I-PLCEs demonstrate a more pronounced strain rate sensitivity in terms of dynamic strength and impact toughness compared to other commonly used materials, highlighting their superior performance in dynamic loading scenarios. The present study is helpful for the design and development of impact-resistant LCE-based materials and structures.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105882"},"PeriodicalIF":5.0,"publicationDate":"2024-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Electromechanics of stretchable hybrid response pressure sensors based on porous nanocomposites","authors":"Zheliang Wang ,&nbsp;Zhengjie Li ,&nbsp;Sungmin Sun ,&nbsp;Sangjun Kim ,&nbsp;Xianke Feng ,&nbsp;Hongyang Shi ,&nbsp;Nanshu Lu","doi":"10.1016/j.jmps.2024.105872","DOIUrl":"10.1016/j.jmps.2024.105872","url":null,"abstract":"<div><div>Stretchable pressure sensors are a key enabler of human-mimetic e-skin technology, with promising applications in soft robotics, prosthetics, biomimetics, and biosensors. Stretchable hybrid response pressure sensor (SHRPS) is an emerging type of soft pressure sensor that employs hybrid piezoresistive and piezocapacitive responses. A unique feature of SHRPS based on barely conductive porous nanocomposite (PNC) is its exceptional pressure sensitivity which trivializes its sensitivity to lateral stretch or shear. In this work, we experimentally characterize the electromechanical responses of SHRPS under various loading conditions and provide theoretical explanations through an equivalent circuit model. The capacitance and resistance of the PNC are described by a parallel mixing law and Archie’s law, respectively. Our model can reasonably predict the responses of SHRPS. Our findings reveal that SHRPS exhibits minimal sensitivity to stretch and shear because the hybrid response mechanism is activated only under compression. The effects of PNC-electrode contact impedance and fringe effects are discussed.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105872"},"PeriodicalIF":5.0,"publicationDate":"2024-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The hierarchical energy landscape of edge dislocation glide in refractory high-entropy alloys","authors":"Feng Zhao ,&nbsp;Wenbin Liu ,&nbsp;Yin Zhang ,&nbsp;Huiling Duan","doi":"10.1016/j.jmps.2024.105887","DOIUrl":"10.1016/j.jmps.2024.105887","url":null,"abstract":"<div><div>Refractory high-entropy alloys (RHEAs) are considered as potential candidates for high-temperature applications, with the glide resistance of edge dislocations being a crucial factor in determining the high-temperature strength. However, the solid-solution strengthening mechanism of edge dislocations in RHEAs is not fully understood. The existing Labusch-type models mainly focus on the long-range interaction of solute atoms with the dislocation stress field, while there is little attention paid to the short-range interaction in the dislocation core region. Here, we conduct carefully designed atomic simulations to decouple the long-range and short-range interactions in a typical RHEA, NbMoTaW. Furthermore, the total change in solute-dislocation interaction energy is decomposed, and a hierarchical energy landscape is revealed, demonstrating that the short-range interaction at the core region gains more importance in the solid-solution strengthening of edge dislocations in NbMoTaW. Then, we determine the Larkin length, which signifies the transition from size-dependent to size-independent dislocation behavior. The activation barrier extracted from the simulation with the dislocation length above the Larkin length is incorporated into the crystal plasticity model, and the high-temperature yield strength is well predicted by the strengthening from edge dislocations. Our work provides deep insight into the solid-solution strengthening mechanism in random solution solids, elucidating the importance of the local atomic configuration around the dislocation core.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"193 ","pages":"Article 105887"},"PeriodicalIF":5.0,"publicationDate":"2024-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142421749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}