Mathematics and Mechanics of Solids最新文献_第6页

On the role of the invariant “I4” in conventional couple-stress hyperelasticity 论不变式 "I4 "在传统耦合应力超弹性中的作用

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-03-08 DOI: 10.1177/10812865241236861

Kostas P Soldatos

引用次数: 0

ResUNet involved generative adversarial network-based topology optimization for design of 2D microstructure with extreme material properties ResUNet 基于生成式对抗网络的拓扑优化技术用于设计具有极端材料特性的二维微结构

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-03-08 DOI: 10.1177/10812865241233013

Jicheng Li, Hongling Ye, Nan Wei, Xingyu Zhang

{"title":"ResUNet involved generative adversarial network-based topology optimization for design of 2D microstructure with extreme material properties","authors":"Jicheng Li, Hongling Ye, Nan Wei, Xingyu Zhang","doi":"10.1177/10812865241233013","DOIUrl":"https://doi.org/10.1177/10812865241233013","url":null,"abstract":"Topology optimization is one of the most common methods for design of material distribution in mechanical metamaterials, but resulting in expensive computational cost due to iterative simulation of finite element method. In this work, a novel deep learning-based topology optimization method is proposed to design mechanical microstructure efficiently for metamaterials with extreme material properties, such as maximum bulk modulus, maximum shear modulus, or negative Poisson’s ratio. Large numbers of microstructures with various configurations are first simulated by modified solid isotropic material with penalization (SIMP), to construct the microstructure data set. Subsequently, the ResUNet involved generative and adversarial network (ResUNet-GAN) is developed for high-dimensional mapping between optimization parameters and corresponding microstructures to improve the design accuracy of ResUNet. By given optimization parameters, the well-trained ResUNet-GAN is successfully applied to the microstructure design of metamaterials with different optimization objectives under proper configurations. According to the simulation results, the proposed ResUNet-GAN-based topology optimization not only significantly reduces the computational duration for the optimization process, but also improves the structure precise and mechanical performance.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"12 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140070912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A new model for spatial rods incorporating surface energy effects 包含表面能效应的空间棒新模型

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-03-05 DOI: 10.1177/10812865231225769

Gongye Zhang, Xin-Lin Gao, Ziwen Guo

{"title":"A new model for spatial rods incorporating surface energy effects","authors":"Gongye Zhang, Xin-Lin Gao, Ziwen Guo","doi":"10.1177/10812865231225769","DOIUrl":"https://doi.org/10.1177/10812865231225769","url":null,"abstract":"A new non-classical model for spatial rods incorporating surface energy effects is developed using a surface elasticity theory. A variational formulation based on the principle of minimum total potential energy is employed, which leads to the simultaneous determination of the equilibrium equations and complete boundary conditions. The newly developed spatial rod model contains three surface elasticity constants to account for surface energy effects. The new model recovers the classical elasticity-based Kirchhoff rod model as a special case when the surface energy effects are not considered. To illustrate the new spatial rod model, two sample problems are analytically solved by directly applying the general formulas derived. The first one is the buckling of an elastic rod of circular cross-section with fixed-pinned supports, and the other is the equilibrium analysis of a helical rod deformed from a straight rod. An analytical formula is derived for the critical buckling load required to perturb the axially compressed straight rod, and two closed-form expressions are obtained for the force and couple needed in deforming the helical rod. These formulas reduce to those based on classical elasticity when the surface energy effects are suppressed. For the buckling problem, it is found that the critical buckling load predicted by the current new model is always higher than that given by the classical elasticity-based model, and the difference between the two sets of predicted values is significantly large when the radius of the rod is sufficiently small but diminishes as the rod radius increases. For the helical rod problem, the numerical results reveal that the force and couple predicted by the current model are, respectively, significantly larger and smaller than those predicted by the classical model when the rod radius is very small, but the difference is diminishing with the increase of the rod radius.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"270 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140045047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective 研究无血管肿瘤生长动态：变阶非局部建模视角

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-28 DOI: 10.1177/10812865241230269

Mariam Mubarak Almudarra, Ariel Ramírez-Torres

{"title":"Examining avascular tumour growth dynamics: A variable-order non-local modelling perspective","authors":"Mariam Mubarak Almudarra, Ariel Ramírez-Torres","doi":"10.1177/10812865241230269","DOIUrl":"https://doi.org/10.1177/10812865241230269","url":null,"abstract":"This study investigates the growth of an avascular tumour described through the interchange of mass among its constituents and the production of inelastic distortions induced by growth itself. A key contribution of this research examines the role of non-local diffusion arising from the complex and heterogeneous tumour micro-environment. In our context, the non-local diffusion is enhanced by a variable-order fractional operator that incorporates crucial information about regions of limited nutrient availability within the tissue. Our research also focuses on the identification of an evolution law for the growth-induced inelastic distortions recast through the identification of non-conventional forces dual to suitable kinematic descriptors associated with the growth tensor. The establishment of such evolution law stems from examining the dissipation inequality and subsequently determining a posteriori connections between the inelastic distortions and the source/sink terms in the mass balance laws. To gain insights into the dynamics of tumour growth and its response to the proposed modelling framework, we first study how the variables governing the tissue evolution are affected by the introduction of the new growth law. Second, we investigate how regions of limited diffusion within the tumour, encoded into a fractional operator of variable-order, influence its growth.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"135 1 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140006869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Large deformation of soft dielectric cylindrical tubes under external radial electric field 软介质圆柱管在外径向电场作用下的大变形

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-26 DOI: 10.1177/10812865241231208

Pietro Liguori, Massimiliano Gei

引用次数: 0

Towards automated image-based cohesive zone modeling of cracking in irregular masonry 基于图像的不规则砌体裂缝内聚区自动建模

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-19 DOI: 10.1177/10812865241228825

Karim Ehab Moustafa Kamel, Thierry J Massart

{"title":"Towards automated image-based cohesive zone modeling of cracking in irregular masonry","authors":"Karim Ehab Moustafa Kamel, Thierry J Massart","doi":"10.1177/10812865241228825","DOIUrl":"https://doi.org/10.1177/10812865241228825","url":null,"abstract":"The models developed for masonry and historical structures in the literature are usually classified into macromodels considering masonry as an equivalent continuum; and micromodels in which brick, blocks, or stones and mortar joints are represented explicitly. In this second category, many contributions dealt with regular bond masonry for which the geometrical description and the discretization are rather straightforward. For irregular masonry structures however, even though both finite element method (FEM) and discrete element method (DEM) approaches have been developed, obtaining a versatile geometry representation and its discretization remains much less straightforward. This becomes an important issue nowadays with the availability of image acquisition techniques, based on which computational models could be derived. The present contribution proposes an automated methodology to produce a line description of the mortar joints of an irregular masonry blocks/stones and mortar assembly, which can subsequently be used in modeling approaches. The starting point of the development is a generation technique based on inclusions packings which uses distance fields to the nearest neighboring inclusions to describe an assembly of blocks or stones geometrically. It is shown that such an assembly and the corresponding distance fields can be used to extract efficiently and in an automated way a line or lumped description of the corresponding mortar joint based on the concept of a medial axis. This line description can subsequently be used to define computational models. This is illustrated by the automated generation of FEM models that represent mortar joints by interface elements equipped with a cohesive law. Simulations on representative volume elements (RVEs) and on a wall are shown to illustrate the methodology that paves the way towards the image-based modeling of irregular masonry structures through the automated generation of cohesive zone-based models.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"115 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139948421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Damped Normal Compliance (DNC) and the restitution coefficient 阻尼法向顺应性（DNC）和恢复系数

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-19 DOI: 10.1177/10812865241228230

Meir Shillor, Ian Pahuja

引用次数: 0

On the incremental equations in surface elasticity 论表面弹性的增量方程

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-16 DOI: 10.1177/10812865231226183

Xiang Yu, Yibin Fu

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On self-contact and non-interpenetration of elastic rods 论弹性杆的自接触和非穿透性

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-16 DOI: 10.1177/10812865231226311

Chiara Lonati, Alfredo Marzocchi

引用次数: 0

Solution of planar elastic stress problems using stress basis functions 利用应力基函数求解平面弹性应力问题

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-02-14 DOI: 10.1177/10812865231221994

Sankalp Tiwari, Anindya Chatterjee

{"title":"Solution of planar elastic stress problems using stress basis functions","authors":"Sankalp Tiwari, Anindya Chatterjee","doi":"10.1177/10812865231221994","DOIUrl":"https://doi.org/10.1177/10812865231221994","url":null,"abstract":"The use of global displacement basis functions to solve boundary-value problems in linear elasticity is well established. No prior work uses a global stress tensor basis for such solutions. We present two such methods for solving stress problems in linear elasticity. In both methods, we split the sought stress σ into two parts, where neither part is required to satisfy strain compatibility. The first part, σ p, is any stress in equilibrium with the loading. The second part, σ h is a self-equilibrated stress field on the unloaded body. In both methods, σ h is expanded using tensor-valued global stress basis functions developed elsewhere. In the first method, the coefficients in the expansion are found by minimizing the strain energy based on the well-known complementary energy principle. For the second method, which is restricted to planar homogeneous isotropic bodies, we show that we merely need to minimize the squared L2 norm of the trace of stress. For demonstration, we solve nine stress problems involving sharp corners, multiple-connectedness, non-zero net force and/or moment on an internal hole, body force, discontinuous surface traction, material inhomogeneity, and anisotropy. The first method presents a new application of a known principle. The second method presents a hitherto unreported principle, to the best of our knowledge.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"42 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139948423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0