Journal of Elasticity最新文献

Unveiling Inhenrent Feature of Peridynamics: The “Trade-off Balance” Law Between Material Symmetry and Poisson’s Ratio

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-28 DOI: 10.1007/s10659-025-10125-9

Yuqi Sun, Haitao Yu

{"title":"Unveiling Inhenrent Feature of Peridynamics: The “Trade-off Balance” Law Between Material Symmetry and Poisson’s Ratio","authors":"Yuqi Sun, Haitao Yu","doi":"10.1007/s10659-025-10125-9","DOIUrl":"10.1007/s10659-025-10125-9","url":null,"abstract":"<div><p>The material correspondence formulation plays an essential role in connecting the Classical Continuum Mechanics and Peridynamics. In this paper, we analyze the material correspondence formulation in both the generalized two-parameter bond-based and state-based Peridynamics with a particular emphasis on the material symmetry principles. We discover a “trade-off balance” law between material symmetry and Poisson’s ratio in Peridynamics. Specifically, in the generalized two-parameter bond-based Peridynamics, the Poisson’s ratio limitation is eliminated, but the symmetry of the homogenized fourth-order material tensor in this model differs from that in Classical Continuum Mechanics. This asymmetry in the material tensor leads to energy incompatibility between the bond-based Peridynamics and Classical Continuum Mechanics. Furthermore, it can be proved that this incompatible energy has an upper bound and approaches zero as the characteristic length of the non-local interaction domain vanishes. In the case of the state-based Peridynamics, the symmetry of material tensors aligns with Classical Continuum Mechanics. However, the material correspondence formulation imposes a lower bound constraint on the Poisson’s ratio for the state-based Peridynamics. Inspired by this ‘trade-off balance’ law in Peridynamics, we propose a novel continuum model that maintains symmetry consistency. The proposed model integrates local and non-local energy into a single energy functional. By employing the Hamilton’s variational principle, we derive the governing equations with exact force boundary conditions. Unlike Peridynamics, the proposed model exerts the force boundary on the outer surface of the solids. We demonstrate that the proposed model is asymptotically compatible with Classical Continuum Mechanics. Wave dispersion analysis shows that the proposed model does not exhibit zero-energy mode oscillations.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Fusion of Nonlinear Elasticity with Galilean Electromagnetism 非线性弹性与伽利略电磁学的融合

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-28 DOI: 10.1007/s10659-025-10124-w

Chi-Sing Man

引用次数: 0

Generalized Solutions in Isotropic and Anisotropic Elastostatics

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-28 DOI: 10.1007/s10659-025-10123-x

D. Labropoulou, P. Vafeas, D. M. Manias, G. Dassios

{"title":"Generalized Solutions in Isotropic and Anisotropic Elastostatics","authors":"D. Labropoulou, P. Vafeas, D. M. Manias, G. Dassios","doi":"10.1007/s10659-025-10123-x","DOIUrl":"10.1007/s10659-025-10123-x","url":null,"abstract":"<div><p>Linear elasticity comprises the fundamental branch of continuum mechanics that is extensively used in modern structural analysis and engineering design. In view of this concept, the displacement field provides a measure of how solid materials deform and become internally stressed due to prescribed loading conditions, a fact which is associated with linear relationships between the components of strain and stress, respectively. The mathematical characteristics of these dyadic fields are combined within the Hooke’s law via the stiffness tetratic tensor, which embodies either the isotropic or the anisotropic behavior, exhibited by materials with linear properties. In fact, Hooke’s law is incorporated into the general law of Newton that actually defines the principal spatial and temporal second-order non-homogeneous partial differential equation for the displacement. In this study, we construct handy closed-form solutions for Newton’s law in the Cartesian regime, implying time-independence and considering the case of absence of body forces. Towards this direction, our aim is twofold, in the sense that an efficient analytical technique is introduced that generates homogeneous polynomial solutions of the displacement field for both the typical isotropic and the cubic-type anisotropic structure in the invariant Cartesian geometry. The reliability of the presented methodology is verified by reducing the results for each polynomial degree from the anisotropic to the isotropic eigenspace, in terms of a simple transformation, while we demonstrate our theory with an important application, wherein the effect of a prescribed force on an isotropic half-space to the neighboring half-space of cubic anisotropy is examined.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Isotropic Elastic Deformations: On a Comprehensive Model to Correlate the Theory and Experiments for Compressible Rubber-Like Materials

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-26 DOI: 10.1007/s10659-025-10122-y

Afshin Anssari-Benam, Giuseppe Saccomandi

{"title":"Large Isotropic Elastic Deformations: On a Comprehensive Model to Correlate the Theory and Experiments for Compressible Rubber-Like Materials","authors":"Afshin Anssari-Benam, Giuseppe Saccomandi","doi":"10.1007/s10659-025-10122-y","DOIUrl":"10.1007/s10659-025-10122-y","url":null,"abstract":"<div><p>The <i>comprehensive</i> incompressible strain energy function devised in a preceding contribution (J. Elast. 153:219–244, 2023) is extended in this work for application to the finite deformation of isotropic <i>compressible</i> rubber-like materials. Based on the two established approaches in the literature for constructing a compressible strain energy function <span>(W)</span> from the incompressible counterpart, two models are developed and presented: one model is developed on using a <span>(Jleft (= lambda _{1} thinspace lambda _{2} thinspace lambda _{3} right ))</span> term added to the general functional form of the incompressible model; and the second model on using the isochoric, or modified, principal stretches <span>(left (bar{lambda }_{a}right ))</span>, <span>(a = 1,2,3)</span>, in the functional form of the incompressible model, to account for the deviatoric contribution <span>(W_{dev})</span>. The volumetric input <span>(W_{vol})</span> is considred as an additive part. Each model is then simultaneously fitted to extant multi-axial experimental datasets, and the favourable correlation between the models’ predictions and the experimental data is demonstrated. Exemplar challenging individual datasets including a shear-softening behaviour exhibited by an elastomeric foam are also considered, whereby the excellent predictions of the said behaviours by the models will be illustrated. The compatibility of both models with the kinematics of slight compressibility will also be discussed and presented.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10122-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pathological Growth-Induced Helical Buckling of Blood Vessels

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-25 DOI: 10.1007/s10659-025-10121-z

Tian-Ze Gui, Sifan Yin, Bo Li, Xi-Qiao Feng

{"title":"Pathological Growth-Induced Helical Buckling of Blood Vessels","authors":"Tian-Ze Gui, Sifan Yin, Bo Li, Xi-Qiao Feng","doi":"10.1007/s10659-025-10121-z","DOIUrl":"10.1007/s10659-025-10121-z","url":null,"abstract":"<div><p>Helical vessels are widely observed in many pathological tissues, such as solid tumors, healing wounds, and varicose veins. However, it remains yet unclear how originally healthy and straight vessels transit to helical shapes. Here, we combine theoretical analysis and numerical simulations to investigate the helical buckling of growing vessels embedded in matrix. Based on linear stability analysis, we predict the critical growth strain that induces three-dimensional (3D) helical and two-dimensional (2D) sinusoidal buckling of vessels. This critical growth strain is regulated by the geometry of the vessel and the modulus ratio between the vessel and the matrix. A phase diagram is established to reveal the dependence of helical and sinusoidal modes on the vessel thickness and modulus ratio. Finite element simulations are performed to validate the theoretical prediction of the critical growth strain and further track the postbuckling evolution of growing vessels. The pitch of helix and the long and short axis of projected cross-section of vessels are characterized with increasing growth strain. Our findings elucidate the mechanism underlying abnormal formation of helical vessels, in consistency with the observations in tumors and varicose veins. This study could also inspire mechanics-based technologies for diseases diagnosis.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 2","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Cell-Level Modelling of Homeostasis in Confined Epithelial Monolayers

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-24 DOI: 10.1007/s10659-025-10120-0

KVS Chaithanya, Jan Rozman, Andrej Košmrlj, Rastko Sknepnek

引用次数: 0

Non-local Fractional Thermoviscoelastic Bending Analysis of Non-simple Nanobeam Under Ramp-Type Heating

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-12 DOI: 10.1007/s10659-025-10119-7

Gulshan Makkad, Lalsingh Khalsa, Anand Kumar Yadav, Vinod Varghese

{"title":"Non-local Fractional Thermoviscoelastic Bending Analysis of Non-simple Nanobeam Under Ramp-Type Heating","authors":"Gulshan Makkad, Lalsingh Khalsa, Anand Kumar Yadav, Vinod Varghese","doi":"10.1007/s10659-025-10119-7","DOIUrl":"10.1007/s10659-025-10119-7","url":null,"abstract":"<div><p>In this paper, a novel non-local thermoviscoelasticity model incorporates non-Fourier effects within a fractional calculus framework. It focuses on the thermal impact on a non-simple nanobeam subjected to ramp-type heat loading. The study investigates the thermoelastic behavior of a viscoelastic nanoscale rectangular beam based on the non-local Euler-Bernoulli beam theory (EBBT) under thermal heating conditions. This paper uses integral transformation methods to derive closed-form solutions for temperature, bending moments, deflection, and thermal stress. These solutions are initially formulated in the Laplace domain and then converted into the time domain using the Gaver-Stehfest algorithm. Numerical results for silicon nitride are analyzed and graphically visualized with Mathematica software. The study examines the effects of relaxation time, ramping time parameters, and fractional order parameters across various fields, comparing the findings with previously published literature. This research highlights the complex interplay between thermal and mechanical responses in nanobeams and provides new insights into the behavior of viscoelastic materials under non-local and fractional thermoelastic conditions.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 1","pages":""},"PeriodicalIF":1.8,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143396532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Structural Analysis of Phononic Crystals and Propagation of Elastic Waves in Cubic Solids in Fractal Dimensions

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-11 DOI: 10.1007/s10659-025-10117-9

Rami Ahmad El-Nabulsi, Waranont Anukool

引用次数: 0

Nonlinear Relations of Viscous Stress and Strain Rate in Nonlinear Viscoelasticity

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2025-02-10 DOI: 10.1007/s10659-025-10118-8

Lennart Machill

引用次数: 0

Small Deformation Plane Strain Pure Bending of a Sector of a Circular Tube of an Incompressible 3D Cosserat Material