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Rayleigh-Type Waves in Nonlocal Micropolar Thermoelastic Half-Space Containing Void Pores 包含空隙的非局部微波热弹性半空间中的瑞利波
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-07-05 DOI: 10.1007/s10659-024-10079-4
Suraj Kumar, S. K. Tomar
{"title":"Rayleigh-Type Waves in Nonlocal Micropolar Thermoelastic Half-Space Containing Void Pores","authors":"Suraj Kumar,&nbsp;S. K. Tomar","doi":"10.1007/s10659-024-10079-4","DOIUrl":"10.1007/s10659-024-10079-4","url":null,"abstract":"<div><p>Propagation of Rayleigh-type waves is investigated in a half-space composed of nonlocal micropolar thermoelastic material containing void pores. Dispersion relation is derived for a mechanically stress-free and thermally insulated boundary surface of the half-space. The particle motion during the propagation of the waves is found to follow elliptical path. Numerical computations for a specific material are performed to analyze the characteristics of propagating Rayleigh-type waves in detail. Comparison between the phase speed and corresponding attenuation coefficient in some particular cases is also carried out. The effect of various parameters on the characteristics of waves in question is also studied.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"877 - 898"},"PeriodicalIF":1.8,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141552550","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
On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions 关于带有位移边界条件的立方到四方相变的规模问题
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-07-02 DOI: 10.1007/s10659-024-10075-8
Angkana Rüland, Antonio Tribuzio
{"title":"On the Scaling of the Cubic-to-Tetragonal Phase Transformation with Displacement Boundary Conditions","authors":"Angkana Rüland,&nbsp;Antonio Tribuzio","doi":"10.1007/s10659-024-10075-8","DOIUrl":"10.1007/s10659-024-10075-8","url":null,"abstract":"<div><p>We provide (upper and lower) scaling bounds for a singular perturbation model for the cubic-to-tetragonal phase transformation with (partial) displacement boundary data. We illustrate that the <i>order of lamination</i> of the affine displacement data determines the complexity of the microstructure. As in (Rüland and Tribuzio in ESAIM Control Optim. Calc. Var. 29:68, 2023) we heavily exploit careful Fourier space localization methods in distinguishing between the different lamination orders in the data.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"837 - 875"},"PeriodicalIF":1.8,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-024-10075-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141514280","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
Elastodynamics of Multilattices: Field Equations of the Linear Theory as a First Order System 多网格的弹性力学：作为一阶系统的线性理论场方程
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-06-27 DOI: 10.1007/s10659-024-10076-7
D. Sfyris, G. I. Sfyris
{"title":"Elastodynamics of Multilattices: Field Equations of the Linear Theory as a First Order System","authors":"D. Sfyris,&nbsp;G. I. Sfyris","doi":"10.1007/s10659-024-10076-7","DOIUrl":"10.1007/s10659-024-10076-7","url":null,"abstract":"<div><p>For a one dimensional 2-lattice we write down the momentum equation and the equation ruling the shift vector for the dynamic case as a first order system and characterize it in terms of its hyperbolicity. We use similar arguments for problems of increasing difficulty and tackle: one dimensional 3-lattices, three dimensional 2-lattices, three dimensional 3-lattices and finally the most general case of three dimensional <span>((n+1))</span>-lattices. Our approach is confined to the geometrically and materially linear elastodynamic theory and is valid for generic anisotropic materials that have the multilattice structure. The main finding is that, with the assumptions adopted, the presence of each shift vector is related with zero eigenvalues when the system is written as a first order system.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"813 - 835"},"PeriodicalIF":1.8,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503945","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
Elastic Solids with Strain-Gradient Elastic Boundary Surfaces 具有应变梯度弹性边界面的弹性固体
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-06-14 DOI: 10.1007/s10659-024-10073-w
C. Rodriguez
{"title":"Elastic Solids with Strain-Gradient Elastic Boundary Surfaces","authors":"C. Rodriguez","doi":"10.1007/s10659-024-10073-w","DOIUrl":"10.1007/s10659-024-10073-w","url":null,"abstract":"<div><p>Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded stresses and strains at the crack tips for plane-strain problems. However, singularities persist for anti-plane shear (mode-III fracture) under far-field loading, even when Steigmann-Ogden surface elasticity is incorporated. This work is motivated by obtaining a model of brittle fracture capable of predicting bounded stresses and strains for all modes of loading. We formulate an exact general theory of a three-dimensional solid containing a boundary surface with strain-gradient surface elasticity. For planar reference surfaces parameterized by flat coordinates, the form of surface elasticity reduces to that introduced by Hilgers and Pipkin, and when the surface energy is independent of the surface covariant derivative of the stretching, the theory reduces to that of Steigmann and Ogden. We discuss material symmetry using Murdoch and Cohen’s extension of Noll’s theory. We present a model small-strain surface energy that incorporates resistance to geodesic distortion, satisfies strong ellipticity, and requires the same material constants found in the Steigmann-Ogden theory. Finally, we derive and apply the linearized theory to mode-III fracture in an infinite plate under far-field loading. We prove that there always exists a unique classical solution to the governing integro-differential equation, and in contrast to using Steigmann-Ogden surface elasticity, our model is consistent with the linearization assumption in predicting finite stresses and strains at the crack tips.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"769 - 797"},"PeriodicalIF":1.8,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503946","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
An Elliptical Incompressible Liquid Inclusion in a Compressible Hyperelastic Solid of Harmonic Type 谐波型可压缩超弹性固体中的椭圆形不可压缩液体包涵体
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-06-14 DOI: 10.1007/s10659-024-10074-9
Xu Wang, Peter Schiavone
{"title":"An Elliptical Incompressible Liquid Inclusion in a Compressible Hyperelastic Solid of Harmonic Type","authors":"Xu Wang,&nbsp;Peter Schiavone","doi":"10.1007/s10659-024-10074-9","DOIUrl":"10.1007/s10659-024-10074-9","url":null,"abstract":"<div><p>A complete closed-form solution is derived to the finite plane elasticity problem associated with an elliptical incompressible liquid inclusion embedded in an infinite compressible hyperelastic matrix of harmonic type subjected to uniform remote in-plane Piola stresses. The internal uniform hydrostatic Piola stresses and deformation gradients within the elliptical incompressible liquid inclusion are obtained. The internal uniform hydrostatic tension and hoop stress on the matrix side along the liquid-solid interface for various shapes of the elliptical liquid inclusion and different elastic constants of the matrix under various remote loadings are calculated.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"799 - 811"},"PeriodicalIF":1.8,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141341738","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
Homogenization of a Soft Elastic or Perfectly Viscoplastic Material Reinforced by Fibers 纤维增强软弹性或完美粘塑性材料的均质化
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-05-20 DOI: 10.1007/s10659-024-10070-z
Michel Bellieud
{"title":"Homogenization of a Soft Elastic or Perfectly Viscoplastic Material Reinforced by Fibers","authors":"Michel Bellieud","doi":"10.1007/s10659-024-10070-z","DOIUrl":"10.1007/s10659-024-10070-z","url":null,"abstract":"<div><p>We study the effective properties of a linear elastic or perfectly viscoplastic composite consisting of a soft matrix reinforced by possibly very stiff fibers. The effective material is characterized by the emergence of a discrepancy between the displacement in the fibers and the overall averaged displacement, giving rise to a concentration strain in the matrix. The effective energy stored in the fibers is a combination of stretching, bending and torsional energies. This work completes and corrects results previously obtained by the author and coworkers, who failed to notice the torsional contribution.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"739 - 767"},"PeriodicalIF":1.8,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141123036","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
Induced Stress Fields in Isotropic Elastic Discs Due to Contact Shear Stresses and Their Implications for Brazilian Test Strength Characterization 接触剪应力在各向同性弹性圆盘中引起的应力场及其对巴西试验强度表征的影响
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-05-17 DOI: 10.1007/s10659-024-10072-x
Diego-José Guerrero-Miguel, María-Belén Prendes-Gero, Martina-Inmaculada Álvarez-Fernández, Celestino González-Nicieza
{"title":"Induced Stress Fields in Isotropic Elastic Discs Due to Contact Shear Stresses and Their Implications for Brazilian Test Strength Characterization","authors":"Diego-José Guerrero-Miguel,&nbsp;María-Belén Prendes-Gero,&nbsp;Martina-Inmaculada Álvarez-Fernández,&nbsp;Celestino González-Nicieza","doi":"10.1007/s10659-024-10072-x","DOIUrl":"10.1007/s10659-024-10072-x","url":null,"abstract":"<div><p>Tensile strength characterization of brittle materials by means of uniaxial tensile tests is often unfeasible, as most samples form chips during specimen preparation, leading to unacceptable geometric deviations. For this reason, the disc specimens used in Brazilian tests to determine indirect tensile strength are preferred. Despite its influence on the induced stress field and the location of the failure initiation point, the actual stress distribution along the contact is still under debate. In the present work, the complex variable method is used to develop a new analytical formulation based on the simplest possible shear stress distribution along the disc boundary that fulfils elastic equilibrium. Based on this formulation, an integration method is used to obtain the stress field generated inside specimens—elastic discs—that are subjected to distributed shear forces on their contact rims. An application of this method to the Brazilian test case is performed, proving that shear and frictional forces can be considered simultaneously. Furthermore, a mathematical procedure to simultaneously consider radial and shear stress distributions along the loaded boundary is developed to determine any possible stress field for relevant practical applications. The results confirm that shearing significantly increases stress in the vicinity of the contact area, which may explain the wedge failure pattern sometimes observed in real test specimens. Additionally, the proposed formulation guarantees that if failure is initiated in the centre of the specimen, the applied shear stress distribution no longer influences the indirect tensile strength of the material, although it influences the final test output if failure is initiated at any other point along the vertical diameter.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"721 - 737"},"PeriodicalIF":1.8,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140962853","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
The Elastic Properties of Dilute Solid Suspensions with Imperfectly Bonded Inclusions of Ellipsoidal Shape: Bounds, Asymptotics, Approximations 具有椭圆形不完全结合夹杂物的稀释固体悬浮液的弹性特性：边界、渐近、近似值
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-05-17 DOI: 10.1007/s10659-024-10071-y
Martín I. Idiart, Valentin Gallican
{"title":"The Elastic Properties of Dilute Solid Suspensions with Imperfectly Bonded Inclusions of Ellipsoidal Shape: Bounds, Asymptotics, Approximations","authors":"Martín I. Idiart,&nbsp;Valentin Gallican","doi":"10.1007/s10659-024-10071-y","DOIUrl":"10.1007/s10659-024-10071-y","url":null,"abstract":"<div><p>The elastic properties of dilute solid suspensions with imperfectly bonded inclusions of ellipsoidal shape are estimated. The imperfect bonding is regarded as a sharp interface across which the displacement jumps in proportion to the surface traction. Elastic compliances of the matrix and inclusion phases can exhibit arbitrary anisotropy while that of the bonding exhibits an anisotropy that depends on the interface normal only. A variational framework is employed to generate pairs of elementary bounds, asymptotically exact results, and approximations for the effective elasticity tensor. Each member of the pair differs in the way the bonding compliance is averaged over the interfacial surface: an ‘arithmetic’ mean in one case and a ‘harmonic’ mean in the other case. The results are used to infer the most convenient approximation for a given range of material parameters.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"701 - 719"},"PeriodicalIF":1.8,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140965068","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
An Analytic Element Model for Seepage Forces in Fractured Media 断裂介质渗流力分析要素模型
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-05-09 DOI: 10.1007/s10659-024-10069-6
Erik A. L. Toller, Otto D. L. Strack
{"title":"An Analytic Element Model for Seepage Forces in Fractured Media","authors":"Erik A. L. Toller,&nbsp;Otto D. L. Strack","doi":"10.1007/s10659-024-10069-6","DOIUrl":"10.1007/s10659-024-10069-6","url":null,"abstract":"<div><p>There are many situations where groundwater flow has high flow rates, causing large seepage forces. Examples are flows around highly conductive fractures and tunnels. We present a new analytic element for a tunnel in an elastic medium. We combined the analytic element method for groundwater flow with that for linear elasticity, and include the seepage force as a body force in the linearly elastic model. We represent tunnels and fractures as analytic elements. The solution for the case considered is limited to steady state flow and fluid-to-solid coupling. We present examples of the computed seepage forces around a tunnel and a fracture as well as a comparison with another numerical model.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"681 - 699"},"PeriodicalIF":1.8,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-024-10069-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140941187","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
Anisotropic Elastic Strain-Gradient Continuum from the Macro-Scale to the Granular Micro-Scale 从宏观尺度到粒状微观尺度的各向异性弹性应变-梯度连续介质
IF 1.8 3区 工程技术
Journal of Elasticity Pub Date : 2024-04-05 DOI: 10.1007/s10659-024-10063-y
P. Pirmoradi, A. S. J. Suiker, P. Poorsolhjouy
{"title":"Anisotropic Elastic Strain-Gradient Continuum from the Macro-Scale to the Granular Micro-Scale","authors":"P. Pirmoradi,&nbsp;A. S. J. Suiker,&nbsp;P. Poorsolhjouy","doi":"10.1007/s10659-024-10063-y","DOIUrl":"10.1007/s10659-024-10063-y","url":null,"abstract":"<div><p>A multi-scale framework is constructed for the computation of the stiffness tensors of an elastic strain-gradient continuum endowed with an anisotropic microstructure of arbitrarily-shaped particles. The influence of microstructural features on the macroscopic stiffness tensors is demonstrated by comparing the fourth-order, fifth-order and sixth-order stiffness tensors obtained from macro-scale symmetry considerations to the stiffness tensors deduced from homogenizing the elastic response of the granular microstructure. Special attention is paid to systematically relating the particle properties to the probability density function describing their directional distribution, which allows to explicitly connect the level of anisotropy of the particle assembly to local variations in particle stiffness and morphology. The applicability of the multi-scale framework is exemplified by computing the stiffness tensors for various anisotropic granular media composed of equal-sized spheres. The number of independent coefficients of the homogenized stiffness tensors appears to be determined by the number of independent microstructural parameters, which is equal to, or less than, the number of independent stiffness coefficients following from macro-scale symmetry considerations. Since the modelling framework has a general character, it can be applied to different higher-order granular continua and arbitrary types of material anisotropy.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 3","pages":"647 - 680"},"PeriodicalIF":1.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-024-10063-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600044","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
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