Journal of Elasticity最新文献_第7页

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, María-Belén Prendes-Gero, Martina-Inmaculada Álvarez-Fernández, 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}

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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

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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

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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, A. S. J. Suiker, 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}

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Identifying Second-Gradient Continuum Models in Particle-Based Materials with Pairwise Interactions Using Acoustic Tensor Methodology 利用声张量方法识别具有成对相互作用的粒子材料中的第二梯度连续模型

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-04 DOI: 10.1007/s10659-024-10067-8

Gabriele La Valle, Christian Soize

{"title":"Identifying Second-Gradient Continuum Models in Particle-Based Materials with Pairwise Interactions Using Acoustic Tensor Methodology","authors":"Gabriele La Valle, Christian Soize","doi":"10.1007/s10659-024-10067-8","DOIUrl":"10.1007/s10659-024-10067-8","url":null,"abstract":"<div><p>This paper discusses wave propagation in unbounded particle-based materials described by a second-gradient continuum model, recently introduced by the authors, to provide an identification technique. The term <i>particle-based</i> materials denotes materials modeled as assemblies of particles, disregarding typical <i>granular</i> material properties such as contact topology, granulometry, grain sizes, and shapes. This work introduces a center-symmetric second-gradient continuum resulting from pairwise interactions. The corresponding Euler-Lagrange equations (equilibrium equations) are derived using the least action principle. This approach unveils non-classical interactions within subdomains. A novel, symmetric, and positive-definite acoustic tensor is constructed, allowing for an exploration of wave propagation through perturbation techniques. The properties of this acoustic tensor enable the extension of an identification procedure from Cauchy (classical) elasticity to the proposed second-gradient continuum model. Potential applications concern polymers, composite materials, and liquid crystals.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 2","pages":"623 - 639"},"PeriodicalIF":1.8,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600461","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

Existence and Exponential Decay for a Contact Problem Between Two Dissipative Beams 两个耗散光束之间接触问题的存在性和指数衰减

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-03 DOI: 10.1007/s10659-024-10064-x

Jaime E. Muñoz Rivera, Maria Grazia Naso

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Inner and Outer Versions of Hyper-Elasticity 超弹性的内外两个版本

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-03 DOI: 10.1007/s10659-024-10065-w

Pablo Pedregal

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Mid-Surface Scaling Invariance of Some Bending Strain Measures 某些弯曲应力测量的中表面缩放不变性

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-03 DOI: 10.1007/s10659-024-10066-9

Amit Acharya

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Complete Set of Bounds for the Technical Moduli in 3D Anisotropic Elasticity 三维各向异性弹性中技术模量的全套界限

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-03 DOI: 10.1007/s10659-024-10062-z

Paolo Vannucci

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Classical Elastodynamics as a Linear Symmetric Hyperbolic System in Terms of (({mathbf{u}}_{mathbf{x}}, {mathbf{u}}_{t})) 以 $({mathbf{u}}_{mathbf{x}}, {mathbf{u}}_{t}}$ 为条件的经典弹性力学线性对称双曲系统

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2024-04-03 DOI: 10.1007/s10659-024-10059-8

Dimitris Sfyris

{"title":"Classical Elastodynamics as a Linear Symmetric Hyperbolic System in Terms of (({mathbf{u}}_{mathbf{x}}, {mathbf{u}}_{t}))","authors":"Dimitris Sfyris","doi":"10.1007/s10659-024-10059-8","DOIUrl":"10.1007/s10659-024-10059-8","url":null,"abstract":"<div><p>Motivated from standard procedures in linear wave equations, we write the equations of classical elastodynamics as a linear symmetric hyperbolic system in terms of the displacement gradient (<span>({mathbf{u}}_{mathbf{x}})</span>) and the velocity (<span>({mathbf{u}}_{t})</span>); this is in contrast with common practice, where the stress tensor and the velocity are used as the basic variables. We accomplish our goal by a judicious use of the compatibility equations. The approach using the stress tensor and the velocity requires use of the time differentiated constitutive law as a field equation; the present approach is devoid of this need. The symmetric form presented here is based on a Cartesian decomposition of the variables and the differential operators that does not alter the Hamiltonian structure of classical elastodynamics. We comment on the differences of our approach with that using the stress tensor in terms of the differentiability of the coefficients and the differentiability of the solution. Our analysis is confined to classical elastodynamics, namely geometrically and materially linear anisotropic elasticity which we treat as a linear theory per se and not as the linearization of the nonlinear theory. We, nevertheless, comment on the symmetrization processes of the nonlinear theories and the potential relation of them with the present approach.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"156 2","pages":"525 - 548"},"PeriodicalIF":1.8,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600243","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