Journal of Elasticity最新文献_第3页

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 2 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":"https://doi.org/10.1007/s10659-024-10067-8","url":null,"abstract":"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 particle-based materials denotes materials modeled as assemblies of particles, disregarding typical granular 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.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"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 2 3区工程技术

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

引用次数: 0

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

IF 2 3区工程技术

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

引用次数: 0

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 2 3区工程技术

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

引用次数: 0

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 2 3区工程技术

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

引用次数: 0

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 2 3区工程技术

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

{"title":"Classical Elastodynamics as a Linear Symmetric Hyperbolic System in Terms of $({mathbf{u}}_{mathbf{x}}, {mathbf{u}}_{t})$","authors":"","doi":"10.1007/s10659-024-10059-8","DOIUrl":"https://doi.org/10.1007/s10659-024-10059-8","url":null,"abstract":"<h3>Abstract</h3> 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 ( ({mathbf{u}}_{mathbf{x}}) ) and the velocity ( ({mathbf{u}}_{t}) ); 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.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"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

Simulation of 3D Wave Propagation in Thermoelastic Anisotropic Media 热弹性各向异性介质中的三维波传播模拟

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-03-25 DOI: 10.1007/s10659-024-10058-9

José M. Carcione, Enjiang Wang, Ayman N. Qadrouh, Mamdoh Alajmi, Jing Ba

{"title":"Simulation of 3D Wave Propagation in Thermoelastic Anisotropic Media","authors":"José M. Carcione, Enjiang Wang, Ayman N. Qadrouh, Mamdoh Alajmi, Jing Ba","doi":"10.1007/s10659-024-10058-9","DOIUrl":"https://doi.org/10.1007/s10659-024-10058-9","url":null,"abstract":"We develop a numerical algorithm for simulation of wave propagation in anisotropic thermoelastic media, established with a generalized Fourier law of heat conduction. The wavefield is computed by using a grid method based on the Fourier differential operator and a first-order explicit Crank-Nicolson algorithm to compute the spatial derivatives and discretize the time variable (time stepping), respectively. The model predicts four propagation modes, namely, a fast compressional or (elastic) P wave, a slow thermal P diffusion/wave (the T wave), having similar characteristics to the fast and slow P waves of poroelasticity, respectively, and two shear waves, one of them coupled to the P wave and therefore affected by the heat flow. The thermal mode is diffusive for low values of the thermal conductivity and wave-like (it behaves as a wave) for high values of this property. As in the isotropic case, three velocities define the wavefront of the fast P wave, i.e, the isothermal velocity in the uncoupled case, the adiabatic velocity at low frequencies, and a higher velocity at high frequencies. The heat (thermal) wave shows an anisotropic behavior if the thermal conductivity is anisotropic, but an elastic source does not induce anisotropy in this wave if the thermal properties are isotropic.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140300475","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

Angular Momentum in a Special Nonlinear Elastic Rod 特殊非线性弹性杆中的角动量

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-03-22 DOI: 10.1007/s10659-024-10061-0

M. B. Rubin

引用次数: 0

Plane Stress Problems for Isotropic Incompressible Hyperelastic Materials 各向同性不可压缩超弹性材料的平面应力问题

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-03-22 DOI: 10.1007/s10659-024-10057-w

C. O. Horgan, J. G. Murphy

引用次数: 0

Negative Refraction of Mixing Waves in Nonlinear Elastic Wave Metamaterials 非线性弹性波超材料中混合波的负折射

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-03-22 DOI: 10.1007/s10659-024-10060-1

Zi-Hao Miao, Yi-Ze Wang

{"title":"Negative Refraction of Mixing Waves in Nonlinear Elastic Wave Metamaterials","authors":"Zi-Hao Miao, Yi-Ze Wang","doi":"10.1007/s10659-024-10060-1","DOIUrl":"https://doi.org/10.1007/s10659-024-10060-1","url":null,"abstract":"Nonlinear effects can enrich the propagation of elastic waves in mechanical metamaterials, which makes it possible to extend classical phenomena and functions in linear systems to nonlinear ones. In this work, rather than monochromatic waves in similar linear structures, the negative refraction is realized by mixing waves which are generated in nonlinear elastic wave metamaterials. Based on the stiffness matrix and plane wave expansion methods, dispersion curves of in–plane modes resulting from the collinear and non–linear mixings of two longitudinal waves are calculated. In the frequency spectrum, two propagating modes coalesce at exceptional points due to the coupling of in–plane modes, and those points at which the refraction type changes are also exceptional ones. Two kinds of negative refraction can be found in the mixing modes near exceptional points, but each of them needs to be induced in a specific configuration. Moreover, experiments are performed to support the pure negative refraction and beam splitting of the nonlinear elastic waves. Particularly, the parallel configuration is able to separate and extract the nonlinear mode when the single–mode negative refraction occurs, which shows the possibility to design elastic wave device by the negative refraction of nonlinear mixing waves.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198001","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