Journal of Elasticity最新文献_第9页

A Double Coated Circular Inhomogeneity Neutral to an Arbitrary Uniform in-Plane Stress Field 对任意均匀面内应力场中性的双涂层圆形非均匀性

IF 1.8 3区工程技术

Journal of Elasticity Pub Date : 2023-04-19 DOI: 10.1007/s10659-023-10012-1

Xu Wang, Peter Schiavone

引用次数: 0

On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation 三向三角相变中四井问题的刚性研究

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-04-18 DOI: 10.1007/s10659-023-10011-2

Angkana Rüland, Theresa M. Simon

引用次数: 1

Harmonic Decomposition, Irreducible Basis Tensors, and Minimal Representations of Material Tensors and Pseudotensors 调和分解、不可约基张量以及材料张量和伪张量的极小表示

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-04-11 DOI: 10.1007/s10659-023-10010-3

Chi-Sing Man, Wenwen Du

{"title":"Harmonic Decomposition, Irreducible Basis Tensors, and Minimal Representations of Material Tensors and Pseudotensors","authors":"Chi-Sing Man, Wenwen Du","doi":"10.1007/s10659-023-10010-3","DOIUrl":"10.1007/s10659-023-10010-3","url":null,"abstract":"<div><p>We propose a general and efficient method to derive various minimal representations of material tensors or pseudotensors for crystals. By a minimal representation we mean one that pertains to a specific Cartesian coordinate system under which the number of independent components in the representation is the smallest possible. The proposed method is based on the harmonic and Cartan decompositions and, in particular, on the introduction of orthonormal irreducible basis tensors in the chosen harmonic decomposition. For crystals with non-trivial point group symmetry, we demonstrate by examples how deriving restrictions imposed by symmetry groups (e.g., <span>(C_{2})</span>, <span>(C_{s})</span>, <span>(C_{3})</span>, etc.) whose symmetry elements do not completely specify a coordinate system could possibly miss the minimal representations, and how the Cartan decomposition of SO(3)-invariant irreducible tensor spaces could lead to coordinate systems under which the representations are minimal. For triclinic materials, and for material tensors and pseudotensors which observe a sufficient condition given herein, we describe a procedure to obtain a coordinate system under which the explicit minimal representation has its number of independent components reduced by three as compared with the representation with respect to an arbitrary coordinate system.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"3 - 41"},"PeriodicalIF":2.0,"publicationDate":"2023-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49535117","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

Gels: Energetics, Singularities, and Cavitation 凝胶:能量学、奇点和空化

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-21 DOI: 10.1007/s10659-023-10000-5

M. Calderer, Duvan Henao, Manuel A. Sánchez, Ronald A. Siegel, Si-Mon Song

引用次数: 0

A Variational Derivation of Stoney-Like Formulas for Self-Stressed Bilayered Plates 自应力双层板类石头公式的变分推导

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-21 DOI: 10.1007/s10659-023-10009-w

A. DiCarlo, R. Paroni, R. Rizzoni

引用次数: 0

Stable Möbius Bands from Isometrically Deformed Circular Helicoids 等距变形圆螺旋体的稳定Möbius带

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-21 DOI: 10.1007/s10659-023-10008-x

V. Chaurasia, Eliot Fried

引用次数: 0

A New Drucker Yield Function for Orthorhombic Aggregates of Cubic Crystallites 立方晶正交聚集体的新Drucker屈服函数

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-21 DOI: 10.1007/s10659-023-10007-y

Mojia Huang, Fengying Xiao, Zhiwen Lan

引用次数: 0

Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited 压电介质中Bleustein-Gulyaev波的摄动:对Barnett和Lothe积分形式的再考察

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-17 DOI: 10.1007/s10659-023-10005-0

Kazumi Tanuma, Xiang Xu, Gen Nakamura

{"title":"Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited","authors":"Kazumi Tanuma, Xiang Xu, Gen Nakamura","doi":"10.1007/s10659-023-10005-0","DOIUrl":"10.1007/s10659-023-10005-0","url":null,"abstract":"<div><p>This paper studies surface waves called Bleustein–Gulyaev (BG) waves in piezoelectricity. They propagate along the surface of a homogeneous piezoelectric half-space whose constituent material has <span>(C_{6})</span> hexagonal symmetry, where the surface is subject to the mechanically-free and electrically-closed condition. We revisit the Barnett–Lothe integral formalism for general piezoelectricity and give straightforward proofs, which only use the positive definiteness of the elasticity tensor and of the dielectric tensor, to derive fundamental properties of the Barnett–Lothe tensors. This leads us to obtain a criterion for the existence of subsonic surface waves. Moreover, when the waves propagate in the direction of the 1-axis along the surface of the piezoelectric half-space <span>(x_{2}le0)</span> of <span>(C_{6})</span> hexagonal symmetry whose 6-fold axis of rotational symmetry coincides with the 3-axis, we compute explicitly the phase velocity of the BG waves and investigate its perturbation, i.e., the shift in the velocity due to a perturbation of the material constants which need not have any symmetry.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"153 3","pages":"423 - 453"},"PeriodicalIF":2.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4982926","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

Swelling Induced Twist in Hyperelastic Tubes Due to Spiral Patterned Biasing Fibers in the Cross Section 截面螺旋形偏置纤维在超弹性管中引起的膨胀诱导扭转

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-15 DOI: 10.1007/s10659-023-09999-4

Hasan Demirkoparan, Thomas J. Pence

{"title":"Swelling Induced Twist in Hyperelastic Tubes Due to Spiral Patterned Biasing Fibers in the Cross Section","authors":"Hasan Demirkoparan, Thomas J. Pence","doi":"10.1007/s10659-023-09999-4","DOIUrl":"10.1007/s10659-023-09999-4","url":null,"abstract":"<div><p>Simple fiber reinforcing patterns can serve to guide deformations in specialized ways if the material experiences expansion due to some sort of swelling phenomenon. This occurs even when the only activation is via the material swelling itself; the fibers being a passive hyperelastic material embedded in a swellable hyperelastic matrix. Using anisotropic hyperelasticity where the usual incompressibility constraint is generalized to model swelling, we consider such fiber guided deformation in the context of a circular cylinder subject to uniform swelling. The material is taken to be transversely isotropic with a fiber pattern corresponding to helical spirals in each cross section. This paper extends previous work which had examined a traction free outer radius that expanded while the inner radius was held fixed. Because of the spiral pattern, the tube in these previous studies exhibited increasing twist as the swelling proceeded. The problem considered here takes both inner and outer radius as free surfaces, thus causing the amount of radial expansion itself to be unknown. It is found that the spiral fiber pattern again induces a twist, and that this pattern also influences the nature of the radial expansion.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"154 1-4","pages":"213 - 234"},"PeriodicalIF":2.0,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44563223","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 Algebraic Riccati Equations of Finite Elastostatics 有限弹性力学的代数Riccati方程

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-03-15 DOI: 10.1007/s10659-023-10002-3

Gearoid Mac Sithigh

引用次数: 0