• J. Elast. (IF 1.906) Pub Date : 2020-05-29
M. Olive, B. Desmorat, B. Kolev, R. Desmorat

We formulate necessary and sufficient conditions for a unit vector $$\pmb{\nu }$$ to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions consist of two polynomial equations of degree lower than four in the components of $$\pmb{\nu }$$. Compared to Cowin–Mehrabadi conditions, this is an improvement, since these equations involve only the normal vector

更新日期：2020-05-29
• J. Elast. (IF 1.906) Pub Date : 2020-05-29
Elena Bonetti, Giovanna Bonfanti, Christian Licht, Riccarda Rossi

In this paper, we extend the asymptotic analysis in (Licht et al. in J. Math. Pures Appl. 99:685–703, 2013) performed, in the framework of small strains, on a structure consisting of two linearly elastic bodies connected by a thin soft nonlinear Kelvin–Voigt viscoelastic adhesive layer to the case in which the total mass of the layer remains strictly positive as its thickness tends to zero. We obtain

更新日期：2020-05-29
• J. Elast. (IF 1.906) Pub Date : 2020-05-29
M. Carme Calderer, Carlos Garavito, Duvan Henao, Lorenzo Tapia, Suping Lyu

We consider the problem of debonding of a thin gel domain from a rigid substrate. Starting with a variational approach involving the total energy of a gel, we formulate the boundary value problem of the governing equations in two-space dimensions. We consider the case that the aspect ratio, $$\eta$$, the quotient of the thickness of the film with respect to its length, is very small. We assume that

更新日期：2020-05-29
• J. Elast. (IF 1.906) Pub Date : 2020-05-29
Robert Bauer, Stefan Neukamm, Mathias Schäffner

In this paper we investigate rods made of nonlinearly elastic, composite–materials that feature a micro-heterogeneous prestrain that oscillates (locally periodic) on a scale that is small compared to the length of the rod. As a main result we derive a homogenized bending–torsion theory for rods as $$\Gamma$$-limit from 3D nonlinear elasticity by simultaneous homogenization and dimension reduction

更新日期：2020-05-29
• J. Elast. (IF 1.906) Pub Date : 2020-05-29
Antônio Francisco Neto

In this work we show how to obtain a closed form expression of any isotropic tensor function $$F\left (\boldsymbol{A}\right )$$ and their associated derivatives with $$\boldsymbol{A}$$ a second order tensor in a finite dimensional space. Our approach is based on a recent work of the author (SIAM Rev. 62(1):264–280, 2020) extending the Omega operator calculus, originally devised by MacMahon to describe

更新日期：2020-05-29
• J. Elast. (IF 1.906) Pub Date : 2020-05-07
Deepak Sachan, Ishan Sharma, T. Muthukumar

We investigate indentation by a smooth, rigid indenter of a two-dimensional half-space comprised of periodically arranged linear-elastic layers with different constitutive responses. Identifying the half-space’s material parameters as periodic functions in space, we utilize the theory of periodic homogenization to approximate the layered heterogeneous material by a linear-elastic, homogeneous, but

更新日期：2020-05-07
• J. Elast. (IF 1.906) Pub Date : 2020-05-07
Fan Jin, Donghua Yue

An equivalent indentation method is developed for the external crack problem with a Dugdale cohesive zone in the both axisymmetric and two-dimensional (2D) cases. This is achieved based on the principle of superposition by decomposing the original problem into two simple boundary value problems, with one considering action of a constant traction within the cohesive zone, and the other corresponding

更新日期：2020-05-07
• J. Elast. (IF 1.906) Pub Date : 2019-11-25
Mauricio Fernández

The present work continues the investigation first started by Lobos et al. (J. Elast. 128(1):17–60, 2017) concerning the orientation average of tensorial quantities connected to single-crystal physical quantities distributed in polycrystals. In Lobos et al. (J. Elast. 128(1):17–60, 2017), central orientation density functions were considered in the orientation average for fourth-order tensors with

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-10-16
Patrizio Neff, Bernhard Eidel, Marco Valerio d’Agostino, Angela Madeo

We rigorously determine the scale-independent short range elastic parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure. This is done using both classical periodic homogenization and a new procedure involving the concept of apparent material stiffness of a unit-cell under affine Dirichlet boundary conditions and Neumann’s principle on the overall representation

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-10-04
Animesh Pandey, Anurag Gupta

The incompatibility of linearized piecewise smooth strain field, arising out of volumetric and surface densities of topological defects and metric anomalies, is investigated. First, general forms of compatibility equations are derived for a piecewise smooth strain field, defined over a simply connected domain, with either a perfectly bonded or an imperfectly bonded interface. Several special cases

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-11-25
Josu J. Arroyo, Óscar J. Garay, Álvaro Pámpano

We consider the problem of finding a curve minimizing the Bernoulli bending energy among planar curves of the same length, joining two fixed points and possibly carrying orientations at the endpoints (Euler elastica). We focus on the problem of constructing closed form elasticae for given boundary data and show that, rather than employing complicated numerical algorithms, it suffices to use easily

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-10-16
Marco Valerio d’Agostino, Gabriele Barbagallo, Ionel-Dumitrel Ghiba, Bernhard Eidel, Patrizio Neff, Angela Madeo

In this paper the relaxed micromorphic material model for anisotropic elasticity is used to describe the dynamical behavior of a band-gap metamaterial with tetragonal symmetry. Unlike other continuum models (Cauchy, Cosserat, second gradient, classical Mindlin–Eringen micromorphic etc.), the relaxed micromorphic model is endowed to capture the main microscopic and macroscopic characteristics of the

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-07-25
Joachim Linn

The theory of Cosserat rods provides versatile models to simulate large spatial deformations of slender flexible structures. As the strain measures of the mechanical theory are given in terms of the differential invariants of Cosserat curves, the kinematics of Cosserat rods is closely related to the differential geometry of framed curves. We utilize ideas from the difference geometry of framed curves

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-09-02

The classic purely mechanical approach to materials with simple kinematic internal constraints is supplemented. A right Cauchy–Green tensor which locally represents the kinematically admissible restricted domain of a finite hyperelastic stress response function is constructed explicitly. It satisfies all imposed constraints identically. It is obtained by a procedure which annihilates the banned modes

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-07-22
Giacomo Po, Nikhil Chandra Admal, Bob Svendsen

The purpose of this work is the formulation of energetic constitutive relations for thermoelasticity of non-simple materials based on atomistic considerations and equilibrium statistical thermodynamics (EST). In particular, both (unrestricted) canonical, and (restricted) quasi-harmonic, formulations are considered. In the canonical case, (spatial) non-locality results from relaxation of the assumption

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-07-25
Claudia Comi, Jean-Jacques Marigo

This paper provides a detailed comparison of the two-scale homogenization method and of the Bloch-Floquet theory for the determination of band-gaps in locally resonant metamaterials. A medium composed by a stiff matrix with soft inclusions with 2D periodicity is considered and the equivalent mass density of the homogenized medium is explicitly obtained both for in-plane and out-of-plane wave propagation

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-09-02
Antonio Magaña, Ramón Quintanilla

We study the time decay of the solutions for the type III thermoelastic theory with microtemperatures and voids. We prove that, under suitable conditions for the constitutive tensors, the solutions decay exponentially. This fact is in somehow striking because it differs from the behaviour of the solutions in the classical model of thermoelasticity with microtemperatures and voids, where the exponential

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-08-29
Luca Lanzoni, Angelo Marcello Tarantino

In this paper the analysis for the anticlastic bending under constant curvature of nonlinear solids and beams, presented by Lanzoni, Tarantino (J. Elast. 131:137–170, 2018), is extended and further developed for the class of slender beams. Following a semi-inverse approach, the problem is studied by a three-dimensional kinematic model for the longitudinal inflexion, which is based on the hypothesis

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-10-01
M. D. Sharma

Propagation of harmonic plane waves is considered in a linear viscoelastic isotropic medium. Complex-valued velocities define the attenuated propagation of two bulk waves in this medium. The ratio of these velocities, as a complex-valued parameter, decides the number of Rayleigh waves in the medium. An empirical relation is derived to bifurcate the domain of this parameter, which identifies the necessary

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-06-18
Henry C. Simpson

We consider the complementing condition and Agmon’s condition for linearized elasticity in two-dimensions. With an elasticity tensor $$\mathsf{C}$$ derived from a compressible, isotropic stored energy $$W$$, linearized about a homogeneous deformation $$\mathbf{f}_{0}$$, we apply the complementing and Agmon’s conditions to a traction portion of the surface of a body with unit normal $$\mathbf{n}$$.

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2020-03-10
Miguel de Benito Delgado, Bernd Schmidt

We investigate energetically optimal configurations of thin structures with a pre-strain. Depending on the strength of the pre-strain we consider a whole hierarchy of effective plate theories with a spontaneous curvature term, ranging from linearised Kirchhoff to von Kármán to linearised von Kármán theories. While explicit formulae are available in the linearised regimes, the von Kármán theory turns

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2020-03-09
Darius Diogo Barreto, Ajeet Kumar, Sushma Santapuri

An axisymmetric and axially homogenous variational formulation is presented for coupled extension-torsion-inflation deformation in compressible magnetoelastomeric tubes in the presence of azimuthal and axial magnetic fields. The tube’s material is assumed to have a preferred magnetization direction which lie in the radial plane but at an angle from the tube’s axial direction - this imparts helical

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2020-03-06
Ciro D’Apice, Vittorio Zampoli, Stan Chiriţă

This paper considers the thermoelastic theory with two temperatures that involves higher gradients of thermal and mechanical effects. The wave propagation question is addressed within the class of waves of assigned wavelength. Considering harmonic in time wave solutions, it is found that the transverse waves are undamped in time and non-dispersive, and they are not altered by the thermal effects. Conversely

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-05-14
M. B. Rubin, L. Dorfmann

This paper proposes a new isotropic hyperelastic model for polymer foam, which explicitly models the micromechanical influence of changes in porosity. The foam is treated as a matrix of compressible solid material with evacuated pores that cause soft response for low pressures. In its general form, the strain energy of the foam depends on the strain energy of the solid material and on the porosity

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-03-27
Matteo Pelliciari, Angelo Marcello Tarantino

This paper deals with the equilibrium problem of von Mises trusses in nonlinear elasticity. A general loading condition is considered and the rods are regarded as hyperelastic bodies composed of a homogeneous isotropic material. Under the hypothesis of homogeneous deformations, the finite displacement fields and deformation gradients are derived. Consequently, the Piola-Kirchhoff and Cauchy stress

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-04-17
Jörg Christian Reiher, Albrecht Bertram

A general format for a third-order gradient elasto-plasticity under finite deformations is suggested. The basic assumptions are the principle of Euclidean invariance and the isomorphy of the elastic behaviour before and after yielding. The format allows for isotropy and anisotropy. Both the elastic and the plastic laws include the second and third deformation gradient. The starting point is an objective

更新日期：2020-04-16
• J. Elast. (IF 1.906) Pub Date : 2019-06-24
Léo Morin, Pierre Gilormini, Katell Derrien

The aim of this short paper is to provide, for elasticity tensors, generalized Euclidean distances that preserve the property of invariance by inversion. First, the elasticity law is expressed under a non-dimensional form by means of a gauge, which leads to an expression of elasticity (stiffness or compliance) tensors without units. Based on the difference between functions of the dimensionless tensors

更新日期：2020-04-16
• J. Elast. Pub Date : 2019-10-11
Seungik Baek,Chun Liu,Kun Gou,Jungsil Kim,Hamidreza Gharahi,Christina Chan

Recent studies suggest that cells routinely probe their mechanical environments and that this mechanosensitive behavior regulates some of their cellular activities. The finite elasticity theory of small-on-large deformation (SoL) has been shown to be effective in interpreting the mechanosensitive behavior of cells on a substrate that has been subjected to a prior large static stretch before the culturing

更新日期：2019-11-01
• J. Elast. Pub Date : 2018-04-11
Colleen M Witzenburg,Jeffrey W Holmes

The heart grows in response to changes in hemodynamic loading during normal development and in response to valve disease, hypertension, and other pathologies. In general, a left ventricle subjected to increased afterload (pressure overloading) exhibits concentric growth characterized by thickening of individual myocytes and the heart wall, while one experiencing increased preload (volume overloading)

更新日期：2019-11-01
• J. Elast. Pub Date : 2017-11-21
J Weickenmeier,P Saze,C A M Butler,P G Young,A Goriely,E Kuhl

Brain swelling is a serious condition associated with an accumulation of fluid inside the brain that can be caused by trauma, stroke, infection, or tumors. It increases the pressure inside the skull and reduces blood and oxygen supply. To relieve the intracranial pressure, neurosurgeons remove part of the skull and allow the swollen brain to bulge outward, a procedure known as decompressive craniectomy

更新日期：2019-11-01
• J. Elast. Pub Date : 2017-10-03
Rafael Grytz,Mustapha El Hamdaoui

The sclera uses unknown mechanisms to match the eye's axial length to its optics during development, producing eyes with good focus (emmetropia). A myopic eye is too long for its own optics. We propose a multi-scale computational model to simulate eye development based on the assumption that scleral growth is controlled by genetic factors while scleral remodeling is driven by genetic factors and the

更新日期：2019-11-01
• J. Elast. Pub Date : 2017-09-13
D Ambrosi,S Pezzuto,D Riccobelli,T Stylianopoulos,P Ciarletta

The experimental evidence that a feedback exists between growth and stress in tumors poses challenging questions. First, the rheological properties (the "constitutive equations") of aggregates of malignant cells are still a matter of debate. Secondly, the feedback law (the "growth law") that relates stress and mitotic-apoptotic rate is far to be identified. We address these questions on the basis of

更新日期：2019-11-01
• J. Elast. Pub Date : 2015-08-28

The short note concerns with elasticity problems involving singular and hypersingular integrals over open surfaces, specifically cracks, with the contour propagating in time. Noting that near a smooth part of a propagating contour the state is asymptotically plane, we focus on 1D hypersingular integrals and employ complex variables. By using the theory of complex variable singular and hypersingular

更新日期：2019-11-01
• J. Elast. Pub Date : 2014-05-06
Nicolas Clauvelin,Wilma K Olson,Irwin Tobias

We present the small-amplitude vibrations of a circular elastic ring with periodic and clamped boundary conditions. We model the rod as an inextensible, isotropic, naturally straight Kirchhoff elastic rod and obtain the vibrational modes of the ring analytically for periodic boundary conditions and numerically for clamped boundary conditions. Of particular interest are the dependence of the vibrational

更新日期：2019-11-01
• J. Elast. Pub Date : 2001-09-07
G Yang,J Kabel,B van Rietbergen,A Odgaard,R Huiskes,S C Cowin

A method of data analysis for a set of elastic constant measurements is applied to data bases for wood and cancellous bone. For these materials the identification of the type of elastic symmetry is complicated by the variable composition of the material. The data analysis method permits the identification of the type of elastic symmetry to be accomplished independent of the examination of the variable

更新日期：2019-11-01
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