The elasticity of elasticity
From MaRDI portal
Publication:2369861
DOI10.1007/s00033-006-6084-5zbMath1113.74006OpenAlexW2059655611MaRDI QIDQ2369861
Publication date: 21 June 2007
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-006-6084-5
Related Items (only showing first 100 items - show all)
M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions ⋮ Ellipticity of gradient poroelasticity ⋮ A generalization of the classical Euler and Korteweg fluids. ⋮ Stress concentration due to the bi‐axial deformation of a plate of a porous elastic body with a hole ⋮ Generalized Multiscale Finite Element Treatment of a Heterogeneous Nonlinear Strain-limiting Elastic Model ⋮ On the response of anisotropic elastic bodies described by implicit constitutive relations ⋮ Residual stress and material symmetry ⋮ Stress-diffusive regularizations of non-dissipative rate-type materials ⋮ Particle-free bodies and point-free spaces ⋮ Bogus transformations in mechanics of continua ⋮ On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear ⋮ Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack ⋮ A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies ⋮ Modeling bodies that can only undergo isochoric motions subject to mechanical stimuli but are compressible or expansible with respect to thermal stimuli ⋮ Large deformations of a new class of incompressible elastic bodies ⋮ On the consequences of the constraint of incompressibility with regard to a new class of constitutive relations for elastic bodies: small displacement gradient approximation ⋮ A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings ⋮ A numerical study of a plate with a hole for a new class of elastic bodies ⋮ On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials ⋮ A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic ⋮ Thermo-mechanically coupled constitutive equations for soft elastomers with arbitrary initial states ⋮ A three-dimensional implicit constitutive relation to describe stress softening. II: Analysis of some boundary value problems ⋮ Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains ⋮ A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials ⋮ A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: applications to rock mechanics ⋮ New classes of electro-elastic and thermo-electro-elastic bodies that are not Green elastic ⋮ Unnamed Item ⋮ A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity ⋮ A note on incremental equations for a new class of constitutive relations for elastic bodies ⋮ Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies ⋮ Analysis and approximation of a strain-limiting nonlinear elastic model ⋮ On the use of compatibility conditions for the strain in linear and non-linear theories of mechanics ⋮ Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress ⋮ An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density ⋮ Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks ⋮ Two-dimensional nonlinear stress and displacement waves for a new class of constitutive equations ⋮ Stress concentration due to the presence of a rigid elliptical inclusion in porous elastic solids described by a new class of constitutive relations ⋮ Incremental equations and propagation of small amplitude waves for isotropic incompressible elastic bodies. The case the Hencky strain tensor is a function of the Cauchy stress tensor ⋮ On implicit constitutive relations in elastic ferroelectrics ⋮ On entropy solutions of scalar conservation laws with discontinuous flux ⋮ The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies ⋮ A note on a reappraisal and generalization of the Kelvin-Voigt model ⋮ Constitutive relations for anisotropic porous solids undergoing small strains whose material moduli depend on the density and the pressure ⋮ Non‐affine fiber kinematics in arterial mechanics: a continuum micromechanical investigation ⋮ Study of a new class of nonlinear inextensible elastic bodies ⋮ Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity ⋮ A nonlinear model for describing the mechanical behaviour of rock ⋮ Compressible generalized Newtonian fluids ⋮ Computational modeling of circular crack-tip fields under tensile loading in a strain-limiting elastic solid ⋮ Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack ⋮ Elastic waves in a circular cylinder and cylindrical annulus for a subclass of implicit constitutive equations ⋮ Extension, inflation and circumferential shearing of an annular cylinder for a class of compressible elastic bodies ⋮ On the inhomogeneous shearing of a new class of elastic bodies ⋮ On strong ellipticity for implicit and strain-limiting theories of elasticity ⋮ Exploitation of the linear theory in the non-linear modelling of soft tissue ⋮ Unsteady motions of a new class of elastic solids ⋮ On compressible Korteweg fluid-like materials ⋮ Rheological models for large deformations of elastic-viscoplastic materials ⋮ Modeling in cardiovascular biomechanics ⋮ A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies ⋮ A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation ⋮ \({\mathcal{C}}^{\alpha}\)-regularity for a class of non-diagonal elliptic systems with \(p\)-growth ⋮ The circumferential shearing of a cylindrical annulus of viscoelastic solids described by implicit constitutive relations ⋮ Existence and smoothness for a class of \(d\)-dimensional models in elasticity theory of small deformations ⋮ A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies ⋮ On a class of non-dissipative materials that are not hyperelastic ⋮ Representations for implicit constitutive relations describing non-dissipative response of isotropic materials ⋮ Numerical technique for solving truss and plane problems for a new class of elastic bodies ⋮ Viscoelasticity with limiting strain ⋮ Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations ⋮ Some universal solutions for incompressible elastic bodies that are not Green elastic ⋮ On scale invariance in anisotropic plasticity, gradient plasticity and gradient elasticity ⋮ On evolution equations for elastic deformation and the notion of hyperelasticity ⋮ On a class of Gibbs potential-based nonlinear elastic models with small strains ⋮ On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth ⋮ Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid ⋮ On the nonlinear elastic response of bodies in the small strain range ⋮ Gradient effects in a new class of electro-elastic bodies ⋮ On an implicit model linear in both stress and strain to describe the response of porous solids ⋮ Solutions of some boundary value problems for a new class of elastic bodies. Comparison with predictions of the classical theory of linearized elasticity: Part II. A problem with spherical symmetry ⋮ Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry ⋮ Modeling the non-dissipative response of vulcanized unfilled rubber ⋮ Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies ⋮ Finite element simulation of quasi-static tensile fracture In nonlinear strain-limiting solids with the phase-field approach ⋮ Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation ⋮ CONTINUUM THERMODYNAMICS AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ⋮ ON SCALAR HYPERBOLIC CONSERVATION LAWS WITH A DISCONTINUOUS FLUX ⋮ Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework ⋮ Stability of plane Couette flow past an initially stressed solid ⋮ A class of transversely isotropic non-linear elastic bodies that is not Green elastic ⋮ The one-dimensional flow of a fluid with limited strain-rate ⋮ Generalized multiscale finite element method for a strain-limiting nonlinear elasticity model ⋮ Finite element model for a coupled thermo-mechanical system in nonlinear strain-limiting thermoelastic body ⋮ Non-Linear Elastic Bodies Exhibiting Limiting Small Strain ⋮ Conspectus of concepts of elasticity ⋮ Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory ⋮ Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity ⋮ Hyperelastic constitutive modeling of hydrogels based on primary deformation modes and validation under 3D stress states ⋮ Implicit constitutive models with a thermodynamic basis: a study of stress concentration ⋮ On monotonicity for strain-limiting theories of elasticity
This page was built for publication: The elasticity of elasticity
