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Showing papers in "International Journal of Solids and Structures in 1996"


Journal ArticleDOI
TL;DR: In this paper, a Lagrangian finite element method of fracture and fragmentation in brittle materials is developed, where a cohesive-law fracture model is used to propagate multiple cracks along arbitrary paths.

1,970 citations


Journal ArticleDOI
TL;DR: In this article, a theory of continuum damage mechanics is developed within the framework of the principle of virtual power, where the damage in a solid results from microscopic movements, and they decide to include the power of these microscopic movements in power of the internal forces.

543 citations


Journal ArticleDOI
TL;DR: In this paper, the authors present an analysis of strong discontinuities in inelastic solids at finite strains, characterized by a discontinuous displacement field, which makes physical and mathematical sense if the softening modulus is reinterpreted as a singular distribution.

373 citations


Journal ArticleDOI
TL;DR: In this article, a simple four-node quadrilateral and an eight-node hexahedron for large strain analysis of nearly incompressible solids are proposed based on the concept of deviatoric/volumetric split and the replacement of the compatible deformation gradient with an assumed modified counterpart.

348 citations


Journal ArticleDOI
TL;DR: In this article, the authors analyzed the Berkovich indentation test numerically, using the finite element method, and experimentally and derived universal formulae for the load-indentation depth relation and the hardness, as well as a detailed study of the mechanical fields involved at loading and unloading.

337 citations


Journal ArticleDOI
TL;DR: In this article, general solutions for the coupled dynamic equations for a transversely isotropic piezoelectric medium were obtained for a half-space with concentrated loads at the boundary.

299 citations


Journal ArticleDOI
TL;DR: A meshless approach to the analysis of arbitrary Kirchhoff shells by the Element-Free Galerkin (EFG) method is presented, which means that the discretization is independent of the geometric subdivision into “finite elements”.

281 citations


Journal ArticleDOI
TL;DR: In this article, the accuracy of the basic measurements of forces and velocities at both sample faces is discussed concerning the early stage of the loading and a more precise wave dispersion correction and a new method to set exact origins of waves are then proposed.

268 citations


Journal ArticleDOI
TL;DR: In this paper, the concept of equivalent crack concept is defined, in passing from a damage zone to a fracture problem and conversely, the damage zone is determined which is equivalent to a crack.

247 citations


Journal ArticleDOI
TL;DR: In this paper, a fully coupled thermomechanical constitutive model for highly deformable bodies with viscous dissipation is proposed, based on the concept of internal state variables and rational thermodynamics.

242 citations


Journal ArticleDOI
TL;DR: In this paper, the authors formulated the mechanical and electric fields in a piezoelectric material around an elliptical cylinder cavity and the electric field within the cavity are formulated by complex potentials.

Journal ArticleDOI
TL;DR: In this paper, the static microstructural effects of periodic elastic composites were studied by the homogenization method, based on the analysis of the momentum balance equations which appear at higher orders.

Journal ArticleDOI
TL;DR: In this paper, a composite yield function is used to describe the behavior of plain and reinforced concrete in biaxial stress under monotonic loading conditions, and the proposed Euler backward algorithm based on the composite yield functions and enhanced by a consistent linearization of the integrated stress strain relation for use within a Newton Raphson method at the structural level, is extremely robust for this particular class of problems.

Journal ArticleDOI
TL;DR: In this article, the problem of a piezoelectric body with an elliptic cavity is revisited within the frame-work of two-dimensional electro-elasticity.

Journal ArticleDOI
TL;DR: In this paper, a model of crack growth in an elastic-plastic solid is studied by a computational model, in which a cohesive zone model is used to characterize the fracture process and an effect of plastic straining, reducing the peak stress for separation, is incorporated.

Journal ArticleDOI
TL;DR: In this paper, an exact transfer matrix-based methodology for the analysis of laminated piezoelectric structures is presented, where the transfer matrix is rendered in block form by judiciously arranging the state variables and its property is exploited to minimize the computational effort.

Journal ArticleDOI
TL;DR: In this article, a generalized plasticity model based on the Drucker-Prager flow potential is proposed for shape-memory alloys, which is applied to a simplified representation of the behavior of shapememory metal alloys.

Journal ArticleDOI
TL;DR: In this paper, a generalized standard model for contact, friction and wear is derived from the principle of virtual power and the fundamental laws of thermodynamics by defining an internal state variable for the wear process.

Journal ArticleDOI
TL;DR: In this paper, a generalised continuum model for granular media is derived by direct homogenisation of the discrete equations of motion, which is a combination of a Cosserat Continuum and a higher-order deformation gradient continuum.

Journal ArticleDOI
TL;DR: In this article, a unified framework for applying the co-rotational method to the analysis of solids, shells and beams is described, which allows a simpler formulation that is simpler than many of the earlier procedures and, in addition, gives a direct indication of the terms in the tangent stiffness which may be ignored.

Journal ArticleDOI
TL;DR: In this paper, the Stroh formalism was adopted to solve the two-dimensional problem of an elliptic hole in a solid of anisotropic piezoelectric material.

Journal ArticleDOI
TL;DR: The disturbed state concept (DSC) as mentioned in this paper is based on the idea that a deforming material element can be treated as a mixture of two constituent parts in the relative intact (RI) and fully adjusted (FA) states, referred to as reference states.

Journal ArticleDOI
TL;DR: In this article, closed-form expressions for the infinite-body Green's functions for a transversely isotropic piezoelectric medium were obtained using a formulation where the three displacements and the electric potential are derived from two potential functions.

Journal ArticleDOI
TL;DR: In this article, the authors considered the problem of a penny-shaped crack in homogeneous dissimilar materials bonded through an interfacial region with graded mechanical properties, and the applied loads are assumed to be axisymmetric but otherwise arbitrary.

Journal ArticleDOI
TL;DR: In this article, the authors present a theory to compute strains from the displacements in a discrete set of points and is particularly useful in the post-processing of experimentally measured displacement fields.

Journal ArticleDOI
TL;DR: In this paper, a micromechanical theory for the thermoelastic response of functionally graded composites with non-uniform fiber spacing in the through-thickness direction is further extended to enable analysis of material architectures characterized by arbitrarily nonuniform fibre spacing in two directions.

Journal ArticleDOI
TL;DR: In this article, numerical verifications of a geometrically-exact curved beam model which fully accounts for large rotations, large displacements, initial curvatures and extensionality are presented.

Journal ArticleDOI
TL;DR: In this paper, a noncontact measurement of the radial deformations of a sample during a compression Kolsky bar (split-Hopkinson pressure bar) experiment is presented, which is used to determine the relative validity of the incompressibility and Bell constraints for finite deformation dynamic plasticity.

Journal ArticleDOI
TL;DR: In this article, exact closed-form solutions for the stress and induction field of a spheroidal piezo-electric inclusion in an infinite piezoelectric matrix subjected to spatially homogeneous mechanical and electrical loadings far away from the inclusion were obtained.

Journal ArticleDOI
TL;DR: In this paper, a macroscopic elastic model is derived from a microscopic Hertz-Mindlin elastic contact law using an homogenisation technique, and the influence of the static and kinematic internal variables defined in the homogenization approach is discussed.