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Showing papers in "International Journal of Solids and Structures in 2001"


Journal ArticleDOI
TL;DR: In this paper, the effect of adding nonlocal or gradient terms to the constitutive modeling may enhance the ability of the models to describe such situations, and the relation between these enhancements are examined in a continuum damage setting.

590 citations


Journal ArticleDOI
TL;DR: In this paper, the macroscopic effective stiffness and strength of triangulated face-sheets and tetrahedral core are estimated by idealizing them as pin-jointed assemblies; tests show that this approximation is adequate.

483 citations


Journal ArticleDOI
TL;DR: In this paper, a finite element formulation based on the classical laminated plate theory is presented for the shape and vibration control of the functionally graded material (FGM) plates with integrated piezoelectric sensors and actuators.

407 citations


Journal ArticleDOI
TL;DR: An adaptive multi-level methodology is developed in this article to create a hierarchy of computational sub-domains with varying resolution for multiple scale problems, which is intended to concurrently predict evolution of variables at the structural and micro-structural scales, as well as to track the incidence and propagation of microstructural damage in composite and porous materials.

379 citations


Journal ArticleDOI
TL;DR: In this article, the truss elements and faces made from a single material are optimized for minimum weight subject to prescribed combinations of bending and transverse shear loads and compared with similarly optimized honeycomb core sandwich plates fashioned from the same material.

361 citations


Journal ArticleDOI
TL;DR: In this paper, the Eringen model of nonlocal elasticity is considered and its implications in solid mechanics studied, and the conditions for the solution uniqueness are established for the boundary-value problem for infinitesimal displacements and quasi-static loads are established.

359 citations


Journal ArticleDOI
TL;DR: In this article, an analytic solution for the coupled large deflection of plates and shallow shells made of functionally graded materials (FGMs) under transverse mechanical loads and a temperature field is provided.

342 citations


Journal ArticleDOI
TL;DR: In this article, the elastic moduli as well as the uniaxial and shear strengths of one particular geometry of 3D truss material as a function of the aspect ratio of the unit cell were analyzed.

307 citations


Journal ArticleDOI
TL;DR: In this paper, a dynamic stability analysis of functionally graded shells under harmonic axial loading is presented, where a profile for the volume fraction is assumed and a normal-mode expansion of the equations of motion yields a system of Mathieu-Hill equations the stability of which is analyzed by the Bolotin's method.

261 citations


Journal ArticleDOI
TL;DR: In this paper, the microplane material model for concrete based on the relaxed kinematic constraint is presented, aimed to be used for three-dimensional damage and fracture analysis of concrete and reinforced concrete structures in the framework of smeared crack approach.

241 citations


Journal ArticleDOI
TL;DR: In this paper, the initial failure load of sandwich beams with metallic foam cores is estimated, corresponding to the first deviation from linearity in the load-deflection curve as well as the peak load for each mode.

Journal ArticleDOI
TL;DR: In this article, the standard mechanical model (SMM) comprising linear springs and dashpots is shown to accurately describe the broadband rheological behavior of common viscoelastic dampers and be more efficient than other models such as the fractional derivative model and the modified power law.

Journal ArticleDOI
TL;DR: In this article, an isotropic damage model for concrete is presented, where the main features of the model are: limited number of constitutive parameters required; independent modelling of tension and compression behaviour by means of two damage variables and two separate activation criteria (bi-dissipative model); independent definition of tension/compression fracture energies; consistent modelling of the unilateral effect upon transition from tension to compression; and the effectiveness of fracture energy based regularization strategy.

Journal ArticleDOI
TL;DR: In this paper, explicit formulae for the homogenized values of the elastic moduli of composite materials called syntactic foams are derived, by means of the physical model and the corresponding elastic solution used by Herve and Pellegrini.

Journal ArticleDOI
TL;DR: In this article, a Taylor-based nonlocal theory of plasticity is proposed to account for the size dependence of plastic deformation at micron and submicron length scales, which can be applied to void growth, cavitation instabilities and particle-reinforced composites, as well as comparison with experiments on micro-torsion, micro-bending and microindentation.

Journal ArticleDOI
TL;DR: In this article, the formation of cup-cone fracture in round bars and of slant fracture in plane strain specimens using the finite element (FE) method was studied using the Rousselier model and the Gurson model.

Journal ArticleDOI
TL;DR: In this article, the thermomechanical behavior of two common polymers, polymethyl methacrylate (PMMA) and polycarbonate (PC), subjected to compressive dynamic loading was investigated.

Journal ArticleDOI
TL;DR: In this article, a cohesive zone model for fatigue crack initiation and growth in quasibrittle materials is proposed, where the softening material in the cohesive zone and cracks are modeled as internal singular surfaces in the elastic body.

Journal ArticleDOI
TL;DR: In this paper, the effective elasticity tensor of two-phase metal matrix composites (MMCs) containing randomly located yet unidirectionally aligned spheroidal inhomogeneities was derived.

Journal ArticleDOI
TL;DR: In this article, three-dimensional numerical analyses of a spherical void, contained within a cubic cell, under finite deformation have been carried out, and the analysis was focused on the influence of different Lode parameter values on the directional expansion of a void.

Journal ArticleDOI
TL;DR: In this paper, the authors proposed a new ''pseudo-logarithmic'' rate of damage, which has the advantage of exhibiting a simple and meaningful conjugate force with very convenient properties.

Journal ArticleDOI
TL;DR: In this paper, a general framework to deal with local second gradient theories within theories with microstructure, keeping in mind future applications for geomaterials, is presented, where the key point of this method is the use of patch conditions between loading and unloading parts.

Journal ArticleDOI
TL;DR: In this article, the Cosserat effective medium was shown to be a Cauchy continuum with volume couples, whereas the case l c ∼ L leads to a Cosserserat equivalent medium.

Journal ArticleDOI
TL;DR: In this paper, a comparison between two-dimensional elastic discrete lattices and a corresponding Cosserat continuum is made, and the dispersion relations for the lattice models and the Cossingat continuum model are examined in order to determine up to which wavelength of the deformation field the COSSerat model accurately represents the underlying discrete micro-structure.

Journal ArticleDOI
TL;DR: In this paper, a traction-separation law was used to simulate the mode-II interfacial fracture of adhesively bonded end-notched flexure (ENF) specimens loaded in three-point bending, with extensive plastic deformation accompanying failure.

Journal ArticleDOI
TL;DR: In this article, the authors studied the thermomechanical properties of functionally graded cylinders under extension, torsion, shearing, pressure, and temperature changes and derived exact solutions for the temperature distribution, thermoelastic deformations and stress fields for inhomogeneous hollow and solid cylinders.

Journal ArticleDOI
TL;DR: Steinmann et al. as mentioned in this paper considered the continuum mechanics of material forces, which act, contrary to the common physical forces, on the material manifold or rather in the material space, and discretized the corresponding quasi-static balance of pseudo momentum by a standard Galerkin finite element procedure.

Journal ArticleDOI
TL;DR: In this article, a variational formulation with discontinuous shape functions is used to model brittle fracture in unstructured meshes, and a discrete constitutive (traction-separation) model is applied to avoid the need for numerical parameters to achieve mesh objective results.

Journal ArticleDOI
TL;DR: In this paper, a new kind of viscous regularization is proposed for the Tvergaard debonding model, which has a limited rate dependency and can be used to simulate various scales of composite debonding effects such as decohesion between matrix and fibers and delamination in laminates.

Journal ArticleDOI
TL;DR: In this article, a unified mechanics based model developed to study workpiece-tool system dynamics is used for the numerical studies, which allows for both regenerative effects and loss of contact effects, can be used for studying partial immersion, high-immersion, and slotting operations.