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Showing papers in "International Journal of Solids and Structures in 2003"


Journal ArticleDOI
TL;DR: In this article, a quantitative definition of the representative volume element (RVE) size is proposed, which can be associated with a given precision of the estimation of the overall property and the number of realizations of a given volume V of microstructure that one is able to consider.

1,772 citations


Journal ArticleDOI
TL;DR: In this article, a structural mechanics approach to modeling the deformation of carbon nanotubes is presented, where the primary bonds between two nearest-neighboring atoms act like loadbearing beam members, whereas an individual atom acts as the joint of the related beam members.

1,266 citations


Journal ArticleDOI
TL;DR: In this paper, an explicit unified boundary condition for a periodic representative volume element (RVE) is presented which satisfies the periodicity conditions, and is suitable for any combination of multiaxial loads.

698 citations


Journal ArticleDOI
TL;DR: In this paper, the authors presented a new multi-layer laminated composite structure model to predict the mechanical behavior of multi-layered composite structures from both a static and dynamic point of view.

597 citations


Journal ArticleDOI
TL;DR: In this article, the authors examined the application of split Hopkinson pressure bar (SHPB) to determine the dynamic strength of concrete-like materials whose compressive strength is hydrostatic-stress-dependent and showed that the apparent dynamic strength enhancement beyond the strain-rate of 102 s−1 is strongly influenced by the hydrostatic stress effect due to the lateral inertia confinement in a SHPB test.

541 citations


Journal ArticleDOI
TL;DR: In this article, a formulation of polyconvex anisotropic hyperelasticity at finite strains is proposed, where the authors represent the governing constitutive equations within the framework of the invariant theory, in order to guarantee the existence of minimizers.

415 citations


Journal ArticleDOI
TL;DR: In this article, the authors present an extended finite element method (X-FEM) for modeling strong (displacement) and weak (strain) discontinuities within a standard finite element framework.

401 citations


Journal ArticleDOI
TL;DR: In this article, a decomposition of the microscopic anelastic strain field on a finite set of transformation fields is proposed to describe the overall behavior of composites with nonlinear dissipative phases.

342 citations


Journal ArticleDOI
TL;DR: In this article, the authors developed homogenization schemes and numerical algorithms for two-phase elasto-plastic composite materials and structures and integrated them into the finite element (FE) program ABAQUS.

323 citations


Journal ArticleDOI
TL;DR: In this article, the authors investigated several models in the literature for near-incompressibility based on invariants in terms of polyconvexity and coerciveness inequality, which are sufficient to guarantee the existence of a solution.

321 citations


Journal ArticleDOI
TL;DR: In this paper, the axisymmetric large deflection bending of a functionally graded circular plate under mechanical, thermal and combined thermal-mechanical loadings, respectively, was investigated.

Journal ArticleDOI
TL;DR: In this paper, an analytical solution is presented for three-dimensional thermomechanical deformations of a simply supported functionally graded (FG) rectangular plate subjected to time-dependent thermal loads on its top and/or bottom surfaces.

Journal ArticleDOI
TL;DR: In this article, the fundamental vibration mode of a cracked cantilever beam is analyzed using continuous wavelet transform and both the location and size of the crack are estimated by the sudden change in the spatial variation of the transformed response.

Journal ArticleDOI
TL;DR: In this article, the problems of bending and stability of Bernoulli-Euler beams are solved analytically on the basis of a simple linear theory of gradient elasticity with surface energy.

Journal ArticleDOI
TL;DR: In this article, a Galerkin-differential quadrature iteration algorithm is proposed for solution of the non-linear partial differential governing equations of FGM rectangular plates that are integrated with surface-bonded piezoelectric actuators and are subjected to the combined action of uniform temperature change, inplane forces, and constant applied actuator voltage.

Journal ArticleDOI
TL;DR: In this paper, an analysis of the thermomechanical behavior of hollow circular cylinders of functionally graded material (FGM) cylinders is presented, and the authors conclude that thermal stresses necessarily occur in the FGM cylinder, except in the trivial case of zero temperature.

Journal ArticleDOI
M. Nemat-Alla1
TL;DR: In this paper, a two-dimensional functionally graded materials, 2D-FGM, is introduced to withstand super high temperatures and to give more reduction in thermal stresses than the conventional FGM.

Journal ArticleDOI
TL;DR: In this article, an additive decomposition of the total strain into elastic and inelastic parts is adopted, where the elastic part is further decomposed into two portions due to the elastic distortion of the material grains and the other is due to crack closure and void contraction.

Journal ArticleDOI
TL;DR: In this paper, an analytical model for the ballistic impact response of fibrous materials of interest in body armor applications is presented, focusing on an un-tensioned 2D membrane impacted transversely by a blunt-nosed projectile, a problem that has remained unsolved for a half a century.

Journal ArticleDOI
TL;DR: In this article, the performance characteristics of a truss core sandwich panel design based on the 3D Kagome has been measured and compared with earlier simulations, and the isotropic nature of this core design has been confirmed.

Journal ArticleDOI
TL;DR: In this paper, an exact three-dimensional analysis for a functionally gradient piezoelectric material rectangular plate that is simply supported and grounded along its four edges is presented, assuming that the mechanical and electric properties of the material have the same exponent-law dependence on the thickness coordinate.

Journal ArticleDOI
TL;DR: In this paper, a non-probabilistic interval analysis method for the dynamical response of structures with uncertain-but-bounded parameters is presented. And the results show that the region of the structure with uncertain but bounded parameters contains that produced by the probabilistic approach.

Journal ArticleDOI
TL;DR: In this paper, a continuum theory for the elastic-viscoplastic deformation of amorphous solids such as polymeric and metallic glasses is proposed. But the authors do not consider the elasticity of polymeric solids and instead focus on the dependence of the Helmholtz free energy on the deformation in a thermodynamically consistent manner.

Journal ArticleDOI
M. Huang1
TL;DR: In this paper, the photo-elastic relation and wave equations for inhomogeneous and anisotropic waveguides are reviewed and the effective refractive indexes and mode shapes of planar waveguide under different stress states are obtained analytically.

Journal ArticleDOI
TL;DR: In this paper, a phenomenological material model is proposed to represent the multiaxial material behavior of shape memory alloys, based on a free energy function and evolution equations for internal variables.

Journal ArticleDOI
TL;DR: In this paper, the finite element method has been used to simulate the properties of panels with Kagome and tetragonal cores under compressive and shear loading, and the simulation has been performed for two different materials: a Cu-alloy with extensive strain hardening and an Al-aloy with minimal hardening.

Journal ArticleDOI
TL;DR: Simulations show how the redundancy of the CWT in the functional space is able to efficiently identify locations of open cracks in the presence of noisy or clean data.

Journal ArticleDOI
TL;DR: In this paper, a theory is presented which allows for the prediction of the moment levels needed to effect the snap-through event, which is generated by a force and support arrangement attached to the laminate.

Journal ArticleDOI
TL;DR: This paper presents a strategy for tensegrity structures deployment by using a certain set of equilibria to which the undeployed and deployed configurations belong and conducting the deployment such that the deployment trajectory is close to this equilibrium manifold.

Journal ArticleDOI
TL;DR: In this article, a spectral finite element method is employed to analyse the wave propagation behavior in a functionally graded (FG) beam subjected to high frequency impulse loading, which can be either thermal or mechanical.