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Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2003"


Journal ArticleDOI
TL;DR: A new approach to structural topology optimization that represents the structural boundary by a level set model that is embedded in a scalar function of a higher dimension that demonstrates outstanding flexibility of handling topological changes, fidelity of boundary representation and degree of automation.

2,404 citations


Journal ArticleDOI
TL;DR: In this paper, the extended finite element method (X-FEM) is used to solve multiscale analysis of complex geometries, where the mesh does not need to conform to the physical surfaces, it needs to be fine enough to capture the geometry of these surfaces.

663 citations



Journal ArticleDOI
TL;DR: In this article, a local radial basis function-based differential quadrature (LRQ) method is proposed, which discretizes any derivative at a knot by a weighted linear sum of functional values at its neighbouring knots, which may be distributed randomly.

475 citations


Journal ArticleDOI
TL;DR: In this article, a displacement-based, symmetric finite-element implementation of the perfectly matched layer (PML) model is presented for time-harmonic plane-strain or three-dimensional motion.

334 citations


Journal ArticleDOI
TL;DR: In this article, a model of a crack propagating through a finite element mesh under mixed mode conditions is presented, and three different crack growth criteria and the respective crack paths prediction for several test cases are compared.

328 citations


Journal ArticleDOI
TL;DR: In this article, the authors proposed an alternative way to compute the topological derivative based on the shape sensitivity analysis concepts, which leads to a more simple and constructive formulation than the ones found in the literature.

305 citations


Journal ArticleDOI
TL;DR: In this article, a mathematical model for analysis of hygrothermal behavior of concrete as a multi-phase porous material at high temperatures, accounting for material deterioration, is presented, starting from macroscopic balances of mass, energy and linear momentum of single constituents.

271 citations


Journal ArticleDOI
TL;DR: In this paper, a family of algorithms and matrix representations of overall properties of discretized micro-structures which are motivated by a minimization of averaged incremental energy is presented, where the overall stresses and tangent moduli of a typical micro-structure are defined in terms of discrete forces and stiffness properties on the boundary.

253 citations


Journal ArticleDOI
TL;DR: Preliminary results obtained for two-dimensional model problems discretized by uniform meshes reveal that the proposed DGM enables the development of elements that are far more competitive than both the standard linear and the standard quadratic Galerkin elements for the discretization of Helmholtz problems.

252 citations


Journal ArticleDOI
TL;DR: In this paper, the inverse trace inequalities for hp-finite elements were derived using orthogonal polynomials and derived explicit expressions for the constants when considering triangular and tetrahedral elements.

Journal ArticleDOI
TL;DR: In this paper, a simple low-order solid-shell element formulation is presented, having only displacement degrees of freedom (dofs) that has an optimal number of parameters to pass the patch tests, and thus allows for efficient and accurate analyses of large deformable multilayer shell structures using elements at extremely high aspect ratio.

Journal ArticleDOI
TL;DR: In this article, the first-order shear deformation theory was adopted in the moving least squares differential quadrature (MLSDQ) procedure for predicting the free vibration behavior of moderately thick symmetrically laminated composite plates.

Journal ArticleDOI
TL;DR: In this article, an optimization method using Kriging approximation is applied to a structural optimization problem, which involves two main processes: the first is a space estimation process that uses the kriging method, and the second is an optimization process.

Journal ArticleDOI
TL;DR: In this article, the authors compared derivation methods for constructing optimal membrane triangles with corner drilling freedoms, and showed that the optimal element that fits the ANDES template is unique if energy orthogonality constraints are enforced.

Journal ArticleDOI
TL;DR: In this paper, a computational framework for the description of the combined continuous-discontinuous failure in a regularised strain-softening continuum is proposed, which allows for the analysis of the entire failure process, from diffuse microcracking to localised macrocracks.

Journal ArticleDOI
TL;DR: In this paper, a multiscale computational strategy was proposed for the analysis of structures described both on a fine space scale and a fine time scale, which involves homogenization in space as well as in time.

Journal ArticleDOI
TL;DR: In this article, a spectral representation of stresses and strains for infinitesimal and finite deformation plasticity, and a return mapping in principal stress directions are used for the integration of isotropically hardening three-invariant elastoplastic constitutive models with convex yield surfaces.

Journal ArticleDOI
TL;DR: In this article, the authors proposed the substitution of objective functions having barriers by modified versions that are defined and regular on all R 3, which is also applicable to meshes with inverted elements, making a previous untangling procedure unnecessary.

Journal ArticleDOI
TL;DR: In this article, the authors proposed an interaction integral-based framework for quasi-static crack propagation in linear elastic functionally graded materials (FGMs), where the fracture parameters describing the crack tip fields include not only stress intensity factors (SIFs) but also T-stress (nonsingular stress).

Journal ArticleDOI
TL;DR: In this paper, a numerical modeling of the steady flow of a yield stress fluid around a cylinder is presented, and the asymptotic behavior when the cylinder gets close to the wall is investigated.

Journal ArticleDOI
TL;DR: The most recent work devoted to computational mechanics as mentioned in this paper is derived from a report prepared by the US National Committee on Theoretical and Applied Mechanics, which is part of that committee's agenda to develop position papers on research directions in various areas of mechanics.

Journal ArticleDOI
TL;DR: In this article, a large amplitude vibration analysis of pre-stressed functionally graded material (FGM) laminated plates is presented, which are composed of a shear deformable functionally graded layer and two surface-mounted piezoelectric actuator layers.

Journal ArticleDOI
TL;DR: In this article, the shape of an acoustic horn is optimized with respect to its ability to provide impedance matching to the surrounding air, and the resulting minimization problem is solved using a BFGS quasi-Newton algorithm.

Journal ArticleDOI
TL;DR: In this article, a back propagation artificial neural network (BP ANN) is proposed as a tool for numerical modelling of the constitutive behaviour of a physically non-linear body, and the training process of the ANN using experimental data is discussed in details and illustrated with an example.

Journal ArticleDOI
TL;DR: In this article, the authors presented a computerized design, methods for generation, simulation of meshing, and enhanced stress analysis of modified involute helical gears based on conjugation of double-crowned pinion with a conventional helical involute gear.

Journal ArticleDOI
TL;DR: A residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems is presented.

Journal ArticleDOI
TL;DR: T theoretical results are presented that demonstrate that the use of properly layer-adapted meshes yields robust methods, i.e., methods that perform equally well no matter how dominant the convection.

Journal ArticleDOI
TL;DR: In this article, the authors address several issues pertaining to efficiency of the computational approach geared towards modeling of inelastic behavior of a heterogeneous structure, which is represented by a multi-scale model.

Journal ArticleDOI
TL;DR: In this paper, a new finite element formulation of the geometrically exact finite-strain beam theory is presented, in which the governing equations of the beam element are derived in a non-linear configuration space.