Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2010"

TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.

TL;DR: T-splines, a generalization of NURBS enabling local refinement, have been explored as a basis for isogeometric analysis in this paper, and they have shown good results on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases.

TL;DR: In this paper, a new robust and efficient approach for modeling discrete cracks in mesh-free methods is described, where the crack is modeled by splitting particles located on opposite sides of the associated crack segments and make use of the visibility method in order to describe the crack kinematics.

TL;DR: In this paper, a Reissner-Mindlin shell formulation based on a degenerated solid is implemented for NURBS-based isogeometric analysis and the performance of the approach is examined on a set of linear elastic and nonlinear elasto-plastic benchmark examples.

TL;DR: In this paper, the authors proposed a new topology optimization method, which can adjust the geometrical complexity of optimal configurations, using the level set method and incorporating a fictitious interface energy derived from the phase field method.

TL;DR: In this article, the half-point rule is introduced for NURBS-based isogeometric analysis, indicating that optimal rules involve a number of points roughly equal to half the number of degrees of freedom, or equivalently half the basis functions of the space under consideration.

TL;DR: In this article, an isogeometric formulation for rotation-free thin shell analysis of structures comprised of multiple patches is presented, where structural patches are C1- or higher-order continuous in the interior, and are joined with C0-continuity.

TL;DR: Obeying a few straightforward rules, rectangular patches in the parameter space of the T-splines can be subdivided and thus a local refinement becomes feasible while still preserving the exact geometry.

TL;DR: A new discretization scheme for Maxwell equations in two space dimension based on the use of bivariate B-splines spaces suitably adapted to electromagnetics and provides regular discrete solutions of Maxwell equations.

TL;DR: A new definition of PGD is introduced, called Minimax PGD, which can be interpreted as a Petrov–Galerkin model reduction technique, where test and trial reduced basis functions are related by an adjoint problem, and improves convergence properties of separated representations with respect to a chosen metric.

TL;DR: In this article, the authors combine NURBS-based isogeometric analysis, residual-driven turbulence modeling and weak imposition of no-slip and no-penetration Dirichlet boundary conditions on unstretched meshes to compute wall-bounded turbulent flows.

TL;DR: In this article, the synergy between the LATIN multiscale method and the Proper Generalized Decomposition (PGD) method is discussed, which is the key of its performances.

TL;DR: In this paper, a circular fillet patch is introduced through the appropriate degeneration of a control mesh in order to address the problem of modeling small features in finite element models and is tested with two problems of linear elasticity and is shown to be accurate.

TL;DR: A stress-free model is developed which avoids a number of pitfalls of existing RBC models, such as non-smooth or poorly controlled equilibrium shape and dependence of the mechanical properties on the initial triangulation quality.

TL;DR: A fictitious domain method where the mesh is cut by the boundary where the primal solution is computed only up to the boundary and the solution itself is defined also by nodes outside the domain.

TL;DR: In this paper, the authors present an approach for analytically computing the full sensitivities of both the positions and weights of NURBS control points in structural shape optimization, which is especially beneficial for recovering optimal shapes that are conical e.g. ellipses and circles in 2D, cylinders, ellipsoids and spheres in 3D.

TL;DR: In this article, a numerical simulation of the Navier-Stokes-Korteweg equations, a phase-eld model for water/water vapor two-phase flow, is presented.

TL;DR: The new method, unlike the older approaches, yields optimal estimates for the primal variable in both the element size h and polynomial degree p, and outperforms the standard upwind DG method.

TL;DR: Tezduyar et al. as mentioned in this paper showed that using the element vector-based definition of stabilization parameters circumvents the well-known instability associated with conventional stabilized formulations at small time steps.

TL;DR: A hybridizable discontinuous Galerkin method for Stokes flow that reduces the globally coupled unknowns to the numerical trace of the velocity and the mean of the pressure on the element boundaries, thereby leading to a significant reduction in the size of the resulting matrix.

TL;DR: An edge-based smoothed finite element method (ES-FEM) for static, free vibration and buckling analyses of Reissner-Mindlin plates using 3-node triangular elements is studied in this paper.

TL;DR: In this paper, a 2.5D coupled finite element-boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines is presented.

TL;DR: It is demonstrated that in a similar way as how mesh quality is used in traditional FEA to help characterize the impact of the mesh on analysis, an analogous concept of model quality exists within isogeometric analysis.

TL;DR: In this article, the authors used model reduction (MR) schemes such as the mode superposition (MS), Ritz vector (RV), and quasi-static Ritz Vector (QSRV) to calculate dynamic responses and sensitivity values with adequate efficiency and accuracy for topology optimization in the frequency domain.

TL;DR: In this article, the authors describe the formulation adopted for the numerical simulation of the shaped metal deposition process (SMD) and the experimental work carried out at ITP Industry to calibrate and validate the proposed model.

TL;DR: An implementation of the algorithms for performing accurate nonlinear finite element analysis of brain shift in less than a minute on a personal computer using the new NVIDIA Compute Unified Device Architecture (CUDA) which leads to more than 20 times increase in the computation speed.

TL;DR: The trimmed surface analysis which can treat topologically complex spline surfaces using trimming information provided by CAD systems is employed for structural response analysis and sensitivity calculation in the topology optimization.

TL;DR: The notion of a material change edge is introduced and used to identify the interface between two or several different materials and to improve the quality of tetrahedral meshes and hexahedral mesh quality improvement.

TL;DR: The discrete shear gap (DSG) method, a general framework for formulation of locking-free elements, is applied to develop a new class of NURBS finite elements.

TL;DR: In this article, a node-based smoothed finite element method (NS-FEM) was proposed for the solid mechanics problems, which is further extended to more complicated visco-elastoplastic analyses of 2D and 3D solids using triangular and tetrahedral meshes.