Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2009"

TL;DR: A state-of-the-art review of past and recent developments in the SFEM area and indicating future directions as well as some open issues to be examined by the computational mechanics community in the future are provided.

TL;DR: In this article, a nonlinear Kirchhoff-love shell element is developed on the basis of the isogeometric approach, which is discretized by displacement degrees of freedom only.

TL;DR: In this article, a generalization of the power-law distribution presented in literature is proposed for the volume fraction of conical shells, where materials are assumed to be isotropic and inhomogeneous through the thickness direction.

TL;DR: This paper presents the first three-dimensional, patient- specific fluid–structure interaction simulation of LVADs, a patient-specific configuration in which the LVAD is implanted in the descending thoracic aorta.

TL;DR: This paper investigates the approximation properties of the k-method with the theory of Kolmogorov n-widths and conducts a numerical study in which the n- width and sup–inf are computed for a number of one-dimensional cases.

TL;DR: In this paper, a continuous mapping between a fixed reference configuration and the time varying domain is introduced, by writing the Navier-Stokes equations as a conservation law for the independent variables in the reference configuration.

TL;DR: In this paper, the authors proposed a stabilized explicit coupling scheme for fluid-structure interaction problems involving a viscous incompressible fluid, which is based on Nitsche's method with a time penalty term giving L^2-control on the fluid pressure variations at the interface.

TL;DR: A new computational framework is presented that brings together recent advances in computational biosolid and biofluid mechanics that can exploit new information on the biology of vascular growth and remodeling as well as in vivo patient-specific medical imaging so as to enable realistic simulations of vascular adaptations, disease progression, and clinical intervention.

TL;DR: In this article, a finite element method for incompressible (or compressible) elasticity problems with discontinuous modulus of elasticity was proposed, where the problem is written on mixed form using P1-continuous displacements and elementwise P0 pressures.

TL;DR: In this paper, a non-probabilistic reliability-based topology optimization method for the design of continuum structures undergoing large deformation is presented. But the authors do not consider the nonlinearity of the structural system.

TL;DR: In this article, a methodology is proposed for restricting the minimum length scale of each material phase used in the design, allowing a designer to prescribe a minimum allowable length scale for structural members (solid phase) as well as the minimum allowable size of holes (void phase).

TL;DR: In this paper, the grad-div stabilization for the incompressible Navier-Stokes finite element approximations is considered from two different viewpoints: (i) as a variational multiscale approach for the pressure subgrid modeling and (ii) as stabilization procedure of least-square type.

TL;DR: The need for research that synthesizes complementary advances in molecular biology, biomechanics, medical imaging, computational methods, and computing power for purposes of increasing understanding of vascular physiology and pathophysiology as well as improving the design of medical devices and clinical interventions, including surgical procedures is emphasized.

TL;DR: In this paper, an incompressible Smoothed Particle Hydrodynamics (SPH) method is proposed for simulation of fluid-structure interaction problems, deploying the pressure Poisson equation to satisfy incompressibility constraints.

TL;DR: In this paper, an Isogeometric analysis for trimmed CAD surfaces in 2D linear elasticity problem is presented, where the information on the trimming curves and trimmed surfaces exported from CAD system is directly utilized for analysis.

TL;DR: The results show that the interaction between the blood flow and arterial deformation alters the hemodynamic forces acting on the arterial wall and the interaction strongly depends on the individual aneurysm shapes, which reinforces the importance of FSI in patient-specific analysis of cerebralAneurysms.

TL;DR: This work presents several globally conservative interpolation operators between general unstructured meshes via the construction of an intermediate supermesh by transforming the problem to the input to a constrained meshing problem.

TL;DR: Three iterative methods for solving the stationary Navier–Stokes equations are considered, which are stability and convergence under the strong uniqueness conditions, where the iterative method II is the second order convergence.

TL;DR: In this paper, the authors proved that the efficiency of the estimators is robust with respect to the polynomial degrees of the degrees of a tensor product element, based on a conjecture.

TL;DR: The analysis and the implementation of two finite element (FE) algorithms for the deterministic numerical solution of elliptic boundary value problems with stochastic coefficients yield deterministic approximations of the random solutions joint pdf’s that converge spectrally in the number of deterministic problems to be solved.

TL;DR: In this article, a face-based smoothed finite element method (FS-FEM) using tetrahedral elements was proposed to improve the accuracy and convergence rate of the existing standard FEM for the solid mechanics problems.

TL;DR: In this article, an immersed boundary method for simulation of fluid-flexible structure interaction has been proposed, where an efficient Navier-Stokes solver adopting the fractional step method and a staggered Cartesian grid system is used to solve the incompressible fluid motion in an Eulerian domain.

TL;DR: A maximum likelihood estimation (MLE) approach is developed for estimating the distributional properties of the randomly varying parameters which, in a sense, calibrates them to provide the best agreement between physical and computer observations.

TL;DR: The proposed wetting and drying treatment for the piecewise linear Runge–Kutta discontinuous Galerkin approximation to the shallow water equations takes a fixed mesh approach as opposed to mesh adaptation techniques and applies a post-processing operator to ensure the positivity of the mean water depth within each finite element.

TL;DR: In this article, an edge-based smoothed finite element method (ES-FEM) is proposed for analyzing acoustic problems using linear triangular and tetrahedron elements that can be generated automatically, respectively, for complicated two-dimensional and three-dimensional domains.

TL;DR: In this paper, an unstructured high-resolution, node-centered finite volume algorithm for triangular grids is developed in order to simulate unsteady, two-dimensional, shallow water flows over arbitrary topography with wetting and drying.

TL;DR: The method is shown to be very efficient for many challenging fluid-structure interaction problems, such as those characterized by a large added-mass effect or by enclosed fluids, and the possibility to solve balloon-type problems without any special treatment makes this algorithm very appealing compared to the computationally intensive existing approaches.

TL;DR: In this paper, a partitioned procedure for fluid-structure interaction problems in which contacts among different deformable bodies can occur is presented. But the authors do not consider the nonpenetration among solid objects and use an internal approximation algorithm that is able to handle the cases of thin structures and self-contacts.

TL;DR: In this paper, the coupling material point method (CMPMM) was used to predict the dynamic responses of saturated soil and solid bodies. But the authors did not consider the impact analysis of saturated porous media.

TL;DR: In this paper, a Lagrange multiplier method is proposed to solve 2D Coulomb frictional contact problems in the context of large deformations, where the constraints are imposed in a weak integral sense along the contact surface.