Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2011"

TL;DR: Vonoi tessellations are used and are shown to include morphological properties that make them particularly challenging to mesh with high element quality, and the results are mainly illustrated by the high-quality meshing of polycrystals with large number of grains.

TL;DR: An overview of a comprehensive framework is given for estimating the predictive uncertainty of scientific computing applications, which treats both types of uncertainty (aleatory and epistemic), incorporates uncertainty due to the mathematical form of the model, and provides a procedure for including estimates of numerical error in the Predictive uncertainty.

TL;DR: In this article, a smoothed particle hydrodynamics model with numerical diffusive terms is used to analyze violent water flows and boundary conditions on solid surfaces of arbitrary shape are enforced with a new technique based on fixed ghost particles.

TL;DR: The theoretical properties of the spline space are investigated to ensure fundamental properties like linear independence and partition of unity and concepts well-established in finite element analysis are used to fully integrate hierarchical spline spaces into the isogeometric setting.

TL;DR: A local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points is developed and its use as an adaptive framework for isogeometric analysis is demonstrated.

TL;DR: A novel approach for isogeometric analysis of thin shells using polynomial splines over hierarchical T-meshes (PHT-splines) that achieves C1 continuity, so the Kirchhoff–Love theory can be used in pristine form.

TL;DR: In this paper, a Ck-continuous, k⩾-1, NURBS-based shell for large deformations formulated without rotational degrees of freedom is presented.

TL;DR: In this article, the stability and convergence of sequential implicit methods for coupled flow and geomechanics, in which the flow problem is solved first, were analyzed. And the authors employed the von Neumann and energy methods for linear and nonlinear problems, respectively.

TL;DR: This paper presents an algorithm for the local implementation of Galerkin projection of discrete fields between meshes, which extends naturally to three dimensions and is very efficient.

TL;DR: In this article, a knot-to-surface (KTS) algorithm is developed to treat the contact constraints with NURBS contact surface discretizations, which is a viable technology for contact problems and offers potential accuracy as well as convergence improvements over C 0 -continuous finite elements.

TL;DR: The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement and satisfies important properties such as non-negativity, local support and partition of unity.

TL;DR: In this article, a non-probabilistic convex model is proposed to construct the multidimensional ellipsoids on the uncertainty, and a covariance matrix and correlation matrix can be created through all marginal convex models and covariances.

TL;DR: In this article, the authors used the Moving Particle Semi-Implicit (MPS) method to simulate the free-surface motions and impact loads for the dam breaking problem and liquid sloshing inside a rectangular tank.

TL;DR: In this article, a robust approach for the design of macro-, micro-, or nano-structures by means of topology optimization, accounting for spatially varying manufacturing errors is presented.

TL;DR: In this article, the convergence of the Galerkin finite element methods for the peridynamic nonlocal continuum model with jump discontinuities has been investigated, and it is shown that for problems with smooth solutions, continuous and discontinuous piecewise-linear approximations result in the same accuracy as that obtained by continuous piecewise linear approximation for classical models.

TL;DR: In this article, the authors proposed to parametrize the computational domains by planar B-spline surface from the given CAD objects (four boundary planar b-splines curves).

TL;DR: In this article, a stability and convergence analysis of sequential methods for coupled flow and geomechanics is presented, in which the mechanics sub-problem is solved first and the stability depends only on the coupling strength, independent of time step size.

TL;DR: In this paper, the existence of a representative volume element (RVE) for a class of quasi-brittle materials having a random heterogeneous microstructure in tensile, shear and mixed mode loading is demonstrated by deriving traction-separation relations, which are objective with respect to RVE size.

TL;DR: A Cartesian cut-cell method which allows the solution of two- and three-dimensional viscous, compressible flow problems on arbitrarily refined graded meshes is presented and is shown to be second-order accurate in L1.

TL;DR: A bridge between POD-based model order reduction techniques and the classical Newton/Krylov solvers is described, used to derive an efficient algorithm to correct, "on-the-fly", the reduced order modelling of highly nonlinear problems undergoing strong topological changes.

TL;DR: In this article, the authors investigated stress-related topology optimization problems via a level set-based approach and showed that under appropriate problem formulations, the level set approach is a promising tool for stress related optimization problems.

TL;DR: In this paper, a scalable algorithm for modeling dynamic fracture and fragmentation of solids in 3D is presented, based on a combination of a discontinuous Galerkin (DG) formulation of the continuum problem and cohesive zone models (CZM) of fracture.

TL;DR: A scheme with consistent filtering to introduce a length scale and thereby ensure smoothness in shape optimization while preserving the advantages of the independent node movement approach is proposed.

TL;DR: This method is well suited for a topology optimization problem with a design domain containing higher-order elements or non-quadrilateral elements and has the ability to yield mesh-independent solutions if the radius of the influence domain is reasonably specified.

TL;DR: A B-spline finite element method is introduced, which circumvents parameterization of interfaces and offers fast and easy meshing irrespective of the geometric complexity involved, and can be used to transfer the recently introduced Finite Cell concept to geometrically nonlinear problems.

TL;DR: An isogeometric framework for the numerical analysis of contact problems using NURBS as basis for geometric representation and analysis, which eliminates at the onset the geometric discontinuities induced by the traditional faceted approximation.

TL;DR: A consistent error estimator for numerical simulations performed by means of the proper generalized decomposition (PGD) approximation, which enables to capture all error sources and leads to guaranteed bounds on the exact error.

TL;DR: In this paper, numerical solutions for flow over an airfoil and a square obstacle using Incompressible Smoothed Particle Hydrodynamics (ISPH) method with an improved solid boundary treatment approach, referred to as the Multiple Boundary Tangents (MBT) method.

TL;DR: In this article, a method to evaluate the static response of structures with interval axial stiffnesses is proposed, which overcomes the drawbacks arising in traditional interval analysis due to dependency phenomenon.

TL;DR: A novel wetting–drying method in which the position of the sea bed is allowed to fluctuate in drying areas, which is compatible with fully implicit time-marching schemes, thus reducing the overall computational cost significantly.