Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2012"

TL;DR: It is shown that the combination of the phase-field model and local adaptive refinement provides an effective method for simulating fracture in three dimensions.

TL;DR: It is shown that hierarchical refinement considerably increases the flexibility of this approach by adaptively resolving local features of NURBS, which combines full analysis suitability of the basis with straightforward implementation in tree data structures and simple generalization to higher dimensions.

TL;DR: In this paper, an Isogeometric Boundary Element Method (BEM) is applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS).

TL;DR: In this article, two new closure models for the proper orthogonal decomposition reduced-order modeling of structurally dominated turbulent flows are proposed: the dynamic subgrid-scale model and the variational multiscale model.

TL;DR: In this article, the authors developed a framework for fluid-structure interaction (FSI) modeling and simulation with emphasis on isogeometric analysis (IGA) and non-matching fluid -structure interface discretizations.

TL;DR: It is shown that SGFEM retains the excellent convergence properties of GFEM, does not require a ramp-function in the presence of blending elements, and the conditioning of the associated stiffness matrix is not worse than that of the standard FEM.

TL;DR: In this paper, a peridynamics model for fiber-reinforced composites is proposed to simulate dynamic brittle fracture and damage in unidirectional fiber reinforced composites.

TL;DR: In this paper, the large amplitude vibration behavior of nanocomposite cylindrical shells reinforced by single-walled carbon nanotubes (SWCNTs) in thermal environments is investigated.

TL;DR: A sparse pseudospectral approximation method that accurately reproduces the coefficients for basis functions that naturally correspond to the sparse grid integration rule by reexamining Smolyak's algorithm and exploiting the connections between interpolation and projection in tensor product spaces.

TL;DR: In this article, the authors developed new quadrature rules for isogeometric analysis based on the solution of a local nonlinear problem, which are exact for important B-spline spaces of uniform and geometrically stretched knot spacings.

TL;DR: In this article, a strain smoothing procedure for the extended finite element method (XFEM) is presented, which is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM.

TL;DR: In this paper, the authors extend the development of collocation methods within the framework of Isogeometric Analysis (IGA) to multi-patch NURBS configurations, various boundary and patch interface conditions, and explicit dynamic analysis.

TL;DR: The possibility to directly couple the finite cell method to CSG, without any necessity for meshing the three-dimensional domain, is discussed, and a combination of the best of the two approaches IGA and FCM is explored, closely following ideas of the recently introduced shell FCM.

TL;DR: In-plane–out-of-plane separated representation of the involved fields within the context of the Proper Generalized Decomposition allows solving the fully 3D model by keeping a 2D characteristic computational complexity, without affecting the solvability of the resulting multidimensional model.

TL;DR: This work proposes a weighting that results in an estimate for the stabilization parameter such that the method remains well behaved in varied settings; ranging from the configuration of embedded interfaces resulting in arbitrarily small elements to such cases where a large contrast in material properties exists.

TL;DR: The aim of the present work is to improve the ability of DEM to simulate the continuous part of the material using cohesive bond model, and simulates, using a discrete element model, any material defined by a Young's modulus, Poisson's ratio and density, to fit the static and dynamic mechanical behavior of thematerial.

TL;DR: It is demonstrated that the training of a sufficiently accurate NN meta-model in the context of SS simulation leads to more robust estimations of the probability of failure both in terms of mean and variance of the estimator.

TL;DR: In this paper, a three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS is presented in the finite deformation regime, where the contact integrals are evaluated through a mortar approach where the geometrical and frictional contacts constraints are treated through a projection to control point quantities.

TL;DR: A novel method to construct solid rational T-splines for complex genus-zero geometry from boundary surface triangulations using a parametric mapping between the triangulation and the boundary of the parametric domain, a unit cube.

TL;DR: In this paper, an approach to couple the discretized peridynamics and finite element method (FEM) is proposed to take advantage of the generality of peridynamic and the computational efficiency of FEM.

TL;DR: In this article, a local reconstruction technique using a geometric basis is developed and applied to evaluate the finite element constituents of the trimmed knot spans in terms of the underlying control variables, which gives rise to a new feature in the case of load application, what we refer to as Isogeometric Load Design.

TL;DR: In this paper, the authors considered both mixed and displacement-based methods for the Timoshenko beam problem and showed that locking-free solutions are obtained for mixed methods independently on the approximation degrees selected for the unknown fields.

TL;DR: In this article, a new material model is proposed for the description of stress-softening observed in cyclic tension tests of collagenous soft tissues such as arterial walls, for applied loads beyond the physiological level.

TL;DR: In this paper, a weakly-compressible MPS (WC-MPS) formulation is used to solve a single set of equations for all of the phases in a multiphase system, and the model is validated and applied to two basic hydrodynamic instability cases (Rayleigh-Taylor and Kelvin-Helmholtz instabilities).

TL;DR: Higher order finite element methods with polynomial degrees p>2 are proposed and their capabilities are verified to verify their capabilities with respect to accuracy and numerical performance in Structural Health Monitoring applications.

TL;DR: In this paper, a second-order time-accurate and unconditionally stable algorithm for the phase field crystal equation is proposed, which is shown to be stable with respect to the energy functional.

TL;DR: In this paper, a spectral stochastic approach for the representation and propagation of uncertainties with an existing deterministic topology optimization technique is proposed, which combines the spectral-stochastic approach and the deterministic approach.

TL;DR: A new IsogEometric Tearing and Interconnecting (IETI) method is proposed and exact geometry representation of IGA and solver design of FETI methods are combined.

TL;DR: It is concluded that for a fixed number of unknowns and polynomial degree of approximation, a higher degree of continuity k drastically increases the CPU time and RAM needed to solve the problem when using a direct solver.

TL;DR: In this article, the authors report on the mathematical analysis of two different, FFT-based, numerical schemes for homogenization of composite media within the framework of linear elasticity: the basic scheme of Moulinec and Suquet (1994, 1998) and the energy-based scheme of Brisard and Dormieux (2010) [13].