scispace - formally typeset
Search or ask a question

Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2013"


Journal ArticleDOI
TL;DR: This work extends the definition of analysis-suitable T-splines to encompass unstructured control grids and develops basis functions which are smooth (rational) polynomials defined in terms of the Bezier extraction framework and which pass standard patch tests.

366 citations


Journal ArticleDOI
TL;DR: In this article, the authors discuss the application of virtual elements to linear plate bending problems, in the Kirchhoff-love formulation, and show that the treatment of the C 1 -continuity condition is much easier than for traditional finite elements.

319 citations


Journal ArticleDOI
TL;DR: An adaptive isogeometric collocation method is explored that is based on local hierarchical refinement of NURBS basis functions and collocation points derived from the corresponding multi-level Greville abscissae, and introduces the concept of weighted collocation that can be consistently developed from the weighted residual form and the two-scale relation of B-splines.

262 citations


Journal ArticleDOI
TL;DR: In this paper, a hierarchical family of isogeometric shell finite elements based on NURBS shape functions is presented, where a hierarchic difference vector which accounts for shear deformations is superimposed onto the rotated Kirchhoff-love type of the deformed configuration.

233 citations


Journal ArticleDOI
TL;DR: In this paper, the authors describe coupled algorithms that use the Extended Finite Element Method (XFEM) to solve the elastic crack component of the elasto-hydrodynamic equations that govern the propagation of hydraulic fractures in an elastic medium.

212 citations


Journal ArticleDOI
TL;DR: In this article, an isogeometric analysis via B-splines of space rods under Kirchhoff-love hypotheses is presented for 3D exact curve elements with geometric torsion.

212 citations


Journal ArticleDOI
TL;DR: In this article, the diffusion-based smoothing algorithm of Lind et al. has been applied to body-water slam and wave-body impact problems and discover that temporal pressure noise can occur for these applications (while spatial noise is effectively eliminated).

199 citations


Journal ArticleDOI
TL;DR: In this paper, a singular edge-based smoothed finite element method (sES-FEM) is proposed for mechanics problems with singular stress fields of arbitrary order, which uses a basic mesh of three-noded linear triangular (T3) elements and a special layer of fivenoded singular triangular elements (sT5) connected to the singular point of the stress field.

189 citations


Journal ArticleDOI
TL;DR: In this paper, a variable resolution method using particle splitting and coalescing for the SPH numerical solution of the Navier-Stokes equations is presented, which is based on the variational principle guaranteeing that both mass and momentum are conserved for particles with different smoothing lengths.

187 citations


Journal ArticleDOI
TL;DR: In this article, a non-probabilistic reliability model is given for structures with convex model uncertainty, which is defined as a ratio of the multidimensional volume falling into the reliability domain to the one of the whole model.

174 citations


Journal ArticleDOI
TL;DR: In this paper, a tensor-product B-spline representation is used to represent the density field and the design space is restricted to the Bspline space without extraneous filtering or penalty.

Journal ArticleDOI
TL;DR: The capabilities of the FSI solver are demonstrated by simulating the first fully three-dimensional fluid–structure interaction of tissue valves implanted in the aortic position during systole under physiologic flow conditions, and it is observed that the flow’s threefold symmetry breaks during the early systoles, questioning the three fold symmetry assumption of previous simulations.

Journal ArticleDOI
TL;DR: In this paper, a nonlinear analysis for functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plates using the element-free kp-Ritz method is presented.

Journal ArticleDOI
TL;DR: In this paper, a new isogeometric shell formulation that blends Kirchhoff-love theory with Reissner-Mindlin theory is proposed to reduce the size of equation systems by eliminating rotational degrees of freedom while simultaneously providing a general and effective treatment of kinematic constraints.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the use of kriging for real-time hurricane risk assessment for the Hawaiian Islands, focusing in the region around Oahu, and proposed an approach to evaluate risk during an incoming event and prior to the hurricane making landfall.

Journal ArticleDOI
TL;DR: An isogeometric Reissner-Mindlin shell derived from the continuum theory is presented and the improved accuracy yields considerable savings in computation cost for a predefined error bound.

Journal ArticleDOI
TL;DR: This work presents a new methodology, based on the Laplace approximation for the integration of the posterior probability density function (pdf), to accelerate the estimation of the expected information gains in the model parameters and predictive quantities of interest.

Journal ArticleDOI
TL;DR: In this article, a multiphase incompressible smoothed particle hydrodynamics method with an improved interface treatment procedure is presented, which includes the usage of different smoothing functions (in this work, cubic spline kernel function for discretizing equations associated with the calculation of the surface tension force while the quintic spline for the discretization of governing equations and the relevant boundary conditions).

Journal ArticleDOI
TL;DR: In this article, a reduced basis method for the computer assisted homogenization of microheterogeneous materials is proposed, where the evolution of the new internal variables is derived from a mixed incremental variational formulation.

Journal ArticleDOI
TL;DR: A novel technique is presented to facilitate the implementation of hierarchical b-splines and their interfacing with conventional finite element implementations and is applied to convergence studies of linear and geometrically nonlinear problems in one, two and three space dimensions.

Journal ArticleDOI
TL;DR: In this article, an extended isogeometric boundary element method (XIBEM) is presented, which uses partition-of-unity enriched NURBS functions, which provides benefits which surpass those of both the IGABEM and the PU-BEM.

Journal ArticleDOI
TL;DR: It is shown that coupling domain decomposition and projection-based model order reduction permits to focus the numerical effort where it is most needed: around the zones where damage propagates.

Journal ArticleDOI
TL;DR: In this paper, the authors describe two XFEM schemes for modeling fluid driven fractures, both of which exploit an implicit level set algorithm (ILSA) for locating the singular free boundary that occurs when the fluid and fracture fronts coalesce.

Journal ArticleDOI
TL;DR: It is shown that mixed collocation schemes are locking-free independently of the choice of the polynomial degrees for the unknown fields, and an important property is also analytically proven.

Journal ArticleDOI
TL;DR: A general K–S formulation providing an approximation to the feasible region restricted by active constraints is presented, which can achieve reasonable solutions with a high computational efficiency in handling large-scale stress constrained topology optimization problems.

Journal ArticleDOI
TL;DR: In this paper, a coupling law between the Lattice Boltzmann Method (LBM) for fluids and the Discrete Element Method (DEM) is introduced to study problems involving the interaction between fluids and solid (rigid) structures.

Journal ArticleDOI
TL;DR: In this paper, a three-dimensional micro-mechanical crystal-level model for the analysis of intergranular degradation and failure in polycrystalline materials is presented.

Journal ArticleDOI
TL;DR: An approach to incorporate classical continuum damage models in the state-based theory of peridynamics has the advantage of enabling the description of the damage evolution process in perid dynamics according to well-established models.

Journal ArticleDOI
TL;DR: The accuracy and conditioning of the Stable Generalized FEM (SGFEM) is investigated and it is shown that it is necessary to enrich additional nodes when the crack line is located along element edges in 2-D, which depends on the definition of the enrichment functions at the crack discontinuity.

Journal ArticleDOI
TL;DR: A hierarchical multiscale design framework that couples computational homogenization with topology optimization to design a composite structure’s microstructure to optimize its nonlinear elastostatic behavior and resolves with a scalable parallel framework based on a single-program-multiple-data programming paradigm.