Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2014"

TL;DR: This work derives the thermodynamically consistent governing equations for the fourth-order phase-field model by way of a variational principle based on energy balance assumptions, which leads to higher regularity in the exact phase- field solution, which can be exploited by the smooth spline function spaces utilized in isogeometric analysis.

TL;DR: This work focuses on the linear elasticity equations in three-dimensions and elaborate upon the key concepts underlying the first-order VEM, and presents several numerical studies in order to verify convergence of the VEM and evaluate its performance for various types of meshes.

TL;DR: An implicit implementation of the non-ordinary state-based peridynamics formulation for quasi-static linearly elastic solids is presented in this paper, where emphasis is placed on assessing the accuracy of the numerical scheme in the vicinity of the crack front and other sources of stress concentration.

TL;DR: This paper proposes local refinement strategies for adaptive isogeometric analysis using LR B-splines and investigates its performance by doing numerical tests on well known benchmark cases.

TL;DR: In this paper, the authors revisited concurrent design of material and structure within FE2 nonlinear multiscale analysis framework for structural stiffness maximization at macroscopic scale, design variables are defined at the both scales.

TL;DR: This work proposes an augmented Lagrangian algorithm for the discrete in time and continuous in space phase-field problems and states that for large penalty parameters the algorithm suffers from numerical instabilities in the solution process.

TL;DR: In this paper, a postbuckling analysis of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under axial compression is presented.

TL;DR: An optimization based approach for Discrete Fracture Network simulations is coupled with the Virtual Element Method (VEM) for the space discretization of the underlying Darcy law, with great flexibility in handling rather general polygonal elements.

TL;DR: It is shown that the combination of weak coupling with the finite cell method opens the door for a truly isogeometric treatment of trimmed B-spline and NURBS geometries that eliminates the need for costly reparameterization procedures.

TL;DR: In this article, the spectral approximation properties of finite element and NURBS spaces from a global perspective were studied and it was shown that the L 2 -norm errors for finite element eigenfunctions exhibit pronounced spikes about the transition points between branches of the eigenvalue spectrum.

TL;DR: In this article, an isogeometric boundary element method based on T-splines is used to simulate acoustic phenomena, and the method is verified against closed-form solutions and direct comparisons are made with conventional Lagrangian discretizations.

TL;DR: The FEM and the FCM are more efficient than the EOLE method in evaluating a realization of the random field and are suitable for problems in which the time spent in the evaluation of random field realizations has a major contribution to the overall runtime – e.g., in finite element reliability analysis.

TL;DR: A new variational crime for the nonconforming Crouzeix–Raviart element is proposed, where divergence-free, lowest-order Raviart–Thomas velocity reconstructions reestablish L 2 -orthogonality, allowing to construct a cheap flow discretization for general 2d and 3d simplex meshes that possesses the same advantageous robustness properties like divergence- free flow solvers.

TL;DR: This study proposes a novel statistical method to generate virtual 3D particles with realistically complex yet controllable shapes and further pack them effectively for use in discrete-element modelling of granular materials.

TL;DR: In this article, a new energy interpolation scheme is proposed in order to stabilize the numerical simulations, where elastic energy density in the solid and void regions is interpolated using the elastic energy densities for large and small deformation theory, respectively.

TL;DR: In this article, a large deflection geometrically nonlinear behavior of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under uniform point transverse mechanical loading is studied.

TL;DR: The basic idea is to resort to the level set solution framework and impose constraints on the extreme values of the signed distance level set function used for describing the topology of the structure.

TL;DR: In this paper, a multi-patch implicit G 1 formulation for the analysis of Kirchhoff-love space rod elements is presented, which is based on a polar decomposition of the deformation of the first and last segments of the control polygon, allowing to introduce directly the end rotations as degrees of freedom.

TL;DR: In this paper, a new material model for the dynamic fracture analysis of anisotropic materials has been proposed within the framework of the bond-based peridynamic theory, which enables predicting complex fracture phenomena such as spontaneous crack nucleation and crack branching, curving and arrest.

TL;DR: In this paper, the authors use crystal plasticity finite element (CPFE) models of 2D and 3D polycrystalline microstructures to elucidate 3D topological effects on microstructural evolution during rolling deformation.

TL;DR: In this article, a model-order reduction technique for the solution of the fine-scale equilibrium problem appearing in computational homogenization is presented, where the reduced set of empirical shape functions is obtained using a partitioned version of the Proper Orthogonal Decomposition (POD).

TL;DR: In this article, the authors explore the use of various element-based reduced quadrature strategies for bivariate and trivariate quadratic and cubic spline elements used in isogeometric analysis.

TL;DR: In this article, the authors proposed a more efficient multiscale approach similar to FE2, where nonlinear material effects caused by progressive damage behavior are captured directly on the discretized material level using simple isotropic continuum damage laws.

TL;DR: In this article, a semi-analytical sensitivity weighting scheme was proposed to eliminate the effects of the chosen discretization on the design update. But, the sensitivity weights were not considered in this paper.

TL;DR: In this paper, a new approach for controlling both maximum and minimum length scales of structural members in the Solid Isotropic Material with Penalization (SIMP)-based topology optimization framework is presented.

TL;DR: In this article, a level-set based variational consistent solution framework is proposed for stress-constrained topology optimization of continuum structures involving multi-phase heterogeneous materials.

TL;DR: In this paper, the static and dynamic equilibrium equations are derived in this framework from variational principles and a non-linear interpolation formula using the exponential map is introduced, which leads to a natural coupling in the interpolation of the position and rotation variables.

TL;DR: In this paper, a fractal descriptor is proposed for better characterizing complex pore morphologies, and the reconstruction procedure of a 3D well-connected porous structure is optimized by integrating the improved simulated annealing algorithm and the fractal system control function.

TL;DR: In this paper, T-spline-based analysis is applied to frictionless contact problems between deformable bodies in the context of large deformations, and a Gauss-point-to-surface formulation is combined with the penalty method to treat the contact constraints in the discretized setting.