Showing papers in "Computer Methods in Applied Mechanics and Engineering in 2016"

TL;DR: A new computing paradigm is developed, which is referred to as data-driven computing, according to which calculations are carried out directly from experimental material data and pertinent constraints and conservation laws, thus bypassing the empirical material modeling step of conventional computing altogether.

TL;DR: In this paper, a cubic degradation function was proposed to provide a stress-strain response prior to crack initiation, which more closely approximates linear elastic behavior, and a derivation of the governing equations in terms of a general energy potential from balance laws that describe the kinematics of both the body and phase-field.

TL;DR: In this article, a nonintrusive projection-based model reduction approach for full models based on time-dependent partial differential equations is presented, which is applicable to full models that are linear in the state or have a low-order polynomial nonlinear term.

TL;DR: A mechanistic, data-driven, two-scale approach is developed for predicting the behavior of general heterogeneous materials under irreversible processes such as inelastic deformation and is believed to open new avenues in parameter-free multi-scale modeling of complex materials, and perhaps in other fields that require homogenization of irreversible processes.

TL;DR: In this article, a macroscopic framework is proposed for a continuum phase field modeling of fracture in porous media, which provides a rigorous geometric approach to a diffusive crack modeling based on the introduction of a constitutive balance equation for a regularized crack surface and its modular linkage to a Darcy-Biot type bulk response of hydro-poro-elasticity.

TL;DR: Robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications are developed.

TL;DR: In this paper, a phase-field model of crack regularization was proposed for elastic and elasto-plastic materials, where two independent phase fields correspond to the lower and upper faces of the shell.

TL;DR: In this article, an explicit topology optimization approach based on moving morphable components with curved skeletons (central lines) is proposed, which is achieved by constructing the topology description function (TDF) which describes the geometry of a structural component with curved skeleton explicitly in an elegant way.

TL;DR: In this paper, a smoothed displacement jump approximation is introduced by means of level-set functions to overcome the issue of pixelized interfaces in voxel-based models, which allows interaction between bulk and interface cracks, and for arbitrary geometries and interactions between cracks.

TL;DR: In this paper, the peridynamic equations of motion were recast by recasting Navier's displacement equilibrium equations into their nonlocal form by introducing the per-idynamic differential operator, which permits the non-local form of expressions for the determination of the stress and strain components.

TL;DR: In this article, the diffusion equation for the phase-field can be conceived as a special case of the averaging equation of a gradient-damage model where the damage is averaged, and subtle differences in the degradation functions commonly adopted in damage and phase field approaches are key to the observation that the fracture process zone does not broaden in the wake of the crack tip.

TL;DR: An efficient discretization method for the solution of the unsteady incompressible Navier–Stokes equations based on a high order (Hybrid) Discontinuous Galerkin formulation is presented and the performance on two and three dimensional benchmark problems is demonstrated.

TL;DR: This work proposes a faster and equally accurate approach for quasi-static phase-field computing of (brittle) fracture using a monolithic solution scheme which is accompanied by a novel line search procedure to overcome the iterative convergence issues of non-convex minimization.

TL;DR: In this article, a modified peridynamic correspondence material model was proposed to avoid zero-energy mode instability in a peridynamics particle code, where a term was added to the correspondence strain energy density that resists deviations from a uniform deformation.

TL;DR: This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that the authors can collocate in the second half of '90s) to their days, and details the most popular numerical algorithms for the solution of the coupled problems.

TL;DR: Dalcin et al. as mentioned in this paper presented a study on metodos computacionales in the context of the CONICET project of the Centro Cientifico Tecnologico Conicet.

TL;DR: A new class of unfitted finite element methods with high order accurate numerical integration over curved surfaces and volumes which are only implicitly defined by level set functions is introduced.

TL;DR: In this paper, a postbuckling analysis of carbon nanotube (CNT) reinforced functionally graded plates with edges elastically restrained against translation and rotation is presented, to the best of our knowledge.

TL;DR: This paper analyzes several iterative solution schemes for solving matrix systems that result from discretization and linearization of the governing equations and highlights the fundamental connections that underlie their effectiveness.

TL;DR: In this article, a Reduced Order Model (ROM) was proposed for CFD applications based on Finite Volume approximation, starting from the results available in turbulent Reynold-Averaged Navier-Stokes simulations in order to enlarge the application field of Proper Orthogonal Decomposition-Reduced Order Models (POD-ROM) technique to more industrial fields.

TL;DR: In this article, the phase field is defined as a two-dimensional field on the midsurface of the structure and the variation of strains through the shell thickness is considered and the split into tensile and compressive elastic energy components, needed to prevent cracking in compression, has to be carried out at various points through the thickness.

TL;DR: In this article, a coupled continuous/discontinuous approach is proposed to model the two failure phases of quasi-brittle materials in a coherent way, which involves an integral-type nonlocal continuum damage model coupled with an extrinsic discrete interface model.

TL;DR: In this article, an efficient multi-material topology optimization strategy for seeking the optimal layout of structures considering the cohesive constitutive relationship of the interface is presented. But, the interface behavior may exhibit tension/compression non-symmetric topology, in which material interfaces mainly undergo compression.

TL;DR: In this article, a composite truncated conical shell with embedded single-walled carbon nanotubes (SWCNTs) subjected to an external pressure and axial compression simultaneously is considered.

TL;DR: In this article, a local/nonlocal coupling technique called the morphing method is developed to couple classical continuum mechanics with state-based peridynamics, which enables the description of cracks that appear and propagate spontaneously, is applied to the key domain of a structure.

TL;DR: In this article, a similarity transformation is used to convert the governing momentum and energy equations into non-linear ordinary differential equations with the appropriate boundary conditions, which are solved analytically by Duan-Rach approach.

TL;DR: Numerical examples demonstrate that the method is able to deliver highly accurate domain integrals with a minimal number of quadrature points and provides a viable alternative to standard octree-based approaches when combined with the Finite Cell Method.

TL;DR: By exploiting a multilevel control structure, truncated hierarchical B-spline representations support interactive modeling tools, while simultaneously providing effective approximation schemes for the manipulation of complex data sets and the solution of partial differential equations via isogeometric analysis.

TL;DR: In this article, the authors investigated fracture in shells with a phase-field modeling approach, which is based on solid-shell kinematics with small rotations and displacements and is discretized using quadratic non-uniform rational B-spline basis functions.

TL;DR: This is the first study on layout design of multiple engineering features using level-set functions (LSFs) and Boolean operations and numerical examples are tested to demonstrate the validity and merits of the proposed feature-driven topology optimization for complicated design problems.