A smooth Crack-Band Model for anisotropic materials: Continuum theory and computations with the RKPM meshfree method

H Nguyen, J Wang, Y Bazilevs - International Journal of Solids and …, 2024 - Elsevier
Abstract A smooth Crack Band Model (sCBM) is developed for anisotropic materials with
both high and low magnitude of anisotropy. sCBM is primarily used as a regularization …

A stable formulation of correspondence‐based peridynamics with a computational structure of a method using nodal integration

J Wang, M Behzadinasab, W Li… - International Journal for …, 2024 - Wiley Online Library
In this paper, we lay out a variational framework for correspondence‐based peridynamic
(PD) formulations of solid mechanics. Using the framework, we address the numerical …

Vanquishing volumetric locking in quadratic NURBS-based discretizations of nearly-incompressible linear elasticity: CAS elements

H Casquero, M Golestanian - Computational Mechanics, 2024 - Springer
Quadratic NURBS-based discretizations of the Galerkin method suffer from volumetric
locking when applied to nearly-incompressible linear elasticity. Volumetric locking causes …

Learned Gaussian quadrature for enriched solid finite elements

M Yu, S Kim, G Noh - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
We propose a novel Gaussian quadrature, referred to as the learned Gaussian quadrature,
that is obtained by employing a supervised learning algorithm to find improved weights for …

Smoothed naturally stabilized RKPM for non-linear explicit dynamics with novel stress gradient update

J Wang, M Hillman, D Wilmes, J Magallanes… - Computational …, 2024 - Springer
A smoothed naturally stabilized conforming nodal integration (S-NSNI) for the reproducing
kernel particle method (RKPM) is proposed for non-linear explicit dynamics. The Taylor …

Isogeometric smooth crack-band model (isCBM) using spress–sprain relations adapted to microplane theory

H Nguyen, W Li, ZP Bažant, Y Bazilevs - … of the Mechanics and Physics of …, 2023 - Elsevier
Recent optimum fitting of the data from eleven different types of distinctive fracture tests of
quasibrittle materials, including the gap tests and the size effect tests, revealed that the crack …

A subdivision-stabilized B-spline mixed material point method

AA Madadi, B Dortdivanlioglu - Computer Methods in Applied Mechanics …, 2024 - Elsevier
Subjected to external loadings, polymeric materials, eg, biological tissues, hydrogels, and
elastomers, may undergo extreme, nearly incompressible,(self-) contact deformations. For …

An improved formulation for reduced quadrature in computational solid mechanics

W Li, Y Bazilevs - Computational Mechanics, 2023 - Springer
In this paper we develop a modification of the recently proposed Taylor series expansion-
based formulation for computational solids to satisfy a generalized patch test. To achieve …

Isogeometric multilayer thin-shell analysis of failure in composite structures with hygrothermal effects

W Li, H Nguyen, Y Bazilevs - International Journal of Fracture, 2024 - Springer
We develop a computational framework to model damage and delamination in laminated
polymer composite structures incorporating the effects of temperature and moisture content …

Computationally-efficient locking-free isogeometric discretizations of geometrically nonlinear Kirchhoff–Love shells

KD Mathews, H Casquero - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
Discretizations based on the Bubnov-Galerkin method and the isoparametric concept suffer
from membrane locking when applied to Kirchhoff–Love shell formulations. Membrane …