A meshfree peridynamic model for brittle fracture in randomly heterogeneous materials

Yi‐Ming Fan, Huaiqian You, Xiaochuan Tian, Yang Xiu, Xingjie Li, Naveen Prakash, Yue Yu

Type: Article

Publication Date: 2022-07-18

Citations: 21

DOI: https://doi.org/10.1016/j.cma.2022.115340

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Computer Methods in Applied Mechanics and Engineering - View - PDF
arXiv (Cornell University) - View - PDF

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+	NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS	2012	Tadele Mengesha
+	A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data	2008	Fabio Nobile Raúl Tempone Clayton Webster
+	Simple Cubature Formulas with High Polynomial Exactness	1999	Erich Novak Klaus Ritter
+	High-Order Collocation Methods for Differential Equations with Random Inputs	2005	Dongbin Xiu Jan S. Hesthaven
+	Analysis and Numerical Approximation of an Integro-differential Equation Modeling Non-local Effects in Linear Elasticity	2005	Etienne Emmrich Olaf Weckner
+	An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics	2018	Nathaniel Trask Huaiqian You Yue Yu Michael L. Parks
+ PDF Chat	An asymptotically compatible formulation for local-to-nonlocal coupling problems without overlapping regions	2020	Huaiqian You Yue Yu David Kamensky