Peridynamic Galerkin method: an attractive alternative to finite elements

نویسندگان

چکیده

Abstract This work presents a meshfree particle scheme designed for arbitrary deformations that possess the accuracy and properties of Finite-Element-Method. The is maintained even with distributions. Mesh-based methods mostly fail if requirements on location evaluation points are not satisfied. Hence, this new only range loadings can be increased but also pre-processing step facilitated compared to FEM. key method lies in fulfillment essential spatial discretization schemes. approach based correspondence theory Peridynamics. Some modifications framework allows consistent stable formulation. By applying peridynamic differentiation concept, it shown equations derived from weak form. Likewise, demonstrated special moving least square shape functions Kronecker- $$\delta $$ δ property. Thus, Dirichlet boundary conditions directly applied. positive performance method, especially comparison Finite-Element-Method, calculation several test cases. In order guarantee fair enhanced finite element formulations used. cases include patch test, an eigenmode analysis as well investigation context large deformations.

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ژورنال

عنوان ژورنال: Computational Mechanics

سال: 2022

ISSN: ['0178-7675', '1432-0924']

DOI: https://doi.org/10.1007/s00466-022-02202-w