Premium
Assembly and Solution of the High‐Fidelity Generalized Method of Cells with Interface Damage
Author(s) -
Schmerbauch Mario,
Matzenmiller Anton
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610262
Subject(s) - interface (matter) , nonlinear system , finite element method , stiffness , high fidelity , fidelity , set (abstract data type) , surface (topology) , newton's method , mathematical analysis , mathematics , materials science , computer science , physics , structural engineering , geometry , engineering , composite material , acoustics , telecommunications , quantum mechanics , capillary number , capillary action , programming language
The assembly of the system of equations and its solution are presented for the High‐Fidelity Generalized Method of Cells (HFGMC) with interface damage. The direct stiffness assembly, which is used in the Finite Element Method with its unknown nodal displacements, is applied to the HGFMC. The nonlinear set of equations due to damage is solved with Newton's Method for the microscopic surface‐averaged displacements, which are the unknowns in the efficient version of the HFGMC. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)