A smooth unloading-reloading approach for the nonlinear finite element analysis of quasi-brittle materials

Alnaas, W. F. and Jefferson, A. D. ORCID: https://orcid.org/0000-0002-2050-2521 2016. A smooth unloading-reloading approach for the nonlinear finite element analysis of quasi-brittle materials. Engineering Fracture Mechanics 152 , pp. 105-125. 10.1016/j.engfracmech.2015.04.018

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Abstract

This paper presents a new method for improving the robustness and convergence characteristics of a finite element damage model for quasi-brittle materials. In this method, a smooth unloading–reloading function (SUR) is employed to compute an approximate tangent matrix in a Newton type solution procedure. A new method is also presented for predicting a converged value of the damage parameter. The performance of the new methods are assessed using a range of idealised quasi-brittle specimens. Results show that the new SUR approaches are robust and result in considerable savings relative to solutions obtained with a secant unloading–reloading function.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Elsevier
ISSN:	0013-7944
Date of Acceptance:	14 April 2015
Last Modified:	06 Nov 2023 14:12
URI:	https://orca.cardiff.ac.uk/id/eprint/73216

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