A phase field model for damage in elasto-viscoplastic materials

被引:79
作者
Shanthraj, P. [1 ,2 ]
Sharma, L. [1 ,3 ]
Svendsen, B. [1 ,4 ]
Roters, F. [1 ]
Raabe, D. [1 ]
机构
[1] Max Planck Inst Eisenforsch GmbH, Max Planck Str 1, D-40237 Dusseldorf, Germany
[2] Rhein Westfal TH Aachen, AICES, Schinkelstr 2, D-52062 Aachen, Germany
[3] Eindhoven Univ Technol, Dept Mech Engn, POB 513, NL-5600 MB Eindhoven, Netherlands
[4] Rhein Westfal TH Aachen, Mat Mech, Schinkelstr 2, D-52062 Aachen, Germany
关键词
Phase field; Viscoplasticity; Fracture; Finite deformation; BRITTLE-FRACTURE; CRACK-PROPAGATION; NUMERICAL EXPERIMENTS; VARIATIONAL APPROACH; DEFORMATION; FORMULATION; NUCLEATION; PLASTICITY; SOLIDS; DUCTILE;
D O I
10.1016/j.cma.2016.05.006
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A phase field method for brittle fracture is formulated for a finite strain elasto-viscoplastic material using a novel obstacle phase field energy model. The obstacle energy model results in a crack profile with compact support, and thus gives a physically realistic description of the material behaviour at the vicinity of the crack tip. The resulting variational inequality is discretised by a finite element method, and is efficiently solved using a reduced space NEWTON method. The solution, accuracy and numerical performance of this method is compared with a conventional phase field energy model for brittle fracture through representative examples, and a significant reduction in the numerical solution cost is demonstrated. (C) 2016 Elsevier B.V. All rights reserved.
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页码:167 / 185
页数:19
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