TY - JOUR

T1 - A phase field approach for ductile fracture of short fibre reinforced composites

AU - Dean, Aamir

AU - Reinoso, J.

AU - Jha, N. K.

AU - Mahdi, E.

AU - Rolfes, Raimund

N1 - Funding information: The authors gratefully acknowledge the financial support of the German Research Foundation (DFG) in the course of the priority program 1640 joining by plastic deformation ( SPP 1640 ) with contract No. RO 706/6-3 . The authors would also like to thank the project partners Nenad Grbic and Bernd-Arno Behrens (IFUM) of project C1 and B2 of the SPP1640 for the constructive cooperation on the topic. The authors are also thankful to the support of Consejería de Economía y Conocimiento of the Junta de Andalucía (Spain) under the contract US-1265577: Programa Operativo FEDER Andalucíía 2014-2020. The authors gratefully acknowledge the financial support of the German Research Foundation (DFG) in the course of the priority program 1640 joining by plastic deformation (SPP 1640) with contract No. RO 706/6-3. The authors would also like to thank the project partners Nenad Grbic and Bernd-Arno Behrens (IFUM) of project C1 and B2 of the SPP1640 for the constructive cooperation on the topic. The authors are also thankful to the support of Consejer?a de Econom?a y Conocimiento of the Junta de Andaluc?a (Spain) under the contract US-1265577: Programa Operativo FEDER Andaluc??a 2014-2020.

PY - 2020/4

Y1 - 2020/4

N2 - Fracture events in short fibre reinforced polymer (SFRP) composites are one of the most limiting phenomena for their widespread use in many engineering applications, especially involving lightweight structures. In this investigation, a novel phase field model that accounts for the anisotropic response of SFRPs is outlined from the theoretical and numerical standpoints. The regularized crack surface functional, which characterizes phase field methods, allows overcoming operative difficulties for complex crack topologies in engineering structures. In particular, we exploit an invariant-based phenomenological elasto-plastic material model for the macroscopic response of SFRPs with pressure-dependent behaviour that is consistently coupled with the phase field approach for ductile fracture. The anisotropic character of SFRPs is incorporated into the elasto-plastic and the fracture response. In contrast to previous investigations on the matter, one novel ingredient of the proposed formulation is the use of non-associative anisotropic plastic evolution. The current variational formulation also exploits a modular format with a consistent generalization of the crack driving function for SFRPs. The performance of the current modelling approach is examined by means of representative applications, showing its robustness and reliability.

AB - Fracture events in short fibre reinforced polymer (SFRP) composites are one of the most limiting phenomena for their widespread use in many engineering applications, especially involving lightweight structures. In this investigation, a novel phase field model that accounts for the anisotropic response of SFRPs is outlined from the theoretical and numerical standpoints. The regularized crack surface functional, which characterizes phase field methods, allows overcoming operative difficulties for complex crack topologies in engineering structures. In particular, we exploit an invariant-based phenomenological elasto-plastic material model for the macroscopic response of SFRPs with pressure-dependent behaviour that is consistently coupled with the phase field approach for ductile fracture. The anisotropic character of SFRPs is incorporated into the elasto-plastic and the fracture response. In contrast to previous investigations on the matter, one novel ingredient of the proposed formulation is the use of non-associative anisotropic plastic evolution. The current variational formulation also exploits a modular format with a consistent generalization of the crack driving function for SFRPs. The performance of the current modelling approach is examined by means of representative applications, showing its robustness and reliability.

KW - A. SFRP Composites

KW - B. Fracture

KW - C. Numerical Modelling

KW - D. Finite Element Method (FEM)

KW - E. Phase field modelling

UR - http://www.scopus.com/inward/record.url?scp=85078529265&partnerID=8YFLogxK

U2 - 10.1016/j.tafmec.2020.102495

DO - 10.1016/j.tafmec.2020.102495

M3 - Article

AN - SCOPUS:85078529265

VL - 106

JO - Theoretical and Applied Fracture Mechanics

JF - Theoretical and Applied Fracture Mechanics

SN - 0167-8442

M1 - 102495

ER -