TY - JOUR
T1 - Formulation of a consistent pressure-dependent damage model with fracture energy as input
AU - Arefi, Azam
AU - van der Meer, Frans P.
AU - Forouzan, Mohammad Reza
AU - Silani, Mohammad
PY - 2018/10/1
Y1 - 2018/10/1
N2 - Micromechanical simulation of composite material failure requires a pressure-dependent failure model for the polymeric matrix. Available pressure-dependent damage formulations assume a certain shape of the stress-strain law under uniaxial loading. However, upon close inspection none of the available formulations is able to reproduce the assumed shape. This implies that input values for the fracture energy cannot be recovered exactly. In this paper, a new methodology for developing consistent pressure-dependent damage models for polymeric materials is presented. Using this method the predefined shape of the stress-strain relation of an element with localized deformation under uniaxial tension can be exactly reproduced which enables further to recover the exact amount of energy dissipation consistent with the input toughness. The methodology is demonstrated for two different softening laws, namely linear and exponential softening. These models are applied to the damage analysis of unidirectional continuous fiber-reinforced composites. The formulation is validated by simulation of a test for Mode-I fracture energy characterization and comparing the load-displacement response with that obtained with cohesive elements.
AB - Micromechanical simulation of composite material failure requires a pressure-dependent failure model for the polymeric matrix. Available pressure-dependent damage formulations assume a certain shape of the stress-strain law under uniaxial loading. However, upon close inspection none of the available formulations is able to reproduce the assumed shape. This implies that input values for the fracture energy cannot be recovered exactly. In this paper, a new methodology for developing consistent pressure-dependent damage models for polymeric materials is presented. Using this method the predefined shape of the stress-strain relation of an element with localized deformation under uniaxial tension can be exactly reproduced which enables further to recover the exact amount of energy dissipation consistent with the input toughness. The methodology is demonstrated for two different softening laws, namely linear and exponential softening. These models are applied to the damage analysis of unidirectional continuous fiber-reinforced composites. The formulation is validated by simulation of a test for Mode-I fracture energy characterization and comparing the load-displacement response with that obtained with cohesive elements.
KW - Composites
KW - Fracture energy
KW - Micromechanics
KW - Polymers
KW - Pressure-dependent damage
UR - http://www.scopus.com/inward/record.url?scp=85048396293&partnerID=8YFLogxK
U2 - 10.1016/j.compstruct.2018.06.005
DO - 10.1016/j.compstruct.2018.06.005
M3 - Article
SN - 0263-8223
VL - 201
SP - 208
EP - 216
JO - Composite Structures
JF - Composite Structures
ER -