TY  - INPR
U1  - Preprint
A1  - Ciavarella, Michele
A1  - McMeeking, Robert M.
T1  - Crack propagation at the interface between viscoelastic and elastic materials
N2  - Crack propagation in viscoelastic materials has been understood with the use of Barenblatt cohesive models by many authors since the 1970's. In polymers and metal creep, it is customary to assume that the relaxed modulus is zero, so that we have typically a crack speed which depends on some power of the stress intensity factor. Generally, when there is a finite relaxed modulus, it has been shown that the toughness increases between a value at very low speeds at a threshold toughness G0, to a very fast fracture value at Ginf, and that the enhancement factor in infinite systems (where the classical singular fracture mechanics field dominates) simply corresponds to the ratio of instantaneous to relaxed elastic moduli. Here, we apply a cohesive model for the case of a bimaterial interface between an elastic and a viscoelastic material, assuming the crack remains at the interface, and neglect the details of bimaterial singularity. For the case of a Maxwell material at low speeds the crack propagates with a speed which depends only on viscosity, and the fourth power of the stress intensity factor, and not on the elastic moduli of either material. For the Schapery type of power law material with no relaxation modulus, there are more general results. For arbitrary viscoelastic materials with nonzero relaxed modulus, we show that the maximum toughness enhancement will be reduced with respect to that of a classical viscoelastic crack in homogeneous material.
KW  - viscoelasticity
KW  - crack propagation
KW  - cohesive models
KW  - bimaterial interfaces
Y1  - 2020
UN  - https://nbn-resolving.org/urn:nbn:de:bsz:291:415-7079
U6  - https://doi.org/10.48550/arXiv.2012.09011
DO  - https://doi.org/10.48550/arXiv.2012.09011
AX  - arXiv:2012.09011
IS  - V1
SP  - 19 S.
S1  - 19 S.
PB  - arXiv
ER  -