Investigation on a novel time-and temperature-dependent cohesive zone model

Abstract

Abstract This paper presents a novel formulation of a cohesive zone model able to effectively approximate the time-and temperature-dependent fracture process along a defined interface. The formulation relies on the assumption that the relaxation behavior of the traction is the origin of the time effects, and time temperature equivalence principle can be introduced in solving the temperature effects. A series basic hypotheses are introduced according to the previous research work and will be complied in the paper. By connecting N Maxwell models in parallel and letting the time-independent traction calculated by PPR cohesive zone model as the input parameter, the time-dependent traction will be output by numerical integration. Reduced time considering the effects of temperature will replace the real time in the numerical integration. With the tool of the user subroutine element, the novel formulation is implemented in FEM code ABAQUS. Typical load cases including constant tensile test and relaxation test are analyzed to illustrate the special properties of the formulation. With three set of input parameters, the proposed model can be utilized in a wide range of applied loading rates and temperatures as validated by the remarkable agreement with the experimental data in the case of the double sandwich cantilever beam made of solid propellant/insulation adherents bonded along the liner interface.