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The crack phase field model has been well established and validated for avariety of complex crack propagation patterns within a homogeneous medium undereither tensile or shear loading. However, relatively less attention has beenpaid to crack propagation under combined tensile and shear loading or crackpropagation within composite materials made of two constituents with verydifferent elastic moduli. In this work, we compare crack propagation under suchcircumstances modelled by two representative formulations, anisotropic andhybrid formulations, which have distinct stiffness degradation schemes uponcrack propagation. We demonstrate that the hybrid formulation is more adequatefor modeling crack propagation problems under combined loading because theresidual stiffness of the damaged zone in the anisotropic formulation may leadto spurious crack growth and altered load-displacement response.

Phase field modeling of crack propagation under combined shear and tensile loading with hybrid formulation