Quasistatic fracture using nonlinear‐nonlocal elastostatics with explicit tangent stiffness matrix

We apply a nonlinear-nonlocal field theory for numerical calculation of quasistatic fracture. The model is given by regularized nonlinear pairwise potential in peridynamic formulation. function an explicit formula with first and second derivatives. This fact allows us to write the entries tangent stiffness matrix explicitly thereby saving computational costs during assembly matrix. validate our approach against classical continuum mechanics linear elastic material behavior. In addition, we compare state-based that uses standard derivations assemble experiments show behavior agrees both model. fracture applied produce simulation ASTM E8 like tension test. conclude example crack growth pre-cracked square plate. For plate, investigated load force (soft loading) displacement (hard loading). Our novel only bond softening used as opposed breaking. have shown works without initial damage two common test problems.