Implicit implementation of the nonlocal operator method: an open source code

Abstract In this paper, we present an open-source code for the first-order and higher-order nonlocal operator method (NOM) including a detailed description of implementation. The NOM is based on so-called support, dual-support, operators, operate energy functional ensuring stability. generalization conventional differential operators. Combined with weighed residuals variational principles, establishes residual tangent stiffness matrix through some simple without need shape functions as in other classical computational methods such FEM. only requires definition drastically simplifying its implementation paper focused linear elastic solids sake conciseness can handle more complex nonlinear problems. be very flexible efficient to solve partial equations (PDEs), it’s also quite easy readers use extend it complicated physical phenomena described by one or set PDEs. Finally, benchmark problems cantilever beam plate-with-a-hole problem, make extension phase-field fracture modeling gradient elasticity material.