Photovoltaics (PV) is a method of converting solar energy into direct current electricity using semiconducting materials that exhibit the photovoltaic effect. Cracking in PV panels can cause performance degradation panels. In this study, new computational methodology, peridynamics utilised to investigate cracking behaviour Peridynamics based on integro-differential equations, and it very suitab...

In this study, a 3-dimensional (3D) implementation of representative volume element homogenization using bond-based peridynamic formulation is presented. Periodic boundary condition established by coupling the displacements of periodic point pairs. Homogenized (effective) material properties are obtained based on displacement gradient tensor. The current approach is val...

We consider the numerical solution of nonlocal constrained value problems associated with linear nonlocal diffusion and nonlocal peridynamic models. Two classes of discretization methods are presented, including standard finite element methods and quadrature based finite difference methods. We discuss the applicability of these approaches to nonlocal problems having various singular kernels and...

Nonlocal gradient operators are basic elements of nonlocal vector calculus that play important roles in nonlocal modeling and analysis. In this work, we extend earlier analysis on nonlocal gradient operators. In particular, we study a nonlocal Dirichlet integral that is given by a quadratic energy functional based on nonlocal gradients. Our main finding, which differs from claims made in previo...

Abstract A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem. The elastic fields obtained from are shown converge in limit vanishing non-locality solutions classic plane elastodynamics associated with a running crack. We carry out our analysis for plate subject mode one loading. length crack prescribed priori and an increasing function time.

Abstract The peridynamic theory is a nonlocal formulation of continuum mechanics based on integro-differential equations, devised to deal with fracture in solid bodies. In particular, the forces acting each material point are evaluated as integral interactions all neighboring points within spherical region, called “neighborhood”. Peridynamic bodies commonly discretized by means meshfree method ...

Peridynamic is a nonlocal theory that uses integral forms of governing equations, making it suitable for describing objects with discontinuous states such as cracks. After more than two decades development, peridynamic has been effectively applied to numerous solid mechanics studies. However, in the field ordinary state-based modeling nonlinear deformation, comprehensive model can establish gen...