Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …

This study presents the derivation of ordinary state-based peridynamic heat conduction
equation based on the Lagrangian formalism. The peridynamic heat conduction parameters …

In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD)
formulation for thermomechanical brittle and ductile fracture is presented. The Johnson …

The accurate numerical prediction of concrete cracking under thermal or thermo-mechanical
loads is essential and urgent due to the requirement of structure reliability and durability. In …

In this paper, a bond-based peridynamic (PD) advection–reaction–diffusion model is
formulated to simulate processes involving chemical reactions, flows, and diffusion. In the …

A new fully coupled poroelastic peridynamic formulation is presented and its application to
fluid-filled fractures is demonstrated. This approach is capable of predicting porous flow and …

The kernel in a peridynamic diffusion model represents the detailed interaction between
points inside the nonlocal region around each material point. Several versions of the kernel …

We introduce a transient advection-diffusion peridynamic model using a constructive
approach. We verify our model against the classical model in 1D and 2D, and we find that in …

Numerous studies have investigated the coupled multi-field processes in frozen soils,
focusing on the variation in frozen soils and addressing the influences of climate change …