In numerical welding modelling, it is critically important to adopt a heat source model that fits the actual process since has significant influence on calculation accuracy of transient temperature field, especially near source. An inappropriate can produce an overestimated or underestimated leading displacement field errors in mechanical analysis. this study, new non-linear peridynamic employi...

When modeling composite materials at small scales, the consideration of nonlocal effects is fundamental. In addition, overall response matrix-inclusion composites strongly affected by behavior interface between inclusion and matrix. This can be attributed to a possible detachment constituents as well high interface-to-volume ratio especially for nano-sized inclusions. Peridynamics theory that s...

We describe an approach to nonlocal, nonlinear advection in one dimension that extends the usual pointwise concepts to account for nonlocal contributions to the flux. The spatially nonlocal operators we consider do not involve derivatives. Instead, the spatial operator involves an integral that, in a distributional sense, reduces to a conventional nonlinear advective operator. In particular, we...