A non-ordinary state-based peridynamic method to model solid material deformation and fracture

摘要: Abstract In this paper, we develop a new non-ordinary state-based peridynamic method to solve transient dynamic solid mechanics problems. This has advantages over the previously developed bond-based and ordinary methods in that its bonds are not restricted central forces, nor is it Poisson’s ratio of 1/4 as with method. First, obtain non-local nodal deformation gradients used define strain tensors. The gradient tensors rate deformed configuration. polar decomposition then rotation which rotate previous Cauchy stress into an unrotated These conventional constitutive models state where objective. We them back configuration they forces connecting bonds. As first example quasi-statically stretch bar, hold it, ninety degrees illustrate finite capabilities. Next, verify our by comparing small results from bar fixed at one end subjected initial velocity obtained corresponding one-dimensional analytical solution. last example, show fracture capabilities using both notched un-notched bar.