%0 Journal Article
%T Dynamic Fracture in Thin Shells Using Meshfree Method
%A Y. Shie
%J Mathematical Problems in Engineering
%D 2014
%I Hindawi Publishing Corporation
%R 10.1155/2014/262494
%X We present a meshfree approach to model dynamic fracture in thin structures. Material failure is modeled based on a stress-based criterion and viscoplastic is used to describe the material behavior in the bulk material. Material fracture is simply modeled by breaking bonds between neighboring particles. The method is applied to fracture of cylindrical thin structures under explosive loading. The loading is modelled by a pressure-time history. Comparisons between the computational results and experimental data illustrate the validity and robustness of the proposed method. 1. Introduction Modeling dynamic fracture of thin-walled structures remains a challenging task in computational mechanics. Such applications are of major importance in civil engineering, aeronautical engineering, aerospace engineering, and mechanical engineering. Thin structures are often modelled by shell theory. When shear effects can be neglected, the Kirchhoff-Love (KL) condition requires continuity of the underlying discretization. Effective formulations exploiting the higher order continuity of the meshfree methods have been exploited by [1, 2] for the first time; see also the contribution by [3每5] in the context of Isogeometric Analysis. The contribution in [1, 2] includes also fracture of the thin structure under dynamic loading. In [6], a fully coupled fluid-structure interaction method for fracturing thin structure has been proposed. On the other hand, there are many applications where shear effects need to be accounted for. There are numerous finite element formulations based on Mindlin-Reissner theory; see, for example, the manuscripts by [7每21]. On the other hand, thin-walled structures can also be modelled by three-dimensional continuum modeling. Meshfree methods [22每34] are promising alternatives to finite element methods for applications involving large deformations, fracture and fluid-structure interaction. Meshfree method commonly exploits Lagrangian formulation [35每43] for both fluid and structure but does not suffer drawbacks of Lagrangian based finite element methods. They can handle large deformation and also fracture in a natural manner [44每51]. An excellent review of meshfree methods is given in [52, 53]. While there are many meshfree formulations for continua, there exist far less meshfree formulations for structures. A meshfree thin shell formulation based on KL theory has been presented by [54]. They employed the element-free Galerkin (EFG) method. Krysl et al. did not consider fracture. The first meshfree thin shell method for fracture was proposed by Rabczuk
%U http://www.hindawi.com/journals/mpe/2014/262494/