Dual reciprocity hybrid boundary node method for elastodynamics

Combined the hybrid boundary node method (HBNM) and thedual reciprocity principle, a truly boundary-type meshless method, dualreciprocity hybrid boundary node method (DR-HBNM), is presented forelastodynamics. HBNM is a truly boundary-type meshless method, which has theadvantages of meshless method and the BEM. The HBNM is used to solve thehomogeneous equations, and the DRM is employed to solve the inhomogeneousterms using radial basis functions (RBF). The domain integrals for theinhomogeneous terms in the govern equations of elastodynamics can be takeninto boundary integrals using the reciprocity principle. The solution isdivided into the particular part and the general part. No meshes are neededeither for the interpolation purposes or for integration process. Onlydiscrete nodes are constructed on the boundary of a domain and several nodesin the domain are needed just for the RBF interpolation. The serious``boundary layer effect'' in the HBNM is circumvented by the adaptiveintegration scheme. The present method has many advantages, such as simplepostprocess and higher accuracy. The numerical exampleshave demonstrated the accuracy and convergence of the present scheme.