抄録
The methods of computational continuum mechanics such as the finite element method and the boundary element method are essentially numerical techniques for partial differential equations, whose solutions are highly reliable when the continuum assumption is valid. On the other hand, the physical models developed in computational discontinuum mechanics are effective in the simulations of highly nonlinear and discontinuous behaviors, however, they are not always reliable as numerical techniques for differential equations. The present paper is concerned with the cooperative and concurrent use of the finite element method and the methods of computational discontinuum mechanics in some solid mechanics problems. The adaptively shifted integration technique for the plastic collapse analysis of framed structures is described as an example in computational structural mechanics. The computational damage mechanics approach with the aid of a mesoscopic simulation for the analysis of brittle microcracking solids is presented in computational material science.
