Manifold Method of Material Analysis,
Abstract
The manifold method is a newly developed general method to analyze material response to external and internal changes in loads (stress). The method uses different displacement functions in different material domains. The function domains overlap each other, covering the whole material space to form a finite cover system. The large displacements of jointed or blocky materials of complex shape and moving boundaries can be computed in a mathematically consistent manner. Both the finite element method (FEM) for continua and the discontinuous deformation analysis (DDA) for block systems are special cases of the manifold method. Mathematical Mesh and Physical Mesh of Manifolds. Physically, the shapes of material objects differ. When the material volume has fractures, blocks or different zones, the shape and boundaries become complex. Also, computations can be extremely time-consuming under conditions of large deformation and moving boundaries. The difficulty occurs because the representation via conventional analytical approximations by functions or series is feasible and useful only in a local continuous domain which represents only a small part of the material space.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1992
- Accession Number
- ADP006591
Entities
People
- Gen-hua Shi
Organizations
- Army Research Office