Rationalization in Deriving Element Stiffness Matrix by Assumed Stress Approach
Abstract
From the principle of minimum complementary energy, which is extended to take into account the possible discontinuity in stresses or displacements along the interelement boundaries, the finite element methods by both the assumed stress hybrid model and the equilibrium model can be formulated. This formulation enables the development of a rational method for consistent lumping of body and surface forces and the establishment of a criterion for the kinematical instability of a system. For the hybrid model, there is an optimum choice of the number of stress modes for a given boundary displacement approximation. Example calculations for plate-bending problems are included to substantiate the analytical predictions. Examples are also carried out to illustrate the convenience in taking transverse shear effects into account by the hybrid method.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1968
- Accession Number
- ADA447742
Entities
People
- Pin Tong
- Theodore H. Plan
Organizations
- Massachusetts Institute of Technology