摘要
本文提供了半空间体物理非线性力学分析的半解析元法,给出了物理非线性半解析无法分析时的弹塑性刚度矩阵及增量──常刚度迭代法的计算步骤.本文对三维物体采取二维解析,一维离散的办法建立半解析单元,与有限元法相比,其自由度大大降低,极大地减少了计算机内存和计算工作量.
The Semi-Analytical Element Method(SAEM)for analyzing the physical -nonlinearity mechanics of the half space is provided.The elasto-plastic stiffness matrix and the incremental-constant stiffness iterative steps for the SAEM analyzing the physical-nonlieartity problem is also given in this paper.For three-dimensional objects,the semi -analytical elements ace founded by two-dimentional analytic founctions and one-dimensional interpolating founctions. Contrasting the Finite-Element Method,the degrees of freedon of this method are reduced greatly, therefore the internal memory and the computational effort of the computer are cut down enovmously.