Modern Experimental Stress Analysis
Completing the Solution of Partially Specified Problems
Chapter One
Finite Element Methods
This chapter reviews some basic concepts in the mechanics of deformable bodies that
are needed as foundations for the later chapters; much of the content is abstracted from
References [56, 71]. First, we introduce the concept of deformation and strain, followed by
stress and the equations of motion. To complete the mechanics formulation of problems,
we also describe the constitutive (or material) behavior.
The chapter then reformulates the governing equations in terms of a variational principle;
in this, equilibrium is seen as the achievement of a stationary value of the total
potential energy. This approach lends itself well to approximate computer methods. In
particular, we introduce the finite element method (FEM).
For illustrative purposes, the dis ... read full excerpt from Modern Experimental Stress Analysis: Completing the Solution of Partially Specified Problems ebook