MIT2_092F09_lec02 - 2.092/2.093 Finite Element Analysis of...

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2.092/2.093 — Finite Element Analysis of Solids & Fluids I Fall ‘09 Lecture 2 - The Finite Element Analysis Process Prof. K. J. Bathe MIT OpenCourseWare Reading assignment: Chapter 1, Sections 3.1, 3.2, 4.1 We consider a body (solid or fluid) and define the following quantities: S u = Surface on which displacements, velocities are prescribed S f = Surface of applied forces or heat fluxes f S f = Forces per unit surface f B = Forces per unit volume We apply to the volume of the body the external loads f B , and to the surface of the body the external loads f S f . Given the volume of the body, the boundary conditions on the surface, the applied loads on the volume and the surface, and the material data, we solve for the response of the body. The solution is obtained by satisfying: I. Equilibrium of every differential element in the body and on the surface Momentum equations for fluids II. Compatibility Continuity for fluids III. Stress-strain laws Constitutive relations for fluids In linear analysis, the solution is unique.
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