16.21 Techniques of Structural Analysis and Design Spring 2003 Unit #6- Boundary value problems in linear elasticity ↑B B Figure 1: Schematic of generic problem in linear elasticity Equations of equilibrium(3 equations, 6 unknowns f1=0 Compatibility( 6 equations, 9 unknowns) 1/ dui du16.21 Techniques of Structural Analysis and Design Spring 2003 Unit #6 - Boundary value problems in linear elasticity Figure 1: Schematic of generic problem in linear elasticity • Equations of equilibrium ( 3 equations, 6 unknowns ): σji,j + fi = 0 (1) • Compatibility ( 6 equations, 9 unknowns): �∂ui � �ij = (2) 1 2 ∂xj + ∂uj ∂xi 1