Basic Theorems in Dynamic Elasticity - UNAM
Basic Theorems in Dynamic Elasticity - UNAM
Basic Theorems in Dynamic Elasticity - UNAM
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Uniqueness TheoremThe displacement field u(x,t) throughout the volume V with surface S isuniquely determ<strong>in</strong>ed after time t 0 by the <strong>in</strong>itial displacement and velocityvalues at t 0 throughout V (<strong>in</strong>itial conditions) and by values at all times t > t 0of:1. The body forces f and heatsupplied throughout V2. The tractions T over any part S 1of S, and3. The displacement over therema<strong>in</strong>der S 2 of S, with S=S 1 +S 2 .