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Mles Governing equations 16888 ES077 Continuum (Structural) Mechanics o, T MIstress s=It o. t tensor F2 F strain -equilibrium Equations 2F =0 -Constitutive equations o, Ee d x-dx compatibility equations e, dr Massachusetts Institute of Technology - Prof de Weck and Prof Willcox 0DVVDFKXVHWWV,QVWLWXWHRI7HFKQRORJ\3URIGH:HFNDQG3URI:LOOFR[ *RYHUQLQJ(TXDWLRQV *RYHUQLQJ(TXDWLRQV &RQWLQXXP 6WUXFWXUDO 0HFKDQLFV [ [\ [] \[ \ \] ][ ]\ \ 6 στ τ τ στ ττσ ª º « » = « » « » ¬ ¼ VWUHVV WHQVRU (TXLOLEULXP(TXDWLRQV &RQVWLWXWLYHHTXDWLRQV &RPSDWLELOLW\HTXDWLRQV [ X [ ε ∂ = ∂ VWUDLQ ) ) )  Σ = )L σ ε [ [ = ( [ G[ G[ G[ ε − =
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