proof ch:13-continuum-elasticity@proof-7

open in the book · parts/03-classical-mechanics/13-continuum-elasticity.tex:563

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proof : ch:13-continuum-elasticity@proof-7prooftheorem 30.18: Cauchy: the stress tensor exists30.18definition 30.17: Traction30.17definition 13.5: Tensor under orthogonal transformations13.5definition 30.24: The elasticity tensor30.24definition 31.1: Fluid31.1proposition 30.19: The stress tensor is symmetric30.19proposition 30.74: The maximum shear stress, and its indifference to pressure30.74remark 30.72: Stress concentration30.72theorem A.695: Boussinesq's point-force solution, quotedA.695theorem 30.21: Cauchy's equation of motion30.21

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proves Cauchy: the stress tensor exists declared parts/03-classical-mechanics/13-continuum-elasticity.tex:563