Note on the Equations of Finite-Strain Force and Moment Stress Elasticity.

摘要

Given a system of vectorial equilibrium equations for force and moment stress in a finitely deforming medium, we derive a system of force and moment strain-displacement relations, consistent with the former via application of the principle of virtual work. We then obtain a system of vectorial compatibility equations, and we establish a connection between the present description of force stresses and strains, for the limiting case of absent moment stresses, with the classical description involving Kirchhoff stresses and Green strains, including the statement of constitutive equations corresponding to a given set of such equations for the measures of Kirchhoff and Green.