Basic Equations of the Theory of Elasticity
V.A. Shutilov · 2020
The displacement of particles from their equilibrium positions corresponds to a deformation of the medium. To describe completely the deformed state of the body as a function of time, the displacement vector must obviously be represented as a function of the coordinates. This chapter examines one-, two-, and three-dimensional deformations of the medium. It explains the calculation of the energy of an elastically deformed body and discusses simplest deformations and the relation between the different elastic moduli.