ABSTRACT

On the basis of the hypotheses of the linear elastic behaviour of the material and of small displacements, the problem of the elastic solid may be resolved, as we have found in Chapters 8, 9 and 10, by means of Lamé's equation, where the operator [L] is always linear. If, that is, {F} is the vector of the external forces and {η} is the corresponding displacement vector, obtained by resolving equation (8.52(a)), should the loads be multiplied by a constant c, also the displacements, and hence the deformation and the static characteristics will be multiplied by the same constant