Sentence examples for minimum complementary energy from inspiring English sources

The principle of minimum complementary energy is utilized to solve the stress functions and the internal stress distributions are obtained.

The governing equations for the general functions and the partition coefficient are derived by using a variational approach with the principle of minimum complementary energy.

The governing equations for the two types of cracks are also derived using a variational approach with the principle of minimum complementary energy.

Using the principle of minimum complementary energy, an optimal admissible stress field is derived that satisfies equilibrium, boundary and traction continuity conditions.

This stress field has been used in conjunction with the principle of minimum complementary energy to get the effective stiffness matrix of a cracked general symmetric laminate.

By using the principle of minimum complementary energy, the stress components are obtained in closed-form expressions in terms of a perturbation function, which is governed by two fourth-order inhomogeneous ordinary differential equations.

These are the theorem of minimum potential energy, the theorem of minimum complementary potential energy, a variational principle analogous to that of the Hellinger Reissner principle in classical theory, two theorems analogous to those of Castigliano and Engesser in classical theory, a uniqueness theorem of the Kirchhoff Neumann type, and a reciprocal theorem.

Minimum energy and complementary energy principles are used to derive the upper and lower bounds on the effective elastic moduli of statistically isotropic multicomponent materials in d (d= 2 or 3) dimensions.

The minimum principle of complementary energy is established for cable networks involving only stress components as variables in geometrically nonlinear elasticity.

Contrary to the LS1 model which is derived by means of the Hellinger Reissner principle, the new model is derived by means of the minimum of the complementary energy principle.

The principles of virtual work, minimum potential and complementary energy in the mechanics of fractal media were investigated in [3, 19, 25].