This article considers the influence of incompressibility on compliance and stiffness constants that appear in weakly nonlinear theory elasticity. The formulation first constraint applied to compliances, which gives explicit finite limits for second-, third-, fourth-order constants. stiffness/compliance relationships each order are derived used determine incompressible behavior Unlike compressi...

we investigate a class of fourth-order differential operators with eigenparameter dependent boundary conditions and transmission conditions. a self-adjoint linear operator a is defined in a suitable hilbert space h such that the eigenvalues of such a problem coincide with those of a . we discuss asymptotic behavior of its eigenvalues and completeness of its eigenfunctions. finally, we obtain th...

This paper presents the bending analysis of annular plates by the indirect Trefftz boundary approach. The formulation for thin and thick plates is based on the Kirchhoff plate theory and the Reissner plate theory. The governing equations are therefore a fourth-order boundary value problem and a sixth-order boundary value problem, respectively. The Trefftz method employs the complete set of solu...