Nonlocal elasticity theory for microstretch circular plate with mechanical source

摘要

In the present manuscript, the eigenvalue approach is used for the two-dimensional problem of nonlocal microstretch circular plate subjected to mechanical source. The Laplace and Hankel transforms are applied to solve the problem. The inversion of the Laplace and Hankel transforms are carried out using the inversion formula of the transforms together with Fourier expansion techniques. Numerical inversion methods are applied to obtain the results in the physical domain. The results for microstretch and nonlocal elasticity are deduced as special cases from the present formulation. Numerical results are represented graphically and discussed to show the effect of nonlocal and microstretch.