The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established.
In the...
The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying...
This series aims to cover the major aspects of numerical analysis. The volume covers the techniques of scientific computing, numerical methods for solids and solution of equations in R.
This series aims to cover the major aspects of numerical analysis. The volume covers the techniques of scientific computing, numerical methods for sol...