Session: 03-05-02: Integrated Computational Materials Engineering

Paper Number: 121245

121245 - Indentation Over a Poroelastic and Layered Composite Plate 

Porous materials and structures are now commonly used for better mechanical performance. As such, identification and characterization of their properties become important. In this talk, we derive a general solution of indentation over a multilayered composite plate consisting of transversely isotropic and poroelastic materials. The rigid disk-shaped indenter is subjected to a vertical force of Heaviside time-variation. The solution is expressed in terms of the recently introduced beautiful and powerful Fourier-Bessel series (FBS) system of vector functions combined with the unconditionally stable dual-variable and position (DVP) method for dealing with layering. Since the problem is a mixed boundary-value one, the Green’s functions due to a vertical ring-load are first derived, which are then utilized in the integral least-square formulation to derive the solution. In terms of the FBS vector system, the expansion coefficients, which are further called Love numbers, are discrete, and therefore can be pre-calculated and used repeatedly for different field points on the surface. As such, the solution based on the new FBS system is much more efficient and accurate than the common integral-transform methods. This new and discrete vector system is particularly attractive for dealing with mixed boundary-value problems where time-variation is involved. Numerical examples are carried out to validate the accuracy of the proposed solution, and to demonstrate the effect of material layering, geometry, and hydraulic boundary conditions on the contact performance of the layered porous composites.

Presenting Author: Ernian Pan NYCU

Presenting Author Biography: Prof. Zhiqing Zhang is an expert on the modeling and simulaitons of multilayered smart systems. He has developed various computational programs for soil-structure interactions, indentations, etc.