Comparison of methods for discontinuous and smooth inhomogeneous elastostatics

Abstract eng:
In this work, a number of computational methods for the numerical solution of boundary-value problems (BVPs) for inhomogeneous elastostatics are investigated and compared. This includes algorithmic formulations, discretization methods, and numerical solution schemes. The inhomogeneity of interest is the classic case of an inclusion embedded in a matrix. Both discontinuous (i.e., classic) and smooth stiffness distributions are treated, the latter via phase-field modeling of the matrix-inclusion composite as a two-phase system. For simplicity, attention is restricted to the strong form of mechanical equilibrium. With the help of the analytic solutions in the one-dimensional context, a number of principle issues related to numerical solution of the BVP are investigated. Besides being of interest in its own right, the general lack of commutativity of differentiation and interpolation motivates as well the investigation and comparison of both displacementand the more classic strain-based algorithms. A number of examples will be discussed.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket