Abstract: The traditional methods for analyzing deformation in structures attempt to solve the partial differential equations of the classical theory of continuum mechanics. Yet these equations, because they require the partial ...

Abstract: The design of an aerospace structure using an off-the-shelf composite would involve increasing the gauge thickness until all the design requirements are met. This can lead to an inefficient design, because excess margins ...

Abstract: We consider the problem of modeling heterogeneous materials where microscale dynamics and interactions affect global behavior. In the presence of heterogeneities in material microstructure it is often impractical, if not ...