Abstract We use square Statistical Volume Elements (SVEs) to homogenize elastic and
fracture properties of a carbon-nanofiber reinforced polymer. The effect of SVE size and …

This paper reports a procedure to develop random fields of material properties on a
mesoscale level, coarser than the microscale level of heterogeneous material …

In this paper, a method is presented to describe the statistical behavior of mesoscale
material property fields, which are useful in macroscopic fracture simulation. The use of …

In predicting failure of a material, small scale material properties are critical, and yet small
scale random heterogeneities are difficult to characterize accurately and efficiently. In …

We present an efficient approach to evaluate the size dependency of elastic and plastic
properties of metallic polycrystalline materials. Specifically, we consider different volume …

Selective laser melting (SLM) is an additive manufacturing technique commonly used in the
rapid prototyping of components. The complexity of the SLM microstructure poses a unique …

A statistical approach to modeling heterogeneous material behavior is necessary to capture
local behavior, which profoundly affects such macroscale behaviors as brittle fracture and …

Pitting corrosion is one of the major causes of failure in high-pressure oil and gas pipelines.
Various inspection techniques can be used to characterize the morphology of corrosion pits …

In this manuscript, we review the performance of domain decomposition methods (DDMs),
implemented as a black-box module integrated with a finite element solver, for modeling …

This paper reports a procedure to develop random fields of material properties on a
mesoscale level, coarser than the microscale level of heterogeneous material …