Catastrophic brittle fracture is encountered in many engineering contexts, including transportation, infrastructure, and bio-medical devices, bringing with it significant societal costs. Now that tools such as 3D printers allow facile construction of structures with complex geometries and nearly arbitrary patterns, the potential exists for…
Desert sandgrouse, such as the Namaqua Sandgrouse, nest up to 30 km away from watering holes. Adult male desert sandgrouse have specially adapted feathers on their bellies that hold water, even during flight, allowing the birds to transport water back to the chicks at…
Natural architectures such as bone, bamboo, and nacre have long been a source of inspiration as engineers seek to design architected materials with robust failure characteristics. Much of the literature on the failure of cellular solids has focused on regular, periodic lattices. However, natural…
In this work, we present a multiscale model for architected lattices that captures material nonlinearities due to yield and plastic hardening, as well as geometric nonlinearities including buckling, post-buckling softening, and densification. We employ an FE^2 approach where the component-scale deformation is modeled by…
Metamaterials are artificial structures with unique overall properties not found in naturally occurring materials. Unusual properties of metamaterials can be tuned beyond the Bragg limit using local resonance. In this study, we used the Finite Element Method (FEM) to analyze the time domain response…
Cellular resonator-based mechanical metamaterial can be used to create media that efficiently absorb large impact loadings. Modelling arrays of these structures over time can be computationally intensive with traditional finite element analysis (FEA), as arrays of these metamaterials can contain large numbers of cells…
Building models for the plasticity, thermodynamics and kinetics of metals is challenging as subtle aspects of atomic cohesion must be faithfully reproduced, and predictions often require averaging over large, complex configuration ensembles. I will discuss how the energy landscapes of atomic systems can be…
The scope of the present study is to develop a stochastic hierarchical multiscale computational framework for the analysis and simulation of heterogeneous materials. For the uncertainty quantification and the surrogate modeling of multi-scale materials in a hierarchical scheme, two distinct computational frameworks are being…
Despite significant research efforts through programs such as the Materials Genome Initiative, the quantitative design and discovery of engineering materials remain a challenging and slow process. The primary roadblocks remain the complexity of the design spaces involved (e.g., the space of material microstructures) and…
This talk concerns the study of optimal (supremum and infimum) uncertainty bounds for systems where the input (or prior) probability measure is only partially/imperfectly known (e.g., with only statistical moments and/or on a coarse topology) rather than fully specified. Such partial knowledge provides constraints…