S U M M A R Y We document space-dependent clustering properties of earthquakes with m ≥ 4 in the 1975– 2015 worldwide seismic catalogue of the Northern California Earthquake Data Center. Earthquake clusters are identified using a nearest-neighbour distance in time–space–magnitude domain. Multiple cluster characteristics are compared with the heat flow level and type of deformation defined by pa...

A framework for describing the deformation and failure responses of multi-phase polycrystalline microstructures is developed from micromechanical considerations and volume averaging techniques. Contributions from damage (i.e., displacement discontinuities such as cracks, voids, and shear bands) are captured explicitly in the framework’s kinematics and balance relations through additive decompos...

Many natural structures use a foam core and solid outer shell to achieve high strength and stiffness with relatively small amounts of mass. Biological foams, however, must also resist crack growth. The process of crack propagation within the struts of a foam is not well understood and is complicated by the foam microstructure. We demonstrate that in cancellous bone, the foam-like component of w...

In some circumstances, elastic-plastic deformation occurs in which both components of strain are finite. Such situations fall outside the scope of classical plasticity theory which assumes either infinitesimal strains or plastic-rigid theory for large strains. The present theory modifies the kinematics to include finite elastic and plastic strain components. For situations requiring this genera...