Analytical solutions are given for the stress fields, in both compression and far-field shear, in a two-dimensional elastic body containing two interacting non-circular pores. The two complex potentials governing the solutions are found by using a conformal mapping from a pre-image annulus with those potentials expressed in terms of the Schottky-Klein prime function for the annulus. Solutions f...

© 2012 IBRACON This paper aims to present the experimental results involving the use of nanoindentation measurements and prediction of macroscale elastic properties of high performance cementitious composites (HPCC). The elastic properties of HPCC mixture were evaluated at different length scales by nanoindentation (microscale), and elastic moduli and compressive strength tests (macroscale). Th...

Excess of probabilities of elastic processes over inelastic ones is a characteristic feature of the chaotic resonance scattering predicted by the random matrix theory (RMT). Quantitatively, this phenomenon is characterized by the elastic enhancement factor F((β)) that is, essentially, a typical ratio of elastic and inelastic cross sections. Being measured experimentally, this quantity can provi...

In this paper we investigate, both experimentally and theoretically, the competition between different failure mechanisms (stretching, bending and curvature l ocalization) in freestanding submicron thin films commonly used in micro-electromechanical systems. Micro structures made of elastic -brittle materials such as ultrananocrystalline diamond, diamond like carbon and silicon nitride, as well...

S U M M A R Y We discuss analytical results for seismic radiation during rapid episodes of inelastic brittle deformation that include, in addition to the standard moment term, a damage-related term stemming from changes of elastic moduli in the source region. The radiation from the damagerelated term is associated with products of the changes of elastic moduli and the total elastic strain compo...

Excess of probabilities of the elastic processes over the inelastic ones is a common feature of the resonance phenomena described in the framework of the random matrix theory. This effect is quantitatively characterized by the elastic enhancement factor F (β) that is the typical ratio of elastic and inelastic cross-sections. Being measured experimentally, this quantity can supply us with inform...

For noncentrosymmetric crystals, internal lattice relaxation must be considered for theoretical predictions of elastic properties. This paper develops a molecular dynamics approach for determination of the internal relaxation displacement in a single-layer graphene sheet under macroscopically homogeneous in-plane deformation. Based on an analytical interatomic potential, a generally nonlinear r...

Methods which relate the elastic constants of thermodynamic systems to the fluctuations of the pressure or the volume are called ‘‘fluctuation’’ methods. In this paper we derive expressions, within the fluctuation method, for determining elastic constants in systems composed of hard spheres tethered by inextensible bonds. Such systems are frequently used as athermal models of real physical syst...