We present multi-material simulations in the Lagrangian framework. The methods employed are based on classical Godunov-like methods that are adapted to treat the case of interfaces separating different materials. In the models considered the gas, liquids or elastic materials are described by specific constitutive laws, but the governing equations are the same. Examples of gas-gas and elastic-el...

In the present paper, a semi-analytical solution is presented for free vibration analysis of circular plates with complex combinations of the geometric parameters, edge-conditions, material heterogeneity, and elastic foundation coefficients. The presented solution covers many engineering applications. The plate is assumed to have a variable thickness and made of a heterogeneous material whose p...

The interaction between a fluid, elastic structure, and poroelastic material plays a fundamental role in many biomedical applications. An example of such application is the interaction between blood, arterial wall and blood clot. This multi-physics problem features three different types of coupling: fluid-elastic structure coupling, fluid-poroelastic material coupling, and elastic structure-por...

We use Noether's theorem to derive energy-momentum tensors for a simple elastic material, a nonsimple elastic material of grade two, a simple elastic dielectric and a nonsimple elastic dielectric of grade two. The technique is easily extendable to a nonsimple elastic dielectric of any grade. Introduction The concept of the force acting on a defect, e.g., an impurity, vacant lattice site, disloc...

The indentation slope curve from a spherical indentation on elastic-plastic materials is examined. By comparing it with that of an linear elastic material of the same elastic properties, we found that the start point of plastic yielding for an elastic-plastic material can be easily located from the indentation slope curve. Based on this analysis, a simple but effective method is proposed tomeas...

The axially compressed buckling of a double-walled carbon nanotabe surrounded by an elastic medium using the energy and the Rayleigh-Ritz methods is investigated in this paper. In this research, based on the elastic shell models at nano scale, the effects of the van der Waals forces between the inner and the outer tubes, the small scale and the surrounding elastic medium on the critical bucklin...

In this paper, the effect of elastic foundation on the out of plane displacement of functionally graded circular plates using differential transform method is presented. Differential transform method is a semi-analytical-numerical solution technique that is capable to solve various types of differential equations. Using this method, governing differential equations are transformed into recursiv...

Quasi-elastic neutron scattering (QENS) was used to monitor the state of water in portland cement and tricalcium silicate pastes during the first 2 days of hydration at three different temperatures. By applying a double-Lorentzian rather than a single-Lorentzian fitting function, the QENS signal from water at a given hydration time was divided into three separate populations arising from liquid...

ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMATIONS OF MATERIALS WITH ELASTIC RANGE by David R. Owen In this note precise definitions of the concepts of permanent deformation, annealed state, and non-softening material are used to establish non-uniqueness of elastic rotations for deformations of certain materials with elastic range. ON THE NON-UNIQUENESS OF ELASTIC ROTATIONS FOR DEFORMA...

Incited by public fascination and engineering application, water-skipping of rigid stones and spheres has received considerable study. While these objects can be coaxed to ricochet, elastic spheres demonstrate superior water-skipping ability, but little is known about the effect of large material compliance on water impact physics. Here we show that upon water impact, very compliant spheres nat...