Grid-based methods for generating all-hex meshes show tremendous promise in automating and speeding up turnaround for computational simulations for solid mechanics. Recognizing some of its inherent weaknesses, there has been hesitancy in accepting this technology as a viable option for critical FEA. This study attempts to compare meshes generated with traditional manual pave-and-sweep technolog...

Solid–solid ðSSÞ phase transformations via nanometer-size intermediate melts ðIMsÞ within the SS interface, hundreds of degrees below melting temperature, were predicted thermodynamically and are consistent with experiments for various materials. A necessary condition for the appearance of IMs, using a sharp interface approach, was that the ratio of the energies of SS and solid–melt ðSMÞ interf...

Numerical analysis of renormalon technique in quantum mechanics. Abstract We mimic infrared renormalons of QCD by resumming a Born series for s-wave scattering within an exactly solvable model of quantum mechanics. Numerical estimates show that traditional technique based on introduction of nonperturbative power corrections fails to determine the low-energy mass scale of the model analogous to ...

Contact mechanics is related to the deformation study of solids that meet each other at one or more points. The physical and mathematical formulation of the problem is established upon the mechanics of materials and continuum mechanics and focuses on computations involving bodies with different characteristics in static or dynamic contact. Contact mechanics gives essential information for the s...

We classify the computational complexity of the popular video games Portal and Portal 2. We isolate individual mechanics of the game and prove NP-hardness, PSPACE-completeness, or (pseudo)polynomiality depending on the specific game mechanics allowed. One of our proofs generalizes to prove NP-hardness of many other video games such as Half-Life 2, Halo, Doom, Elder Scrolls, Fallout, Grand Theft...

Scalable Implementation of Finite Elements by NASA (ScIFEN) is a parallel finite element analysis code written in C++. ScIFEN is designed to provide scalable solutions to computational mechanics problems. It supports a variety of finite element types, nonlinear material models, and boundary conditions. This report provides an overview of ScIFEi (“Sci-Fi”), the implicit solid mechanics driver wi...

A microscopic eikonal theory based on photon wave mechanics is established. The diamagnetic (solid state) eld-plasma interaction is shown to play a central role in the theory, and this interaction enables one to introduce a massive transverse photon concept. This quasi-particle enters the eikonal theory in manner similar to the one in which the classical point particle enters Newtonian Mechanic...

1. Preliminary concepts: Definitions and theoretical framework 2. Kinematics of deformation 2.1. The continuum setting: Mathematical description 2.2. Displacement, deformation and motion 2.3. Stretch, shear and strain 2.4. Change of reference frame and objective tensors 3. Balance laws 3.1. Mass and conservation of mass 3.2. Force, torque and theory of stress 3.3. Euler’s laws of motion 3.4. En...

"Granular elasticity," useful for calculating static stress distributions in granular media, is generalized by including the effects of slowly moving, deformed grains. The result is a hydrodynamic theory for granular solids that agrees well with models from soil mechanics.