30,105 research outputs found
Moore-Penrose inverses of Gram matrices Leaving a Cone Invariant in an Indefinite Inner Product Space
In this paper we characterize Moore-Penrose inverses of Gram matrices leaving
a cone invariant in an indefinite inner product space using indefinite matrix
multiplication. This characterization includes the acuteness (or obtuseness) of
certain closed convex cones
Review on Slip Transmission Criteria in Experiments and Crystal Plasticity Models
A comprehensive overview is given of the literature on slip transmission
criteria for grain boundaries in metals, with a focus on slip system and grain
boundary orientation. Much of this extensive literature has been informed by
experimental investigations. The use of geometric criteria in continuum crystal
plasticity models is discussed. The theoretical framework of Gurtin (2008, J.
Mech. Phys. Solids 56, p. 640) is reviewed for the single slip case. This
highlights the connections to slip transmission criteria from the literature
that are not discussed in the work itself. Different geometric criteria are
compared for the single slip case with regard to their prediction of slip
transmission. Perspectives on additional criteria, investigated in experiments
and used in computational simulations, are given.Comment: in Journal of Materials Science, 201
An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods
An efficient time-stepping algorithm is proposed based on operator-splitting and the space–time discontinuous Galerkin finite element method for problems in the non-classical theory of thermoelasticity. The non-classical theory incorporates three models: the classical theory based on Fourier’s law of heat conduction resulting in a hyperbolic–parabolic coupled system, a non-classical theory of a fully-hyperbolic extension, and a combination of the two. The general problem is split into two contractive sub-problems, namely the mechanical phase and the thermal phase. Each sub-problem is discretized using the space–time discontinuous Galerkin finite element method. The sub-problems are stable which then leads to unconditional stability of the global product algorithm. A number of numerical examples are presented to demonstrate the performance and capability of the method
Energy and precious fuels requirements of fuel alcohol production. Volume 4: Appendices G and H, methanol from coal
Coal mine location, mining technology, energy consumption in mining, coal transport, and potential availability of coal are discussed. Methanol from coal is also discussed
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