Energy Splitting Theorems for Materials with Memory
نویسندگان
چکیده
We extend to materials with fading memory and materials with internal variables a result previously established for materials with instantaneous memory: the additive decomposability of the total energy into an internal and a kinetic part, and a representation of the latter and the inertial forces in terms of one and the same mass tensor.
منابع مشابه
Comparison results on the preconditioned mixed-type splitting iterative method for M-matrix linear systems
Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditio...
متن کاملPhoto corrosion of titania nanotubes within water splitting reaction
Titania nanotubes (TNT) prepared by anodization of Ti foils were used for water splitting in a standalone cell. The concentration polarization between the anode side (1M NaOH) and cathode side (0.5 M H2SO4) ensured that the water splitting reaction could take place with no external bias and separate H2 and O2 evolution could be achieved. The destructi...
متن کاملPhoto corrosion of titania nanotubes within water splitting reaction
Titania nanotubes (TNT) prepared by anodization of Ti foils were used for water splitting in a standalone cell. The concentration polarization between the anode side (1M NaOH) and cathode side (0.5 M H2SO4) ensured that the water splitting reaction could take place with no external bias and separate H2 and O2 evolution could be achieved. The destructi...
متن کاملA poor man’s positive energy theorem
We show that positivity of energy for stationary, asymptotically flat, non-singular domains of outer communications is a simple corollary of the Lorentzian splitting theorem. A milestone in mathematical general relativity is the positive energy theorem [8, 10]. It is somewhat surprising that the standard proofs of this result do not have anything to do with Lorentzian geometry. In this note we ...
متن کاملSinglet-Triplet Energy Splitting of Divalent Five-Membered Ring NI2C2H2C (M = N,P, As and Sb)
In recent work, thermal energy gaps. AE, it °PUPS gas, Ana; Gibbs free energy gaps, AG.,, between singlet(s) and triplet 0) states of 5.12C3H2C, I m (4 N. P. As and Sb) were calculated and compared with thoseanalogues. MC2113C, (M= CIL N. P. As and Sb) at B3LYIE6-311-NG" level of theory. Our itself showedthat Gibbs free energy gaps. AG, for l uu and 1 p are less than IS and I's, respectively. I...
متن کامل