By Rao M.
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Solids 51, 487-517. , 2004. Adv. Appl. , in press. , 1998. J. Mech. Phys. Solids 46, 1835-1844. , 1981. Lett. Appl. Engin. Sci. 19, 1031-1039. , 1983. Arch. Rat. Mech. Anal. 84, 1-29. , 1988. Arch. Rat. Mech. Anal. 104, 185-221. , 1991. Zeit. angewandte Math. Phys. 42, 370-388. , 1995. Arch. Rat. Mech. Anal. 131, 67-100. , 2000. Configurational Forces as Basic Concepts of Continuum Physics. Springer, New York. , 1990. Arch. Rat. Mech. Anal. 112, 97-160. , 1993. Proc. Roy. Soc. Lond. A 440, 323-343.
At continuum level the emitted shortlength lattice waves are invisible, and the radiation is perceived as energy dissipation. Since the rate of energy release at the macroscale remains unspecified, in order to close the system of equations at the macrolevel, one needs to supplement the conservative continuum equations with the dissipative kinetic relation on the moving discontinuity [10, 11]. In this paper we consider the simplest nonlocal discrete model of a martensitic phase boundary allowing one to find the unknown energy release rate explicitly.
Acta Mechanica 115, 119-131. , 2003. Pseudo-plasticity and Pesudo-inhomogeneitiy Effects in Materials Mechanics (Truesdell Memorial Volume). J. of Elasticity, Vol. 71, 81-103. , 2001. Nonlinear waves and conservation laws (Nonlinear duality between elastic waves and quasi-particles). , Quran, A. (eds) (Birkhauser, Boston, 2001) 100-142. , 1999. K, 1999). , 2003. Exact discrete breather solutions and conservation laws of lattice equations. Proc. Est. Acad. Sci. Math. Phys. 52,76-84. , 1997. Configurational forces induced by finite-element discretization.
Brownian motion and classical potential theory by Rao M.
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