ON A ONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTIC MODEL FOR STRUCTURAL PHASE-TRANSITIONS IN SHAPE-MEMORY ALLOYS

[摘要] We shall prove the existence and the uniqueness of global classical solutions of the following one-dimensional Landau-Devonshire thermoviscoelastic model for structural phase transitions in shape memory alloys: u(ll)-p(theta, u(x))(x)-mu u(xxt) = f, in (0,1)x(0.T) alpha(1) theta(l)-kappa theta(xx)-alpha(2) theta u(x)u(xt)-mu u(xt)(2) = g, in (0,1)x(0,T) u(0,t) = u(1,t) = 0, theta(x)(o,t) = theta(x)(1,t) = 0 u(x,0) = u(0)(x), u(l)(x,0) = u(1)(x), theta(x,0) = theta(0)(x). (c) 1994 Academic Press, Inc.

[发布日期] 1994-09-01