Quasistatic Problems in Contact Mechanics
نویسنده
چکیده
form, Problem P . Find fu; ; g such that 0 +K1 +K2 + C1v + S(v; ; ) = Q in V 0; Bv + Au + C2 + 4j(v; ; ; v) 3 f in E 0: Here f 2 E 0 and Q 2 V 0 are given by hf; wi = Z T 0 Z f(t)wi(t) dxdt + Z T 0 Z ij (t)wi;j(t) dxdt + Z T 0 Z N fN(t)wi(t)d dt; hQ; i = Z T 0 hq(t); (t)i dt Z T 0 Z 0(t) (t) dxdt Z T 0 Z C hR( (t) R(t)) (t)d dt Z T 0 Z kij ;i(t) ;j(t) dxdt; and 4j(v; ; ; w) denotes the partial subdifferential with respect to w of j(v; ; ; w) = Z T 0 Z C (x; jvT (t) v (t)j; (t))jR n(t)jjwT (t) v (t)jd dt: Theorem [4]. Problem P has a unique solution when 0 is sufficiently small.
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