applied fracture mechanics

158 Applied Fracture Mechanics14 Will-be-set-by-IN-TECHyPy=f(x)Fx ixexqo* n+x nqoy nnFigure 2. The general view of a rigid indenter in contact with a cracked elastic half-plane.where the kernels in these equations are described by formulasA km = R km + S km , B km = −i(R km − S km ),(A r km , Br km , Dr k , Gr k )=Re(A km, B km , D k , G k ),(A i km , Bi km , Di k , Gi k )=Im(A km, B km , D k , G k ),D k (t, x k )= i 2G k (t, x k )= 1 2[]−t−X 1k+ 1 − e−2iα k(X k −X k ),t−X k (t−X k ) 2[ ]1t−X k+ 1−e−2iα k− e−2iα k(t−X k ),t−X k (t−X k ) 2(33){R nk (t, x n )=(1 − δ nk )K nk (t, x n )+ eiα k 12+ e−2iαnX n −T k X n −T k[ ]}+(T k − T k ) 1+e −2iαn(X n −T k ) + 2e−2iαn (T k −X n ),2 (X n −T k ) 3[S nk (t, x n )=(1 − δ nk )L nk (t, x n )+ e−iα k Tk −T k2 (X n −T k ) + 12 X n −T k]+ e−2iαn (T k −X n ), K(X n −T k ) 2 nk (t k , x n )= eiα k2[]1T k −X n+ e−2iαn ,T k −X n