Weak solutions for nonlinear antiplane problems leading to hemivariational inequalities

作者：Costea Nicusor; Matei Andaluzia^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(9-10): 3669-3680.

DOI：10.1016/j.na.2010.01.002

• Antiplane shear deformation
• Frictional contact
• Nonlinear constitutive law
• Weak solution
• Hemivariational inequality

We analyze the antiplane shear deformation of an elastic cylinder in frictional contact with a rigid foundation, for static processes, under the small deformation hypothesis. Based on the Knaster-Kuratowski-Mazurkiewicz technique in the theory of the hemivariational inequalities, we prove that the model has at least one weak solution. Moreover, we present several examples of constitutive laws and friction laws for which our theoretical results are valid. Finally, we comment on the conditions which guarantee the uniqueness of the solution.

• 出版日期2010-5-1