tailieunhanh - Adhesive contact between two dimensional anisotropic elastic bodies

In addition, we also show that our present solutions are valid for the problems of indentation by a rigid punch on an elastic half-space through a proper replacement of the contact radius and the corresponding material constant. Numerical results are provided to demonstrate the accuracy, applicability, and versatility of the developed solutions. | Vietnam Journal of Mechanics Vol. 45 No. 4 2023 pp. 318 333 DOI https 0866-7136 19700 ADHESIVE CONTACT BETWEEN TWO-DIMENSIONAL ANISOTROPIC ELASTIC BODIES Nguyen Dinh Duc1 Nguyen Van Thuong2 1 Faculty of Civil Engineering VNU University of Engineering and Technology 144 Xuan Thuy street Cau Giay district Hanoi 100000 Vietnam 2 School of Aerospace Engineering VNU University of Engineering and Technology 144 Xuan Thuy street Cau Giay district Hanoi 100000 Vietnam E-mail ducnd@ Received 17 October 2023 Revised 07 December 2023 Accepted 19 December 2023 Published online 28 December 2023 Abstract. Adhesion plays a vital role in the design of smart and intelligent high-tech de- vices such as modern optical microelectromechanical and biomedical systems. However in the literature adhesive contact is mostly considered for contact of rigid substrates and transversely isotropic and isotropic elastic materials. The composite materials are increas- ingly used in the mart and intelligent high-tech devices. Since the composite materials are generally anisotropic and contact bodies are all deformable it is more practical to consider the adhesive contact of two anisotropic elastic materials. In this paper an adhesive contact model of anisotropic elastic bodies is established and the closed-form solutions for two- dimensional adhesive contact of two anisotropic elastic bodies are derived. The full-field solutions and the relation for the contact region and applied force are developed using the Stroh complex variable formalism the analytical continuation method and concepts of the JKR adhesive model. We will show that the frictionless contact of two anisotropic elas- tic materials is just a special case of the present contact problem and its solutions can be obtained by setting the work of adhesion equal to zero. In addition we also show that our present solutions are valid for the problems of indentation by a rigid punch on an elastic half-space through a

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