Deformation Problem for Glued Elastic Bodies and an Alternative Iteration Method

We study a mathematical model for deformation of glued elastic bodies in 2D or 3D, which is a linear elasticity system with adhesive force on the glued surface. We reveal a variational structure of the model and prove the unique existence of a weak soluti

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Hiromichi Itou · Shiro Hirano · Masato Kimura · Victor A. Kovtunenko · Alexandr M. Khludnev Editors

Mathematical Analysis of Continuum Mechanics and Industrial Applications III Proceedings of the International Conference CoMFoS18

Mathematics for Industry Volume 34

Aims & Scope The meaning of “Mathematics for Industry” (sometimes abbreviated as MI or MfI) is different from that of “Mathematics in Industry” (or of “Industrial Mathematics”). The latter is restrictive: it tends to be identified with the actual mathematics that specifically arises in the daily management and operation of manufacturing. The former, however, denotes a new research field in mathematics that may serve as a foundation for creating future technologies. This concept was born from the integration and reorganization of pure and applied mathematics in the present day into a fluid and versatile form capable of stimulating awareness of the importance of mathematics in industry, as well as responding to the needs of industrial technologies. The history of this integration and reorganization indicates that this basic idea will someday find increasing utility. Mathematics can be a key technology in modern society. The series aims to promote this trend by 1) providing comprehensive content on applications of mathematics, especially to industry technologies via various types of scientific research, 2) introducing basic, useful, necessary and crucial knowledge for several applications through concrete subjects, and 3) introducing new research results and developments for applications of mathematics in the real world. These points may provide the basis for opening a new mathematics-oriented technological world and even new research fields of mathematics. To submit a proposal or request further information, please use the PDF Proposal Form or contact directly: Swati Meherishi, Executive Editor ([email protected]). Editor-in-Chief Masato Wakayama (Kyushu University, Fukuoka, Japan) Scientific Board Members Robert S. Anderssen (Commonwealth Scientific and Industrial Research Organisation, Canberra, ACT, Australia) Yuliy Baryshnikov (Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, USA) Heinz H. Bauschke (University of British Columbia, Vancouver, BC, Canada) Philip Broadbridge (School of Engineering and Mathematical Sciences, La Trobe University, Melbourne, VIC, Australia) Jin Cheng (Department of Mathematics, Fudan University, Shanghai, China) Monique Chyba (Department of Mathematics, University of Hawaii at Mānoa, Honolulu, HI, USA) Georges-Henri Cottet (Joseph Fourier University, Grenoble, Isère, France) José Alberto Cuminato (University of São Paulo, São Paulo, Brazil) Shin-ichiro Ei (Department of Mathematics, Hokkaido University, Sapporo, Japan) Yasuhide Fukumoto (Kyushu University, Nishi-ku, Fukuoka, Japan) Jonathan R. M. Hosking (IBM T.J. Watson Research Center, Scarsdale, NY, USA) Alejandro Jofré (University of Chile, Santiago, Chile) Masato Kimura (Faculty of Mathematics & Physics, Kanazawa University, Kana