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Contact Mechanics and Engineering Applications

Fixed Point Theory and Algorithms for Sciences and Engineering welcomes submissions to the Topical Collection on “Contact Mechanics and Engineering Applications” edited by Mircea Sofonea (University of Perpignan, France) and Weimin Han (University of Iowa, USA), which covers a wide variety of topics concerning modeling, analysis, numerical solution and applications of nonlinear problems in contact mechanics and engineering, in which fixed point formulations and arguments play an important role.

These include (but are not limited to) 
- fixed point problems
- nonlinear operators and operator equations
- variational and hemivariational inequalities
- abstract inclusions
- sweeping processes
- nonlinear boundary value problems
- optimal control problems
- real world applications in
                    - industry,
                    - mechanics of materials,
                    - electronics,
and other areas.

The collection will close for submissions on December 31st, 2023. 

Articles will undergo the journal’s standard peer-review process and are subject to all of the journal’s standard policies, including those pertaining to Collections. Articles will be added to the Collection as they are published.

Click the link below to download the PDF with all information on one page:

TC Contact Mechanics and Engineering Applications


  2. In this paper, the numerical solutions of time fractional Burger’s and coupled Burgers’ equations are obtained using the parametric quintic spline method with a local truncation error of order eight in distanc...

    Authors: D. A. Hammad, Mourad S. Semary and Ahmed G. Khattab
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2023 2023:9
    Content type: Research Published on:

  3. In this paper, we propose a semi-smooth Newton method and a primal-dual active set strategy to solve dynamical contact problems with friction. The conditions of contact with Coulomb’s friction can be formulate...

    Authors: Stéphane Abide, Mikaël Barboteu, Soufiane Cherkaoui and Serge Dumont
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:19
    Content type: Research Published on:

  4. The main goal of this paper is to study a class of differential nonlinear system involving parabolic variational and history-dependent hemivariational inequalities in Banach spaces by using the penalty method....

    Authors: Xu Chu, Tao Chen, Nan-jing Huang and Yi-bin Xiao
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:17
    Content type: Research Published on:

  6. This work establishes the existence of a weak solution to a new model for the process of debonding of two elastic 2D-bars caused by humidity and vibrations. A version of the model was first presented in the PC...

    Authors: Meir Shillor and Kenneth L. Kuttler
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:15
    Content type: Research Published on:

  7. We consider a nonlinear elasticity problem in a bounded domain, its boundary is decomposed in three parts: lower, upper, and lateral. The displacement of the substance, which is the unknown of the problem, is ...

    Authors: Mahdi Boukrouche, Boubakeur Merouani and Fayrouz Zoubai
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:14
    Content type: Research Published on:

  9. As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech. 58...

    Authors: Fei Wang and B. Daya Reddy
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:10
    Content type: Research Published on:

  10. We consider an abstract inclusion in a real Hilbert space, governed by an almost history-dependent operator and a time-dependent multimapping with prox-regular values. We establish the unique solvability of th...

    Authors: Florent Nacry and Mircea Sofonea
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:5
    Content type: Research Published on:

  11. We study a mechanical system with a finite number of degrees of freedom, subjected to perfect time-dependent frictionless unilateral (possibly nonconvex) constraints with inelastic collisions on active constra...

    Authors: Samir Adly and Nguyen Nang Thieu
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:3
    Content type: Research Published on:

  12. This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valu...

    Authors: Joachim Gwinner
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2022 2022:4
    Content type: Research Published on:

  14. This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubl...

    Authors: Wei Xu, Cheng Wang, Mingyan He, Wenbin Chen, Weimin Han and Ziping Huang
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:24
    Content type: Research Published on:

  16. We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmo...

    Authors: Jing Zhao, Stanisław Migórski and Sylwia Dudek
    Citation: Fixed Point Theory and Algorithms for Sciences and Engineering 2021 2021:19
    Content type: Research Published on: