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Mathematics in Finite Element Modeling of Computational Friction Contact Mechanics 2021–2022

Author

Listed:
  • Nicolae Pop

    (Institute of Solid Mechanics of Romanian Academy, Str. Constantin Mille no. 15, 030167 Bucharest, Romania
    Department of Mathematics and Computer Science, North University Center at Baia Mare, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brașov, B-dul Eroilor 29, 500036 Brașov, Romania)

  • Sorin Vlase

    (Department of Mechanical Engineering, Faculty of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 29, 500036 Brașov, Romania
    Romanian Academy of Technical Sciences, Calea Victoriei, 125, 101236 Bucharest, Romania)

Abstract

In engineering practice, structures with identical components or parts are useful from several points of view: less information is needed to describe the system; designs can be conceptualized quicker and easier; components are made faster than during traditional complex assembly; and finally, the time needed to achieve the structure and the cost involved in manufacturing decrease. Additionally, the subsequent maintenance of this system then becomes easier and cheaper. The aim of this Special Issue is to provide an opportunity for international researchers to share and review recent advances in the finite element modeling of computational friction contact mechanics. Numerical modeling in mathematics, mechanical engineering, computer science, computers, etc. presents many challenges. The finite element method applied in solid mechanics was designed by engineers to simulate numerical models in order to reduce the design costs of prototypes, tests and measurements. This method was initially validated only by measurements but gave encouraging results. After the discovery of Sobolev spaces, the abovementioned results were obtained, and today, numerous researchers are working on improving this method. Some of applications of this method in solid mechanics include mechanical engineering, machine and device design, civil engineering, aerospace and automotive engineering, robotics, etc. Frictional contact is a complex phenomenon that has led to research in mechanical engineering, computational contact mechanics, composite material design, rigid body dynamics, robotics, etc. A good simulation requires that the dynamics of contact with friction be included in the formulation of the dynamic system so that an approximation of the complex phenomena can be made. To solve these linear or nonlinear dynamic systems, which often have non-differentiable terms, or discontinuities, software that considers these high-performance numerical methods and computers with high computing power are needed. This Special Issue is dedicated to this kind of mechanical structure and to describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are also considered. Additionally, theoretical models, mathematical methods and numerical analysis of these systems, such as the finite element method and experimental methods, are used in these studies. Machine building, automotive, aerospace and civil engineering are the main areas in which such applications appear, but they can also be found in most other engineering fields. With this Special Issue, we want to disseminate knowledge among researchers, designers, manufacturers and users in this exciting field.

Suggested Citation

  • Nicolae Pop & Marin Marin & Sorin Vlase, 2023. "Mathematics in Finite Element Modeling of Computational Friction Contact Mechanics 2021–2022," Mathematics, MDPI, vol. 11(1), pages 1-5, January.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:255-:d:1024191
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    References listed on IDEAS

    as
    1. Sorin Vlase & Marin Marin & Maria Luminita Scutaru & Catalin Pruncu, 2021. "Vibration Response of a Concrete Structure with Repetitive Parts Used in Civil Engineering," Mathematics, MDPI, vol. 9(5), pages 1-12, February.
    2. Ildiko Renata Száva & Daniela Șova & Dani Peter & Pavel Élesztős & Ioan Száva & Sorin Vlase, 2022. "Experimental Validation of Model Heat Transfer in Rectangular Hole Beams Using Modern Dimensional Analysis," Mathematics, MDPI, vol. 10(3), pages 1-23, January.
    3. Tareq Saeed, 2022. "Generalized Thermoelastic Interactions in an Infinite Viscothermoelastic Medium under the Nonlocal Thermoelastic Model," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    4. Marin Marin & Aatef Hobiny & Ibrahim Abbas, 2021. "The Effects of Fractional Time Derivatives in Porothermoelastic Materials Using Finite Element Method," Mathematics, MDPI, vol. 9(14), pages 1-14, July.
    5. Marin Marin & Aatef Hobiny & Ibrahim Abbas, 2021. "Finite Element Analysis of Nonlinear Bioheat Model in Skin Tissue Due to External Thermal Sources," Mathematics, MDPI, vol. 9(13), pages 1-9, June.
    6. Nicolae Pop & Miorita Ungureanu & Adrian I. Pop, 2021. "An Approximation of Solutions for the Problem with Quasistatic Contact in the Case of Dry Friction," Mathematics, MDPI, vol. 9(8), pages 1-10, April.
    7. Ahmed E. Abouelregal & Marin Marin & Sameh Askar, 2021. "Thermo-Optical Mechanical Waves in a Rotating Solid Semiconductor Sphere Using the Improved Green–Naghdi III Model," Mathematics, MDPI, vol. 9(22), pages 1-20, November.
    8. Aatef D. Hobiny & Ibrahim A. Abbas, 2021. "Finite Element Analysis of Thermal-Diffusions Problem for Unbounded Elastic Medium Containing Spherical Cavity under DPL Model," Mathematics, MDPI, vol. 9(21), pages 1-11, November.
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