Abstract
The chapter discusses the explicit and implicit non-matrix finite element algorithms for calculating contact interactions between elastic–plastic bodies. We consider Lagrangian contact algorithms that are based on Lagrange multipliers (explicit methods) and penalty functions (implicit methods). Examples of the calculation of contact interactions during high-speed processes of the collision of elastic–plastic bodies and explosion welding of tubular samples are presented.
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The study was supported by the Russian Government programs in IPMech RAS and ICAD RAS.
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Burago, N.G., Nikitin, I.S., Nikitin, A.D. (2020). Algorithms for Calculating Contact Problems in the Solid Dynamics. In: Jain, L., Favorskaya, M., Nikitin, I., Reviznikov, D. (eds) Advances in Theory and Practice of Computational Mechanics. Smart Innovation, Systems and Technologies, vol 173. Springer, Singapore. https://doi.org/10.1007/978-981-15-2600-8_14
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DOI: https://doi.org/10.1007/978-981-15-2600-8_14
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