Abstract
The paper deals with the problem of boundary conditions derivation on the propagating growing surface for Harutyunyan’s model in case of materials sensitive to mirror reflections and inversions of three-dimensional space. The growing surface positions are specified as the level surface of the pseudoscalar field. The notions of fundamental orienting pseudoscalar and pseudoscalar time of weight W are introduced. The unit normal pseudovector to the propagating growing surface given by the pseudoscalar field are calculated and discussed. The boundary conditions for stresses on the propagating growing surface proposed by G. I. Bykovtsev are generalised to the case of pseudoscalar geometry.
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Acknowledgements
The present work was partially supported by the Ministry of Science and Higher Education within the framework of the Russian State Assignment under contract No. AAAA-A20-120011690132-4 and partially supported by Russian Foundation for Basic Research (RFBR) Grant No. 20-01-00666.
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Murashkin, E.V. (2023). On the Generalised Boundary Conditions in Harutyunyan’s Model of Growing Solids. In: Altenbach, H., Mkhitaryan, S.M., Hakobyan, V., Sahakyan, A.V. (eds) Solid Mechanics, Theory of Elasticity and Creep. Advanced Structured Materials, vol 185. Springer, Cham. https://doi.org/10.1007/978-3-031-18564-9_17
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