The three-dimensional dynamic theory of elasticity is applied to investigate the mechanical properties of the virus capsid. An idealized model of viruses is based on the 3D boundary-value problem of mathematical physics formulated in a spherical coordinate system for the steady-state oscillation process. The virus is modeled by a hollow elastic sphere filled with an acoustic medium and located in a different acoustic medium. The stated boundary-value problem is solved with the help of the method of integral transforms and the method of the discontinuous solutions. As a result, the exact solution of the problem is obtained. The numerical calculations of the elastic characteristics of the virus are carried out.
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 2, pp. 92–104, April–June, 2017.
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Zhuravlova, Z., Nerukh, D., Reut, V. et al. Investigation of an Idealized Virus Capsid Model by the Dynamic Elasticity Apparatus. J Math Sci 243, 111–127 (2019). https://doi.org/10.1007/s10958-019-04530-4