Numerical Method for Solving Linear Viscoelasticity Equations.
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| Title: | Numerical Method for Solving Linear Viscoelasticity Equations. |
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| Authors: | Prikazchikov, D. A.1 (AUTHOR) prikazchikov.da@phystech.edu, Petrov, I. B.1 (AUTHOR) petrov@mipt.ru |
| Source: | Computational Mathematics & Mathematical Physics. Jun2026, Vol. 66 Issue 6, p1043-1055. 13p. |
| Subjects: | Viscoelasticity, Separation of variables, Fractional calculus, Volterra operators, Numerical analysis, Laminated materials |
| Abstract: | A numerical method is proposed for solving linear viscoelasticity equations with Rabotnov-type operators. A mathematical model that takes into account the memory of the material is constructed by applying the Volterra principle and fractional integro-differentiation. An algorithm based on grid-characteristic methods and separation of variables is developed. The approach is applied to inhomogeneous media of various types, including layered composites. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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