Linear and Nonlinear Waves in Microstructured Solids

DOI10.1201/9781003146162MaRDI QIDQ6161041

Igor V. Andrianov, Vladyslav V. Danishevs'kyy, Jan Awrejcewicz

Publication date: 26 June 2023

zbMATH Keywords

fourth-order Runge-Kutta methodlayered compositefiber compositelocalized nonlinear wavelinear elastic wavemultiple time scales methodBloch-Floquet methodhigher-order homogenization methodsingular/regular asymptotic method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Nonlinear waves in solid mechanics (74J30) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (3)

Higher order asymptotic homogenization for dynamical problems ⋮ Homogenized equation of second-order accuracy for conductivity of laminates ⋮ Wave Propagation On a String Resting on a General Nonlinear Substrate

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