Modification of the Vlasov subsoil model

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-02-06 DOI:10.1007/s00707-025-04239-3

Mykola Nagirniak

引用次数: 0

Abstract

The paper presents a modification of the Vlasov subsoil model. The modification consists in considering three non-zero components of the displacement vector and the transverse isotropy of the subsoil, as well as in the assumption that material parameters can vary along the layer thickness. A general, modified, heterogeneous and transversely isotropic model of the Vlasov subsoil and four-parameter and two-parameter models with variable material characteristics have been proposed. The modified model and the two-parameter Vlasov subsoil model have been verified on the basis of the solutions of the exact theory of elasticity. New displacement damping functions based on the exact solution of elasticity theory have been proposed.

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Vlasov地基模型的修正

本文提出了对弗拉索夫地基模型的一种修正。修正包括考虑位移矢量的三个非零分量和底土的横向各向同性，以及假设材料参数可以沿层厚变化。提出了一种通用的、修正的、非均质的、横向各向同性的弗拉索夫地基模型以及具有变材料特性的四参数和两参数模型。在精确弹性理论解的基础上，对修正模型和双参数Vlasov地基模型进行了验证。基于弹性理论的精确解，提出了新的位移阻尼函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.