双相薄孔粘弹性层的渐近模型

IF 0.8 4区工程技术 Q3 MATHEMATICS, APPLIED

Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2015-08-01 DOI:10.1093/QJMAM/HBV008

I. Argatov, Gennady Mishuris

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引用次数: 7

摘要

在线性双相孔粘弹性理论的框架下，研究了关节软骨层的三维变形问题。假定双相层的固体基体是横向各向同性的。得到了粘接在刚性不透水基板上的较薄双相孔粘弹性层的短时间阶渐近解。

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An asymptotic model for a thin biphasic poroviscoelastic layer

Summary A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.

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来源期刊

Quarterly Journal of Mechanics and Applied Mathematics 物理-力学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.