Spherical indentation of a transversely isotropic elastic half-space reinforced with a thin layer

被引：31

作者：

Argatov, Ivan I. ^{[2
]}

Sabina, Federico J. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico

[2] Aberystwyth Univ, Inst Math & Phys, Ceredigion SY23 3BZ, Wales

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2012年 / 50卷 / 01期

关键词：

Spherical indentation; Reinforced half-space; Indentation stiffness; Transverse isotropy; Approximate solution; FUNCTIONALLY GRADED MATERIALS; CONTACT MECHANICS;

D O I：

10.1016/j.ijengsci.2011.08.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The frictionless spherical indentation test is considered for a transversely isotropic elastic half-space reinforced with a thin layer whose flexural stiffness is negligible compared to its tensile stiffness. It is assumed that the deformation of the reinforcing layer can be treated as the generalized plane stress state. Closed-form analytical approximate equations for the maximum contact pressure, contact radius, and contact force are presented. The isotropic case is considered in detail. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：132 / 143

页数：12

共 29 条

[1] Evaluation of the elastic properties of a functionally-graded coating from the indentation measurements [J].

Aizikovich, Sergey ;

Krenev, Leonid ;

Sevostianov, Igor ;

Trubchik, Irina ;

Evich, Ludmila .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2011, 91 (06) :493-515

[2]

Alexandrov V.M., 1985, CONTACT PROBLEMS SOL

[3] Frictionless and adhesive nanoindentation: Asymptotic modeling of size effects [J].

Argatov, I. .

MECHANICS OF MATERIALS, 2010, 42 (08) :807-815

[4] Approximate Solution of an Axisymmetric Contact Problem with Allowance for Tangential Displacements on the Contact Surface [J].

I. I. Argatov .

Journal of Applied Mechanics and Technical Physics, 2004, 45 (1) :118-123

[5]

Argatov I. I., 2004, J MACHINERY MANUFACT, V6, P31

[6]

AVILKIN VI, 1985, PMM-J APPL MATH MEC+, V49, P770

[7]

CLARKE I C, 1971, Journal of Bone and Joint Surgery British Volume, V53, P732

[8] ELASTIC CONTACT VERSUS INDENTATION MODELING OF MULTILAYERED MATERIALS [J].

GAO, HJ ;

CHIU, CH ;

LEE, J .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1992, 29 (20) :2471-2492

[9]

Giannakopoulos A. E, 1994, INT J SOLIDS STRUCT, V34, P2392

[10]

Gradshteyn I S., 2007, Tables of Integrals, Series and Products, V(eds)

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