Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface

被引：8

作者：

Utzinger, J. ^{[1
]}

Menzel, A. ^{[2
,3
]}

Steinmann, P. ^{[4
]}

Benallal, A. ^{[5
]}

机构：

[1] TU Kaiserslautern, Lehrstuhl Tech Mech, D-67653 Kaiserslautern, Germany

[2] TU Dortmund, Fachgebiet Mech Insbesondere Maschinendynam, D-44227 Dortmund, Germany

[3] Lund Univ, Div Solid Mech, SE-22100 Lund, Sweden

[4] Univ Erlangen Nurnberg, Lehrstuhl Tech Mech, D-91058 Erlangen, Germany

[5] Univ Paris 06, CNRS, ENS Cachan, LMT Cachan, F-94235 Cachan, France

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2008年 / 27卷 / 04期

关键词：

interface; bifurcation; boundary value problem;

D O I：

10.1016/j.euromechsol.2007.11.001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This manuscript investigates possible bifurcations into stationary wave-type solutions in situations where an isotropic elastic bulk is bonded by a non-coherent orthotropic interface to a rigid substrate. The interface is characterised by a traction-separation-law capturing elastic and inelastic material behaviour. Based on an ansatz for stationary waves at the surface of the bulk being connected to the interface, a bifurcation condition is elaborated. Thereby, the orthotropy of the interface is taken into account by considering the fully three-dimensional elastic half space and allowing for arbitrary orientations of the stationary wave-type solutions with respect to the interface co-ordinate system. The bifurcation condition is studied under the assumption of prevailing ellipticity in the bulk for a number of different examples. The results are graphically explored. (c) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：532 / 547

页数：16

共 39 条

[1]

[Anonymous], 1997, TEXTS MONOGRAPHS PHY

[2] A new formulation and C0-implementation of dynamically consistent gradient elasticity [J].

Askes, Harm ;

Bennett, Terry ;

Aifantis, Elias C. .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2007, 72 (01) :111-126

[3]

BAZANT ZP, 1991, J ENG MECH-ASCE, V117, P1070

[4]

BAZANT ZP, 1988, ASME, V55, P287

[5]

BENALLAL A, 1990, CR ACAD SCI II, V310, P679

[6] On interfacial properties in gradient damaging continua [J].

Benallal, A ;

Comi, C .

COMPTES RENDUS MECANIQUE, 2005, 333 (04) :319-324

[7]

BENALLAL A, 1989, CR ACAD SCI II, V308, P893

[8]

BENALLAL A, 1992, CISM COURSES LECT, V327, P1

[9]

BENALLAL A, 1992, COMPUTATIONAL PLASTI, P581

[10] Effect of interfacial compliance on bifurcation of a layer bonded to a substrate [J].

Bigoni, D ;

Ortiz, M ;

Needleman, A .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (33-34) :4305-4326

← 1 2 3 4 →