Articular Contact Mechanics from an Asymptotic Modeling Perspective: AReview

被引:4
作者
Argatov, Ivan [1 ]
Mishuris, Gennady [2 ]
机构
[1] Tech Univ Berlin, Inst Mech, Berlin, Germany
[2] Aberystwyth Univ, Inst Math & Phys, Ceredigion, Wales
基金
欧盟地平线“2020”;
关键词
BIPHASIC CARTILAGE LAYERS; INTERSTITIAL FLUID PRESSURIZATION; SQUEEZE-FILM LUBRICATION; HUMAN KNEE; MULTIBODY MODEL; SYNOVIAL-FLUID; JOINT CONTACT; MATRIX DAMAGE; SOFT-TISSUES; BEHAVIOR;
D O I
10.3389/fbioe.2016.00083
中图分类号
Q81 [生物工程学(生物技术)]; Q93 [微生物学];
学科分类号
071005 ; 0836 ; 090102 ; 100705 ;
摘要
In the present paper, we review the current state-of-the-art in asymptotic modeling of articular contact. Particular attention has been given to the knee joint contact mechanics with a special emphasis on implications drawn from the asymptotic models, including average characteristics for articular cartilage layer. By listing a number of complicating effects such as transverse anisotropy, non-homogeneity, variable thickness, nonlinear deformations, shear loading, and bone deformation, which may be accounted for by asymptotic modeling, some unsolved problems and directions for future research are also discussed.
引用
收藏
页数:9
相关论文
共 106 条
[1]   Effects of idealized joint geometry on finite element predictions of cartilage contact stresses in the hip [J].
Anderson, Andrew E. ;
Ellis, Benjamin J. ;
Maas, Steve A. ;
Weiss, Jeffrey A. .
JOURNAL OF BIOMECHANICS, 2010, 43 (07) :1351-1357
[2]   An asymptotic model for a thin bonded elastic layer coated with an elastic membrane [J].
Argatov, I. ;
Mishuris, G. .
APPLIED MATHEMATICAL MODELLING, 2016, 40 (04) :2541-2548
[3]   A phenomenological model of damage in articular cartilage under impact loading [J].
Argatov, I. ;
Mishuris, G. .
MECHANICS RESEARCH COMMUNICATIONS, 2015, 69 :87-90
[4]   Contact problem for a thin elastic layer with variable thickness: Application to sensitivity analysis of articular contact mechanics [J].
Argatov, I. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (18-19) :8383-8393
[5]   Frictionless elliptical contact of thin viscoelastic layers bonded to rigid substrates [J].
Argatov, I. ;
Mishuris, G. .
APPLIED MATHEMATICAL MODELLING, 2011, 35 (07) :3201-3212
[6]   Elliptical contact of thin biphasic cartilage layers: Exact solution for monotonic loading [J].
Argatov, I. ;
Mishuris, G. .
JOURNAL OF BIOMECHANICS, 2011, 44 (04) :759-761
[7]  
Argatov I., 2015, 3 POL C MECH SEPT 8
[8]   Impact problem for the quasi-linear viscoelastic standard solid model [J].
Argatov, I. I. ;
Selyutina, N. S. ;
Mishuris, G. S. .
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, 2016, 51 (04) :294-303
[9]   Asymptotic modelling of the JKR adhesion contact for a thin elastic layer [J].
Argatov, I. I. ;
Mishuris, G. S. ;
Popov, V. L. .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2016, 69 (02) :161-179
[10]   AN ASYMPTOTIC MODEL FOR A THIN BIPHASIC POROVISCOELASTIC LAYER [J].
Argatov, I. I. ;
Mishuris, G. S. .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2015, 68 (03) :289-297