A mathematical model for viscoelastic properties of biological soft tissue

被引：3
作者：
Xi, Man [1 ]
Yun, Guohong [1 ,2 ,3 ,4 ]
Narsu, B. [2 ,3 ,4 ]
机构：
[1] Inner Mongolia Normal Univ, Biomech Lab Phys Educ Inst, Hohhot 010022, Peoples R China
[2] Inner Mongolia Normal Univ, Coll Phys & Elect Informat, Hohhot 010022, Peoples R China
[3] Inner Mongolia Univ, Inner Mongolia Key Lab Nanosci & Nanotechnol, Hohhot 010022, Peoples R China
[4] Inner Mongolia Univ, Sch Phys Sci & Technol, Hohhot 010022, Peoples R China
来源：
THEORY IN BIOSCIENCES | 2022年 / 141卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Constitutive model; Relaxation; Creep; Strain-strengthening; Viscoelasticity; Parallel fibers; STRESS-RELAXATION; STRAIN; CREEP; BEHAVIOR; LIGAMENT; COLLAGEN;
D O I：
10.1007/s12064-021-00361-7
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A quaternary viscoelastic structure model with two characteristic times is presented to describe the viscoelastic properties of parallel-fibered collagen tissue. The comparison results of model prediction and experimental data of rabbit medial collateral ligaments show that the model could accurately describe viscoelastic behavior such as stress-relaxation, strain-strengthening and creep of bio-soft-tissue within a small scope of errors. To study the biomechanical mechanism of viscoelasticity that biological soft tissue shows, the influence of model parameters on viscoelastic behavior of bio-soft-tissue is analyzed and researched, which indicated that the major influential elements of stress-relaxation in bio-soft-tissue are elastic modulus, relaxation time and strain rate of proteoglycan-rich matrix. The influence of elastic modulus of collagen fibers on stress-relaxation is not significant. However, the nonlinearity of stress-strain curve and viscoelastic behavior of bio-soft-tissue mostly depends on recruitment and reorientation of collagen fibers under external loading.
引用
收藏
页码：13 / 25
页数：13
相关论文
共 18 条
[1]   WATER-CONTENT ALTERS VISCOELASTIC BEHAVIOR OF THE NORMAL ADOLESCENT RABBIT MEDIAL COLLATERAL LIGAMENT [J].
CHIMICH, D ;
SHRIVE, N ;
FRANK, C ;
MARCHUK, L ;
BRAY, R .
JOURNAL OF BIOMECHANICS, 1992, 25 (08) :831-837
[2]   A structural constitutive model for the strain rate-dependent behavior of anterior cruciate ligaments [J].
De Vita, R ;
Slaughter, WS .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (06) :1561-1570
[3]   A constitutive law for the failure behavior of medial collateral ligaments [J].
De Vita, Raffaella ;
Slaughter, William S. .
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY, 2007, 6 (03) :189-197
[4]   Effect of altered matrix proteins on quasilinear viscoelastic properties in transgenic mouse tail tendons [J].
Elliott, DM ;
Robinson, PS ;
Gimbel, JA ;
Sarver, JJ ;
Abboud, JA ;
Iozzo, RV ;
Soslowsky, LJ .
ANNALS OF BIOMEDICAL ENGINEERING, 2003, 31 (05) :599-605
[5]  
Fung Y., 1993, Biomechanics: Mechanical properties of living tissues, P568, DOI DOI 10.1007/978-1-4757-2257-4
[6]   In situ multi-level analysis of viscoelastic deformation mechanisms in tendon collagen [J].
Gupta, H. S. ;
Seto, J. ;
Krauss, S. ;
Boesecke, P. ;
Screen, H. R. C. .
JOURNAL OF STRUCTURAL BIOLOGY, 2010, 169 (02) :183-191
[7]   Nonlinear viscoelasticity in rabbit medial collateral ligament [J].
Hingorani, RV ;
Provenzano, PP ;
Lakes, RS ;
Escarcega, A ;
Vanderby, R .
ANNALS OF BIOMEDICAL ENGINEERING, 2004, 32 (02) :306-312
[8]   Interrelation of creep and relaxation: A modeling approach for ligaments [J].
Lakes, RS ;
Vanderby, R .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1999, 121 (06) :612-615
[9]   STRUCTURAL THEORY FOR THE HOMOGENEOUS BIAXIAL STRESS-STRAIN RELATIONSHIPS IN FLAT COLLAGENOUS TISSUES [J].
LANIR, Y .
JOURNAL OF BIOMECHANICS, 1979, 12 (06) :423-436
[10]   ROLE OF FIBROUS COMPONENTS AND GROUND SUBSTANCE IN MECHANICAL PROPERTIES OF BIOLOGICAL TISSUES - PRELIMINARY INVESTIGATION [J].
MINNS, RJ ;
SODEN, PD ;
JACKSON, DS .
JOURNAL OF BIOMECHANICS, 1973, 6 (02) :153-165
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