Investigating full-field deformation of planar soft tissue under simple-shear tests

Guo, Deng-Lin; Chen, Bo-Shao; Liou, Nai-Shang

doi:10.1016/j.jbiomech.2006.04.013

Cited by 13 publications

(8 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Technically, the two tests have different characteristics and are suited for different applications. For example, simple shear test was used to measure the in-plane shear properties of planar soft tissues 14,15. Simple shear test has also been reported to test very small samples, such as 3 mm × 3 mm × 3 mm passive ventricular myocardium extracted from pig hearts 8,9.…”

Section: Introductionmentioning

confidence: 99%

“…Because their stiffness is quite low at zero strain state, the deformation due to gravity can be significant. It is well known that stress–strain state on the tissue around the platen or clamps is complicated 2,15. The effect of gravity makes the deformation field non-uniform even on the central portion of the tissue in a tension, compression, or pure shear test.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Constitutive Modeling of Liver Tissue: Experiment and Theory

2009

View full text Add to dashboard Cite

Realistic surgical simulation requires incorporation of the mechanical properties of soft tissue in mathematical models. In actual deformation of soft-tissue during surgical intervention, the tissue is subject to tension, compression, and shear. Therefore, characterization and modeling of soft-tissue in all these three deformation modes are necessary. In this paper we applied two types of pure shear test, unconfined compression and uniaxial tension test to characterize porcine liver tissue. Digital image correlation technique was used to accurately measure the tissue deformation field. Due to gravity and its effect on the soft tissue, a maximum stretching band was observed from the relative strain field on sample undergoing tension and pure shear test. The zero strain state was identified according to the position of this maximum stretching band. Two new constitutive models based on combined exponential/logarithmic and Ogden strain energy were proposed. The models are capable to represent the observed non-linear stress–strain relation of liver tissue for full range of tension and compression and also the general response of pure shear.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Constitutive Modeling of Liver Tissue: Experiment and Theory

2009

View full text Add to dashboard Cite

show abstract

“…incompressible material, the principal Cauchy stresses can be determined from: (15) Because the material is incompressible, the hydrostatic pressure p is decoupled from the deformation and has to be calculated directly from the equilibrium equations. Substituting (14) into (15), we have the principal Cauchy stresses for combined logarithmic and Ogden model as: (16) Uniaxial tension and compression: Let λ 1 = λ be the stretch ratio in the direction of tension or compression, and σ 1 = σ the corresponding principal Cauchy stress.…”

Section: Constitutive Equations For Combined Logarithmic and Ogden Momentioning

confidence: 99%

“…For example, simple shear test was used to measure the in-plane shear properties of planar soft tissues. 14, 15 Simple shear test has also been reported to test very small samples, such as 3 mm × 3 mm × 3 mm passive ventricular myocardium extracted from pig hearts. 8 , 9 The pure shear test is like a very wide tension test.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modeling of liver tissue: Experiment and theory

Gao

Lister

Desai

2008

2008 2nd IEEE RAS &Amp; EMBS International Conference on Biomedical Robotics and Biomechatronics

View full text Add to dashboard Cite

Realistic surgical simulation requires incorporation of the mechanical properties of soft tissue in mathematical models. In actual deformation of soft-tissue during surgical intervention, the tissue is subject to tension, compression, and shear. Therefore, characterization and modeling of soft-tissue in all these three deformation modes are necessary. In this paper we applied two types of pure shear test, unconfined compression and uniaxial tension test to characterize porcine liver tissue. Digital image correlation technique was used to accurately measure the tissue deformation field. Due to gravity and its effect on the soft tissue, a maximum stretching band was observed from the relative strain field on sample undergoing tension and pure shear test. The zero strain state was identified according to the position of this maximum stretching band. Two new constitutive models based on combined exponential/logarithmic and Ogden strain energy were proposed. The models are capable to represent the observed non-linear stress-strain relation of liver tissue for full range of tension and compression and also the general response of pure shear.

show abstract

“…See also Holzapfel and Ogden [9] for a discussion of planar biaxial testing of anisotropic nonlinearly elastic materials. Other examples of applications of simple shear to the biomechanics of soft tissues are the works of Schmid et al [28,29] on myocardial material parameter estimation, Guo et al [7] on porcine skin and that of Gardiner and Weiss [6] on human medial collateral ligaments. Material anisotropy is an essential component of any mathematical model of soft tissue that has good predictive capability.…”

Section: Introductionmentioning

confidence: 99%

On the Normal Stresses in Simple Shearing of Fiber-Reinforced Nonlinearly Elastic Materials

Horgan

Murphy

2011

J Elast

View full text Add to dashboard Cite

We are concerned with a particular aspect of the simple shear problem within the framework of nonlinear elasticity for a class of incompressible transversely-isotropic fiberreinforced materials. It is well known that, for isotropic hyperelastic materials, the normal stress effect characteristic of nonlinear elasticity is crucial in order to maintain a homogeneous deformation state in the bulk of the specimen. For the fiber-reinforced materials of concern here, we show that the confining traction that needs to be applied to the top and bottom faces of a block in order to maintain simple shear can be compressive or tensile depending on the degree of anisotropy and on the angle of orientation of the fibers. Inclusion of the second invariant in the isotropic part of the strain-energy used is shown to be of crucial importance in assessing the nature of the confining traction. In the absence of such an applied traction, an unconfined sample tends to bulge outwards or contract inwards perpendicular to the direction of shear. The character of the normal component of traction on the inclined faces is also investigated. The results are relevant to the development of accurate shear test protocols for the determination of constitutive properties of fiber-reinforced rubber-like materials and fibrous biological soft tissues.Keywords Simple shear · Nonlinear elasticity · Fiber-reinforced materials · Transversely isotropic materials · Normal stress effect · Second invariant for isotropic matrix material Mathematics Subject Classification (2000) 74B20 · 74G55Dedicated to the memory of Don Carlson.

show abstract

Investigating full-field deformation of planar soft tissue under simple-shear tests

Cited by 13 publications

References 6 publications

Constitutive Modeling of Liver Tissue: Experiment and Theory

Constitutive Modeling of Liver Tissue: Experiment and Theory

Constitutive modeling of liver tissue: Experiment and theory

On the Normal Stresses in Simple Shearing of Fiber-Reinforced Nonlinearly Elastic Materials

Contact Info

Product

Resources

About