A corotational flat triangular element for large strain analysis of thin shells with application to soft biological tissues

2014 ◽  
Vol 54 (3) ◽  
pp. 847-864 ◽  
Author(s):  
Federica Caselli ◽  
Paolo Bisegna
Keyword(s):  
Large Strain ◽  
Strain Analysis ◽  
Biological Tissues ◽  
Triangular Element ◽  
Thin Shells ◽  
Soft Biological Tissues

Concise formulas for strain analysis of soft biological tissues

2017 ◽  
Vol 53 (7) ◽  
pp. 908-915 ◽  
Author(s):  
Yu. V. Vassilevski ◽  
V. Yu. Salamatova ◽  
A. V. Lozovskiy
Keyword(s):  
Strain Analysis ◽  
Biological Tissues ◽  
Soft Biological Tissues

ON FIXED-STRESS AND FIXED-STRAIN SOLUTION SCHEMES FOR LARGE STRAIN POROELASTICITY APPLIED TO SOFT BIOLOGICAL TISSUES

2021 ◽  
Author(s):  
José Luís Medeiros Thiesen ◽  
Bruno Klahr ◽  
Thiago André Carniel ◽  
Eduardo Fancello
Keyword(s):  
Large Strain ◽  
Biological Tissues ◽  
Soft Biological Tissues

scholarly journals Mathematical modeling and simulations for large-strain J-shaped diagrams of soft biological tissues

2018 ◽  
Author(s):  
K. Mitsuhashi ◽  
S. Ghosh ◽  
H. Koibuchi
Keyword(s):  
Degrees Of Freedom ◽  
Large Strain ◽  
Finsler Geometry ◽  
Biological Tissues ◽  
Strain Diagram ◽  
Stress Strain ◽  
Soft Biological Tissues ◽  
Stress Region ◽  
Animal Skin ◽  
2D And 3D

Herein, we study stress-strain diagrams of soft biological tissues such as animal skin, muscles and arteries by Finsler geometry (FG) modeling. The stress-strain diagram of these biological materials is always J-shaped and is composed of toe, heel, linear and failure regions. In the toe region, the stress is zero, and the length of this zero-stress region becomes very large (≃ 150%) in, for example, certain arteries. In this paper, we study long-toe diagrams using two-dimensional (2D) and 3D FG modeling techniques and Monte Carlo (MC) simulations. We find that except for the failure region, large-strain J-shaped diagrams are successfully reproduced by the FG models. This implies that the complex J-shaped curves originate from the interaction between the directional and positional degrees of freedom of polymeric molecules, as implemented in the FG model.

Propagation of surface acoustic waves in the models of soft biological tissues

1992 ◽  
Vol 25 (7) ◽  
pp. 814
Author(s):  
Vladimir V. Shorokhov ◽  
Vadim N. Voronkov ◽  
Alexander N. Klishko
Keyword(s):  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Biological Tissues ◽  
Soft Biological Tissues

Spherical indentation load-relaxation of soft biological tissues

2006 ◽  
Vol 21 (8) ◽  
pp. 2003-2010 ◽  
Author(s):  
Jason M. Mattice ◽  
Anthony G. Lau ◽  
Michelle L. Oyen ◽  
Richard W. Kent
Keyword(s):  
Costal Cartilage ◽  
Kidney Tissue ◽  
Biological Tissues ◽  
Indentation Load ◽  
Spherical Indentation ◽  
Load Relaxation ◽  
Soft Biological Tissues ◽  
Long Time ◽  
Constant Displacement ◽  
Soft Biological Materials

Elastic-viscoelastic correspondence was used to generate displacement–time solutions for spherical indentation testing of soft biological materials with time-dependent mechanical behavior. Boltzmann hereditary integral operators were used to determine solutions for indentation load-relaxation following a constant displacement rate ramp. A “ramp correction factor” approach was used for routine analysis of experimental load-relaxation data. Experimental load-relaxation tests were performed on rubber, as well as kidney tissue and costal cartilage, two hydrated soft biological tissues with vastly different mechanical responses. The experimental data were fit to the spherical indentation ramp-relaxation solutions to obtain values of short- and long-time shear modulus and of material time constants. The method is used to demonstrate linearly viscoelastic responses in rubber, level-independent indentation results for costal cartilage, and age-independent indentation results for kidney parenchymal tissue.

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