Novel integrable reductions in nonlinear continuum mechanics via geometric constraints

2003 ◽  
Vol 44 (8) ◽  
pp. 3341-3369 ◽  
Author(s):  
C. Rogers ◽  
W. K. Schief
Keyword(s):  
Continuum Mechanics ◽  
Geometric Constraints ◽  
Nonlinear Continuum Mechanics ◽  
Nonlinear Continuum

The Convexity Properties of the Fung Model for Soft Tissues

2001 ◽  
Author(s):  
J. Patrick Wilber ◽  
Jay R. Walton
Keyword(s):  
Mechanical Properties ◽  
Nonlinear Elasticity ◽  
Continuum Mechanics ◽  
Soft Tissues ◽  
Basic Tool ◽  
Nonlinear Continuum Mechanics ◽  
Pathological Conditions ◽  
Convexity Properties ◽  
Nonlinear Continuum ◽  
Fung Model

Abstract During the last three decades, the theory of nonlinear elasticity has been used extensively to model biological soft tissues. The now widely accepted belief that an understanding of the mechanical properties of these tissues is critical in order to understand the advent, progression, and treatment of disease has driven this research. More recently, those interested in how soft tissues grow and remodel themselves in response to both normal and pathological conditions have used nonlinear continuum mechanics as a basic tool.

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