Browsing Mathematics (Scholarly Articles) by Subject "Elasticity"
Now showing items 15 of 5

Methodical fitting for mathematical models of rubberlike materials
(The Royal Society Publishing, 20170208)A great variety of models can describe the nonlinear response of rubber to uniaxial tension. Yet an indepth understanding of the successive stages of large extension is still lacking. We show that the response can be ... 
On the third and fourthorder constants of incompressible isotropic elasticity.
(Acoustical Society of America, 20100425)Consider the constitutive law for an isotropic elastic solid with the strainenergy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stressstrain relation can ... 
Slight compressibility and sensitivity to changes in Poisson's ratio
(2012)Finite element simulations of rubbers and biological soft tissue usually assume that the material being deformed is slightly compressible. It is shown here that, in shearing deformations, the corresponding normal stress ... 
Third and fourthorder elasticity of biological soft tissues
(Acoustical Society of America, 20100124)In the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 4144 (2004)] identified W = I2+(A/3)I3+DI22 as the fourthorder expansion of the strainenergy density for incompressible isotropic ... 
Third and fourthorder constants of incompressible soft solids and the acoustoelastic effect.
(Acoustical Society of America, 201002)Acoustoelasticity is concerned with the propagation of smallamplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact nonlinear elasticity are useful for the determination ...