✦ LIBER ✦

The superposition of small deformations on large deformations: Measurements of the incremental relaxation modulus for a polyisobutylene solution

✍ Scribed by McKenna, G. B. ;Zapas, L. J.

Publisher: Wiley (John Wiley & Sons)
Year: 1985
Tongue: English
Weight: 450 KB
Volume: 23
Category: Article
ISSN: 0098-1273
DOI: 10.1002/pol.1985.180230816

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The incremental relaxation modulus Δ__G__(t) for a concentrated solution of polyisobutylene has been determined from step‐shear experiments in which a small deformation Δγ was superimposed on a large deformation γ~1~; Δ__G__(t) was found to decrease with increasing γ~1~ and to increase with the time t~e~ after the imposition of the large deformation. It was also observed that the “apparent relaxation specturm” associated with δ__G__(t) narrows and shifts to shorter times when compared to the spectrum associated with the linear viscoelastic relaxation modulus G(t). The results are well described by the nonlinear constitutive equation of the BKZ elastic fluid theory.

📜 SIMILAR VOLUMES

Superposition of small strains on large

Superposition of small strains on large deformations as a probe of nonlinear response in polymers

✍ Gregory B. Mckenna; Louis J. Zapas 📂 Article 📅 1986 🏛 Society for Plastic Engineers 🌐 English ⚖ 439 KB

Uniqueness for the mixed boundary-value

Uniqueness for the mixed boundary-value problem in the theory of small deformations superimposed on large

✍ M. Hayes 📂 Article 📅 1964 🏛 Springer 🌐 English ⚖ 208 KB

Variational principles of the nonlinear

Variational principles of the nonlinear theory of elasticity. Case of superposition of a small deformation on a finite deformation: PMM, vol. 35, n≗ 5, 1971, pp. 848–852

✍ L.M. Zubov 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 371 KB

The fundamental integral for small defor

The fundamental integral for small deformations superposed on finite triaxial extension of a neo-Hookean material

✍ John P. Gallagher; James N. Flavin 📂 Article 📅 1969 🏛 Springer 🌐 English ⚖ 397 KB

Closed form solutions for small deformat

Closed form solutions for small deformations superimposed upon the symmetrical expansion of a spherical shell

✍ James M. Hill 📂 Article 📅 1976 🏛 Springer Netherlands 🌐 English ⚖ 531 KB

For small axially symmetric deformations of isotropic incompressible hyperelastic materials which are superimposed upon the symmetrical expansion of a spherical shell, new closed form solutions are derived without any restrictions on the strain-energy function. These solutions are used to derive the

Closed form solutions for small deformat

Closed form solutions for small deformations superimposed upon the simultaneous inflation and extension of a cylindrical tube

✍ James M. Hill 📂 Article 📅 1976 🏛 Springer Netherlands 🌐 English ⚖ 516 KB

For small deformations of isotropic incompressible hyperelastic materials which are superimposed upon the simultaneous inflation and extension of a cylindrical tube, new closed form solutions are derived without any restrictions on the strain-energy function. These solutions are used to derive the l