On the stability of the nonlinear-elastic cylinder stretching
UDC
539.3EDN
MDXALZAbstract
Applying Blatz and Ко model of compressible nonlinear-elastic material some characteristic features of the cylinder stretching under extra-large deformations were studied. It provides a method to determine the area of constitutive parameters, which presuppose existence of the falling section within the tensile diagram. The analytical study of the stability of solutions corresponding to the falling section was carried out within the framework of the bifurcational approach.
Keywords:
large deformations, nonlinear elasticity, Blatz and Ко materials, stretching, semi-inverse method, stabilityFunding information
Работа выполнена в рамках федеральной целевой программы "Научные и научно-педагогические кадры инновационной России" на 2009-2013 гг. (П361).
References
- Coleman B.D. Necking and Drawing in Polymeric Fibers Under Tension // Archive for Rational Mechanics and Analysis. 1983. Vol. 83. P. 115-137.
- Leonov A.I. A theory of necking in semi-crystalline polymers // Int. Journal of Solids and Structures. 2002. Vol. 39. P. 5913-5926.
- Miller K. How to test very soft biological tissues in extension? // Journal of Biomechanics. 2001. P. 651-657.
- Карякин М.И. Равновесие и устойчивость растягиваемого нелинейно-упругого стержня // Известия ВУЗов. Северо-Кавказский регион. Естественные науки. 2007. №4. С. 22-27.
- Spector S.J. On the Absence of Bifurcation for Elastic Bars in Unixial Tension // Archive for Rational Mechanics and Analysis. 1984. Vol. 85. P. 171-199.
- Blatz P.J., Ko W.L. Application of finite elastic theory to the deformation of rubbery materials // Trans. Soc. Rheology. 1962. Vol. 6. P. 223-251.
- Лурье А.И. Нелинейная теория упругости. М.: Наука, 1980. 512 с.
- Owen N. Some remarks on the stability of the homogeneous deformation for an elastic bar // Journal of Elasticity. 1990. Vol. 23. P. 113-125.
- Карякин М.И. Об особенностях растяжения нелинейно-упругих образцов // Экологический вестник научных центров Черноморского экономического сотрудничества. 2007. №4. С. 43-48.
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Copyright (c) 2010 Александрин М.В., Карякин М.И.
This work is licensed under a Creative Commons Attribution 4.0 International License.
