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Determination of Mooney material constants for highly nonlinear isotropic incompressible materials under large elastic deformations

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References

  1. Bathe, K.J., Ozdemir, H., and Wilson, E.L., “Static and Dynamic Geometric and Material Nonlinear Analysis,” Report #UC SESM 74-4, University of California, Berkeley (1974).

    Google Scholar 

  2. Bathe, K.J., Wilson, E.L., and Iding, R.H., “A Structural analysis program of statics and Dynamic response of nonlinear systems,” Report #UC SESM 74-3, University of California, Berkeley (1974).

    Google Scholar 

  3. Chadwick, P., “The Existence and Uniqueness of Solutions to Two Problems in the Mooney-Rivlin Theory for Rubber,” J. Elasticity, 2(2), 123–128 (1972).

    Article  Google Scholar 

  4. Chen, T.L. and Durelli, “Stress Field in Sphere Subjected to Large Deformations,” Int. J. Solid Structures, 9, 1035–1052 (1973).

    Article  Google Scholar 

  5. Eringen, A.C., Non-linear Theory of Continuous Media. McGraw-Hill, NY (1962).

    Google Scholar 

  6. Gent, A.N. and Thomas, A.G., “Forms for the Stored (Strain) Energy Function for Vulcanized Rubber,” J. Polymer Sci., 28, 626–628 (1958).

    Google Scholar 

  7. Green, A.E. and Adkins, J.E., Large Elastic Deformation. A Nonlinear Continuum Mechanics, Oxford (1960).

  8. Green, A.E. and Zerna, W., Theoretical Elasticity, Oxford (1954).

  9. Humphrey, J.D., Halperin, H.R., and Yin, F.C.P., “Small Indentation Superimposed on a Finite Equibiaxial Stretch: Implications for Cardiac Mechanics,” J. Appl. Mechanics, 58, 1108–1111 (1991).

    Article  Google Scholar 

  10. Iding, R.H., “Identification of Nonlinear Materials by Finite Element Methods,” Report #UC SESM 73-4, University of California, Berkeley (1973).

    Google Scholar 

  11. Mooney, M., “A Theory of Large Deformation,” J. Applied Physics, II, 582–592 (1940).

    Article  Google Scholar 

  12. Oden, J.T., Finite Elements of Nonlinear Continua, McGraw-Hill, New York (1972).

    Google Scholar 

  13. Ogden, R.W., Non-linear Elastic Deformation, Ellis Horwood Limited Publishers, Chichester (1982).

    Google Scholar 

  14. Ogden, R.W., “Large Deformation Isotropic Elasticity — On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids,” Proc. Roy. Soc. London, A. 326, 565–584 (1972).

    Article  Google Scholar 

  15. Rivlin, R.S., “Large Elastic Deformations of Isotropic Materials,” Phil. Trans. A, 240, 459–490 (1948).

    Article  Google Scholar 

  16. Rivlin, R.S., “Large Elastic Deformations of Isotropic Materials, IV. Further Developments of the General Theory,” Phil. Trans. A, 241, 379–397 (1948).

    Article  Google Scholar 

  17. Rivlin, R.S., “Large Elastic Deformations of Isotropic Materials, V. The Problem of Flexure,” Proc. Roy. Soc. A, 195, 463–473 (1949).

    Article  Google Scholar 

  18. Rivlin, R.S., “Large Elastic Deformations of Isotropic Materials, VI. Further Results in the Theory of Torsion, Shear and Flexure,” Phil. Trans. A., 242, 173–195 (1949).

    Article  Google Scholar 

  19. Rivlin, R.S. and Saunders, D.W., “Large Elastic Deformations of Isotropic Materials, VII. Experiments on the Deformation of Rubber,” Phil. Trans. A, 243, 251–288 (1951).

    Article  Google Scholar 

  20. Rivlin, R.S. and Thomas, A.G., “Large Elastic Deformations of Isotropic Materials, VIII. Strain Distribution Around a Hole in a Sheet,” Phil. Trans. A, 243, 289–298 (1951).

    Article  Google Scholar 

  21. Treloar, L.R.G., The Mechanics of Rubber Elasticity. Proc. Roy. Soc. London. A, 351, 301–330 (1976).

    Article  Google Scholar 

  22. Vaishnav, R.N. and Vossoughi, J., “Incremental Formulation in Vascular Mechanics,” J. Biomechanical Engineering, 106, pp 105–111 (1984).

    Article  Google Scholar 

  23. Vossoughi, J., “Thickness Measurement for Soft Rubber,” EXPERIMENTAL TECHNIQUES, 8(9), 32–33 (1984).

    Article  Google Scholar 

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Vossoughi, J. Determination of Mooney material constants for highly nonlinear isotropic incompressible materials under large elastic deformations. Exp Tech 19, 24–27 (1995). https://doi.org/10.1111/j.1747-1567.1995.tb00844.x

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