›› 2006, Vol. 27 ›› Issue (S1): 35-39.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Hyperbolic model for one-dimensional large strain constitutive relations of Jaumann rate-type

DING Zhou-xiang, ZHU He-hua   

  1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China
  • Received:2006-07-20 Published:2006-12-15

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Abstract: The exact analytical solution to the constitutive relation of Jaumann rate-type has not yet been found in the magnitudes of stress and strain. The variation of Kirchhoff stress with Green strain for one-dimensional large strain problems was studied using finite-element method. Based on the principle of virtual work, the large strain FEM was formulated in terms of total Lagrangian description. A new hyperbolic model for simulating the large strain constitutive relations was put forward along with the rearrangement method of secant modulus. The results of numerical simulation show that the presented hyperbolic model can fit the large strain constitutive relation nicely. The initial void ratio has considerable influence on the computational large strain constitutive relations.

Key words: constitutive equations of Jaumann rate-type, large strain finite-element method, hyperbolic model, rearrangement method of secant modulus

CLC Number: 

  • TB 115
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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