|
|
|
| AN IMPROVED HYPERELASTIC CONSTITUTIVE MODEL OF RUBBER MATERIALS |
| 1. The Solid Mechanics Center, Beijing University of Aeronautics and Astronautics2. |
|
|
|
|
Abstract The phenomenological constitutive model of incompressible rubber materials is investigated in this paper. The principal of choosing strain-energy function is discussed. The advantages and disadvantages of several models, including the Neo-Hookean formulation, the Mooney formulation, the three-order Rivlin formulation and the Ogden formulation, is mechanically analyzed. Subsequently, an improved form of Rivlin formulation is proposed as , which has three significant advantages: ① in the case of N=1 and small strain, the new function is the same as the strain-energy of the linear elastic incompressible material, and gives a approximately linear shear deformation and a exact linear tension and compression deformation. ②when N≥2, in the condition of small strain, using the new formulation, the strain-energy and shear stress in simple shear experiment are polynomial with γxy as geometric proportion. While using Rivlin formulation, the strain-energy and shear stress τxy under small deformation are polynomial with (γxy)2 as geometric proportion. Besides, when the deformation is small, Rivlin formulation with N=1 provides constant shear module and non-linear relationship in tension and compression. The improved form, compared with the same order Rivlin formulation, shows significant advantages in prediction of test data in single experiment, and has a good performance in the mutual prediction between different tests.
|
|
Received: 03 June 2011
|
|
|
|
|
|
| [1] |
. Three Dimensional Numerical Simulation for Mechanical Behavior of Carbon Black Filled Rubber Composites[J]. , 2013, 34(6): 541-549. |
| [2] |
. RESEARCH ON RANDOM VIBRATION CONTROL THEORY OF SINGLE-DEGREE-OF-FREEDOM STRUCTURE WITH SUPERELASTIC SHAPE MEMORY ALLOY DAMPER[J]. , 2013, 34(5): 493-500. |
| [3] |
;;;. Finite Deformation of Everted Cylindrical Shells Composed of Incompressible neo-Hookean Materials[J]. , 2012, 33(4): 404-407. |
| [4] |
. Delamination in thermohyperelastic plastic IC packaging material[J]. , 2011, 32(5): 459-464. |
| [5] |
. Nonlinear Calculation on the Pressure-filled Telescopic Water Seal Based on the Three Ogden Formula[J]. , 2011, 32(1): 102-107. |
|
|
|
|
2012, Vol. 33 
