Details
| Original language | English |
|---|---|
| Pages (from-to) | 418-435 |
| Number of pages | 18 |
| Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Volume | 90 |
| Issue number | 5 |
| Publication status | Published - May 2010 |
Abstract
A constitutive model for the numerical simulation of rubber behavior in a wide frequency range is presented. The combination between the well known Simo's viscoelastic model and a pseudo-elastic approach enables for the modeling of inelastic effects at low frequencies, such as nonlinear elasticity, hysteretic behavior, and damage (Mullins effect). The constitutive formulation is derived in detail with an aim of the finite element implementation. Because mechanical response at high frequencies is usually characterized by complex modulus, the developed viscoelastic damage model is extended to high-frequency analysis. A key idea is the decomposition of the deformation gradient into linear and nonlinear part. The nonlinear part is associated with inelastic deformations established at low frequencies, while the linear contribution plays an important role for dynamic analysis at high frequencies. As a result, the steady-state response of rubber at a certain static deformation is evaluated and consequently leads to the numerical solution for complex modulus. The computational efficiency of the proposed model can be seen from a good agreement with experimental data.
Keywords
- Complex modulus, Mullins effect, Pseudo-elasticity, Rubber elasticity, Viscoelasticity
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Mathematics(all)
- Applied Mathematics
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In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 90, No. 5, 05.2010, p. 418-435.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the constitutive modeling of reinforced rubber in a broad frequency domain
AU - Suwannachit, Anuwat
AU - Nackenhorst, Udo
PY - 2010/5
Y1 - 2010/5
N2 - A constitutive model for the numerical simulation of rubber behavior in a wide frequency range is presented. The combination between the well known Simo's viscoelastic model and a pseudo-elastic approach enables for the modeling of inelastic effects at low frequencies, such as nonlinear elasticity, hysteretic behavior, and damage (Mullins effect). The constitutive formulation is derived in detail with an aim of the finite element implementation. Because mechanical response at high frequencies is usually characterized by complex modulus, the developed viscoelastic damage model is extended to high-frequency analysis. A key idea is the decomposition of the deformation gradient into linear and nonlinear part. The nonlinear part is associated with inelastic deformations established at low frequencies, while the linear contribution plays an important role for dynamic analysis at high frequencies. As a result, the steady-state response of rubber at a certain static deformation is evaluated and consequently leads to the numerical solution for complex modulus. The computational efficiency of the proposed model can be seen from a good agreement with experimental data.
AB - A constitutive model for the numerical simulation of rubber behavior in a wide frequency range is presented. The combination between the well known Simo's viscoelastic model and a pseudo-elastic approach enables for the modeling of inelastic effects at low frequencies, such as nonlinear elasticity, hysteretic behavior, and damage (Mullins effect). The constitutive formulation is derived in detail with an aim of the finite element implementation. Because mechanical response at high frequencies is usually characterized by complex modulus, the developed viscoelastic damage model is extended to high-frequency analysis. A key idea is the decomposition of the deformation gradient into linear and nonlinear part. The nonlinear part is associated with inelastic deformations established at low frequencies, while the linear contribution plays an important role for dynamic analysis at high frequencies. As a result, the steady-state response of rubber at a certain static deformation is evaluated and consequently leads to the numerical solution for complex modulus. The computational efficiency of the proposed model can be seen from a good agreement with experimental data.
KW - Complex modulus
KW - Mullins effect
KW - Pseudo-elasticity
KW - Rubber elasticity
KW - Viscoelasticity
UR - http://www.scopus.com/inward/record.url?scp=77951738347&partnerID=8YFLogxK
U2 - 10.1002/zamm.200900360
DO - 10.1002/zamm.200900360
M3 - Article
AN - SCOPUS:77951738347
VL - 90
SP - 418
EP - 435
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - 5
ER -