We present a general approach to the derivation of the explicit expression of tangent operators, consistent with the finite-step integration schemes of the flow rule, for rate-independent elastoplastic models with mixed hardening. By exploiting the model of generalized standard material, we show tha
Constitutive approach to rate-independent properties of filled elastomers
โ Scribed by M. Kaliske; H. Rothert
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 914 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0020-7683
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โฆ Synopsis
Filled rubber material is used in many technical applications. These structures are often subjected to dynamic loading. Apart from the material's stiffness characteristics dissipative properties are of great importance. At high frequencies rubber material behaves mainly viscoelastically. But at low strain-rate the response is nearly rate-independent. This observation can be interpreted as "internal material friction" and is dealt with in the following article. A constitutive approach is presented, which can be motivated by investigations on the molecular level. This phenomenological description is composed of an elastic model--idealized as an elastic spring--and elasto-plastic Prandtl-elements in parallel. The formulation is derived for small and finite strains. The large strain case is based on a multiplicative decomposition of the deformation gradient. Experimental results and numerical simulations are presented utilizing a mixed finite element formulation to give a robust algorithm and reliable results.
๐ SIMILAR VOLUMES
## Abstract In addition to the first part we prove independently of the model some theorems on properties of balanced block designs. Then we propose nine methods of construction of BIB and prove theorems in connection with these methods. In a table we give a survey on block designs with __v__$25 an