Abstract
An efficient numerical integration scheme is proposed for the uniaxial loading of the two-layer viscoplastic (TLVP) model, which is a built-in material model in the commercial finite element software Abaqus. The particular version of the TLVP model under investigation is governed by linear isotropic plastic hardening rule with time-hardening nonlinear creep law. The new integration scheme can be easily implemented in any programming environment leading to a fast and robust tool to obtain the stress response in uniaxial loading for a given input strain history. The accuracy of the proposed algorithm is demonstrated and validated by comparing the results obtained with it to those calculated by Abaqus. A new calibration software with a graphical user interface is developed, which can fit the material parameters to the experimental data with arbitrary strain history in a uniaxial loading case. The new software is freely available to download from the webpage of the authors, and it is free to use for research purposes. The excellent performance of the new program is demonstrated by fitting the material parameters to three distinct experimental data sets.
Highlights
Constitutive modelling of polymer materials usually involves elas ticity, plasticity and creep in the formulation of the mechanical behavior
This paper aims to overcome this problem by presenting a robust numerical integration scheme to calculate the stress response, in uniaxial loading cases, of the two-layer viscoplastic model (TLVP) model with linear isotropic hard ening and time-hardening creep law
We have proposed an implicit time integration scheme for the twolayer viscoplastic model in one-dimensional uniaxial extension
Summary
Constitutive modelling of polymer materials usually involves elas ticity, plasticity and creep in the formulation of the mechanical behavior. We can use numerous theories and models to characterize the elastic, plastic, and creep behaviors of materials. The researchers continuously propose novel spe cific models to characterize the mechanical behavior of their materials under investigation. This implies that we have an increasing number of viscoelastic-viscoplastic models available in the literature. We have no general uniform model we can use for any kind of materials showing viscoelastic-viscoplastic characteristics It would be beneficial for the users in the industrial and research areas if they could use a non-linear viscoelastic-viscoplastic model, which is available in a commercial finite element software. Upper index “” refers to the elastic-plastic network, whereas upper index “ve” corresponds to the viscoelastic branch
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