[en] Thermomechanical models for thermoplastics address the highly nonlinear constitutive behaviour of semicrystalline polymers using a combination of viscoelastic and viscoplastic theories. This paper introduces a novel thermodynamically consistent quasi-non-linear thermoviscoelastic formulation in finite strain using Maxwell elements with strain-dependent moduli. The novelty encompasses the solution to the convolution integrals arising from quasi-non-linearity and the corresponding internal dissipation. This formulation is intended to produce large non-linearities in the elastic regime, including tension-compression asymmetry, which is apparent in semi-crystalline polymers subjected to thermomechanical cyclic loading. To model thermoviscoplasticity, a Drucker–Prager yield function and a Perzyna-type flow rule are considered. Additionally, reversible Mullins’-type damage as a function of the quasi-non-linear thermoviscoelastic model’s deformation energy to describe the unloading response is considered. The model is formulated in a thermodynamically consistent manner by considering appropriate strain and stress measures in an intermediate configuration. For validation, this model is applied to conventional thermoplastic semicrystalline polymers, polypropylene and thermoplastic polyurethane (TPU). The experimental campaign for calibration and validation consists of Dynamic Mechanical Analyses (DMA) and uniaxial monotonic and cyclic tests in tension and compression. To further elucidate the applicability of this model, validation is performed by comparing numerical results to experimental performance under torsion of 3D-printed TPU specimens at varying strain rates.
H2020 - 862015 - MOAMMM - Multi-scale Optimisation for Additive Manufacturing of fatigue resistant shock-absorbing MetaMaterials H2020 - 958174 - M-ERA.NET3 - ERA-NET for research and innovation on materials and battery technologies, supporting the European Green Deal.
Name of the research project :
2010092- CARBOBRAKE in the context of the M-ERA.Net Join Call 2020 funded by the European Union under the Grant Agreement no. 958174. TPU experimental results were obtained in MOAMMM project which has received funding from the H2020-EU.1.2.1.-FET Open Programme project MOAMMM under grant No 862015. Views and opinions expressed are those of the author(s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the granting authority can be held responsible for them.
Funders :
Walloon Region EC - European Commission Waalse Gewest European Union
Funding number :
2010092- CARBOBRAKE; M-ERA.Net Join Call 2020 funded by the European Union under the Grant Agreement no. 958174; H2020-EU.1.2.1.-FET Open Programme project MOAMMM under grant No 862015
Funding text :
This research has been funded by the Walloon Region under the agreement no. 2010092-CARBOBRAKE in the context of the M-ERA.Net Join Call 2020 funded by the European Union under the Grant Agreement no. 958174. TPU experimental results were obtained in MOAMMM project which has received funding from the H2020-EU.1.2.1.-FET Open Programme project MOAMMM under grant No 862015. Views and opinions expressed are those of the author(s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the granting authority can be held responsible for them.
NOTICE: this is the author’s version of a work that was accepted for publication in International Journal of Solids and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Solids and Structures 321 (2025), DOI: 10.1016/j.ijsolstr.2025.113517
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