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A simple nonlinear constitutive model based on non-associative plasticity for UD composites: development and calibration using a Modified Arcan Fixture

A simple nonlinear constitutive model based on non-associative plasticity for UD composites: development and calibration using a Modified Arcan Fixture
A simple nonlinear constitutive model based on non-associative plasticity for UD composites: development and calibration using a Modified Arcan Fixture

A simple nonlinear constitutive model based on non-associative plasticity for unidirectional (UD) composites is developed and calibrated using a Modified Arcan Fixture (MAF) and Digital Image Correlation (DIC). The plasticity model accounts for the nonlinear response of unidirectional composites subjected to multiaxial loading, assuming transverse isotropy and negligible plasticity in the fibre direction. The different responses in transverse tension and compression are accounted for by a Drucker–Prager type yield function to include transverse pressure sensitivity. It is shown that using an associative flow rule leads to the prediction of non-physical plastic strain components, whilst the use of a non-associative flow rule resolves the deficiency of the associative model. The non-associative model is calibrated and verified against biaxial test data obtained from glass/epoxy specimens using the MAF, as well as against off-axis test data available in the literature for two additional composite material systems. The nonlinear stress-strain curves for unidirectional composites subjected to multiaxial stress states predicted by the model are in good agreement with all three sets of experimental data, thus demonstrating the predictive capabilities of the proposed model.

Composites, Modified Arcan Fixture (MAF), Multiaxial loading, Non-associative plasticity, Nonlinear constitutive model
0020-7683
135-147
Laux, Tobias
8afcd5ae-8ebf-46b5-b0d5-5dfaa32e6b73
Gan, Khong Wui
b0c1e988-d375-4bbc-acdc-c77a6da1f904
Dulieu-Barton, Janice M.
9e35bebb-2185-4d16-a1bc-bb8f20e06632
Thomsen, Ole T.
f3e60b22-a09f-4d58-90da-d58e37d68047
Laux, Tobias
8afcd5ae-8ebf-46b5-b0d5-5dfaa32e6b73
Gan, Khong Wui
b0c1e988-d375-4bbc-acdc-c77a6da1f904
Dulieu-Barton, Janice M.
9e35bebb-2185-4d16-a1bc-bb8f20e06632
Thomsen, Ole T.
f3e60b22-a09f-4d58-90da-d58e37d68047

Laux, Tobias, Gan, Khong Wui, Dulieu-Barton, Janice M. and Thomsen, Ole T. (2019) A simple nonlinear constitutive model based on non-associative plasticity for UD composites: development and calibration using a Modified Arcan Fixture. International Journal of Solids and Structures, 162, 135-147. (doi:10.1016/j.ijsolstr.2018.12.004).

Record type: Article

Abstract

A simple nonlinear constitutive model based on non-associative plasticity for unidirectional (UD) composites is developed and calibrated using a Modified Arcan Fixture (MAF) and Digital Image Correlation (DIC). The plasticity model accounts for the nonlinear response of unidirectional composites subjected to multiaxial loading, assuming transverse isotropy and negligible plasticity in the fibre direction. The different responses in transverse tension and compression are accounted for by a Drucker–Prager type yield function to include transverse pressure sensitivity. It is shown that using an associative flow rule leads to the prediction of non-physical plastic strain components, whilst the use of a non-associative flow rule resolves the deficiency of the associative model. The non-associative model is calibrated and verified against biaxial test data obtained from glass/epoxy specimens using the MAF, as well as against off-axis test data available in the literature for two additional composite material systems. The nonlinear stress-strain curves for unidirectional composites subjected to multiaxial stress states predicted by the model are in good agreement with all three sets of experimental data, thus demonstrating the predictive capabilities of the proposed model.

Text
Laux-2018-A simple nonlinear constitutive model based on non associative plasticity for UD composites - Accepted Manuscript
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More information

Accepted/In Press date: 3 December 2018
e-pub ahead of print date: 5 December 2018
Published date: 1 May 2019
Keywords: Composites, Modified Arcan Fixture (MAF), Multiaxial loading, Non-associative plasticity, Nonlinear constitutive model

Identifiers

Local EPrints ID: 428608
URI: http://eprints.soton.ac.uk/id/eprint/428608
ISSN: 0020-7683
PURE UUID: e0ddc1c7-b5c5-479f-9948-241bb26eeded

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Date deposited: 04 Mar 2019 17:30
Last modified: 07 Oct 2020 06:39

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