TY - GEN

T1 - Solution approach for coupled diffusion-reaction-deformation problems in anisotropic materials

AU - Hall, R. B.

AU - Gajendran, H.

AU - Masud, A.

AU - Rajagopal, K. R.

PY - 2013

Y1 - 2013

N2 - A capability to model oxidizing carbon-fiber polyimide matrix composites has evolved over the past number of years at Air Force Research Laboratory [1]. Quoting [1] regarding a unidirectional non-woven fibrous layer, without cracks, "The [finite element model] requires mesh sizes in the 1-μm scale and time increments in 1-s steps. A 200-h oxidation simulation with 100-μm oxidation zone size typically requires problem sizes in the order of 100,000 degrees of freedom (DOF) and 720,000 time steps." Because of interest in a number of related problem classes including structural component scales, desire to incorporate process restrictions offered by thermodynamics, and the possible involvement of finite deformations, a mixture theory approach was developed by Hall and Rajagopal [2]. The theory is based on two constituents, an anisotropic viscous fluid and an anisotropic hyperelastic solid, which react with each other. The model considers the comparatively simple cases where conversions of species, including the associated masses, linear and angular momenta, energies and entropies, are limited to interchanges between the original fluid and solid.

AB - A capability to model oxidizing carbon-fiber polyimide matrix composites has evolved over the past number of years at Air Force Research Laboratory [1]. Quoting [1] regarding a unidirectional non-woven fibrous layer, without cracks, "The [finite element model] requires mesh sizes in the 1-μm scale and time increments in 1-s steps. A 200-h oxidation simulation with 100-μm oxidation zone size typically requires problem sizes in the order of 100,000 degrees of freedom (DOF) and 720,000 time steps." Because of interest in a number of related problem classes including structural component scales, desire to incorporate process restrictions offered by thermodynamics, and the possible involvement of finite deformations, a mixture theory approach was developed by Hall and Rajagopal [2]. The theory is based on two constituents, an anisotropic viscous fluid and an anisotropic hyperelastic solid, which react with each other. The model considers the comparatively simple cases where conversions of species, including the associated masses, linear and angular momenta, energies and entropies, are limited to interchanges between the original fluid and solid.

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U2 - 10.1007/978-1-4614-4241-7_12

DO - 10.1007/978-1-4614-4241-7_12

M3 - Conference contribution

AN - SCOPUS:84872865553

SN - 9781461442400

T3 - Conference Proceedings of the Society for Experimental Mechanics Series

SP - 83

EP - 84

BT - Challenges in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials - Proceedings of the 2012 Annual Conference on Experimental and Applied Mechanics

T2 - 2012 Annual Conference on Experimental and Applied Mechanics

Y2 - 11 June 2012 through 14 June 2012

ER -