A thermodynamic framework for constitutive modeling of coupled moisture-mechanical induced damage in partially saturated viscous porous media

Shakiba, Maryam; Darabi, Masoud K.; Al‐Rub, Rashid K. Abu

doi:10.1016/j.mechmat.2016.02.005

Cited by 17 publications

(5 citation statements)

References 16 publications

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“…However, the equations can be easily modified to include the stored and dissipative energies due to mass diffusion. For a detailed derivation of such problem please refer to the previous work of the author (Shakiba et al, 2016).…”

Section: E Finite Element Implementationmentioning

confidence: 99%

“…Several researchers have developed analytical and numerical methods to predict the responses of thermo-chemically aged elastomers considering chemical reactions and mechanical coupling (e.g., (Achenbach & Duarte, 2003;Shaw et al, 2005;Pochiraju & Tandon, 2006;Gigliotti et al, 2011;Steinke et al, 2011;Johlitz et al, 2011;Johlitz & Lion, 2013;Johlitz et al, 2014;Shakiba et al, 2014Shakiba et al, , 2016Lejeunes et al, 2018;Konica & Sain, 2020)). Time-temperature equivalence principles based on the Arrhenius relationship have been extensively used to predict the mechanical, physical, and chemical properties of thermo-chemically aged elastomers (e.g., Wise et al (1995); Gillen et al (2003); Hassine et al (2014)).…”

Section: Introductionmentioning

confidence: 99%

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Physics and chemistry-based constitutive framework for thermo-chemically aged elastomer using phase-field approach

Najmeddine¹,

Shakiba²

2022

Preprint

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We propose a physics and chemistry-based constitutive framework to predict the stress responses of thermo-chemically aged elastomers and capture their brittle failure using the phase-field approach. High-temperature aging in the presence of oxygen causes the macromolecular network of elastomers to undergo complex chemical reactions inducing two main mechanisms: chain-scission and crosslinking. Chemical crosslinking contributes to the stiffening behavior characterizing the brittle response of aged elastomers. In this work, we first modify the Helmholtz free energy to incorporate the effect of thermo-chemically-driven crosslinking processes. Then, we equip the constitutive description with phase-field to capture the induced brittle failure via a strain-based criterion for fracture. We show that our proposed framework is self-contained and requires only four main material properties whose evolution due to thermo-chemical aging is characterized entirely by the change of the crosslink density obtained based on chemical characterization experiments. The developed constitutive framework is first solved analytically for the case of uniaxial tension in a homogeneous bar to highlight the interconnection between all four material properties. Then, the framework is numerically implemented within a finite element (FE) context via a user-element subroutine (UEL) in the commercial FE software Abaqus to simulate more complicated geometries and loading states. The framework is finally validated with respect to a set of experimental results available in the literature. The comparison confirms that the proposed constitutive framework can accurately predict the mechanical response of thermo-chemically aged elastomers. Further numerical examples are provided to demonstrate the effects of evolving material properties on the response of specimens containing pre-existing cracks.

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Section: E Finite Element Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Physics and chemistry-based constitutive framework for thermo-chemically aged elastomer using phase-field approach

Najmeddine¹,

Shakiba²

2022

Preprint

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“…A thermodynamic framework was developed and thermoviscoelastic, thermo-visco-moisture damage, and thermo-viscomechanical damage constitutive relationships were derived (12)(13)(14) to simulate the effects of moisture on asphalt concrete. Recently, Shakiba et al incorporated the effect of pore water pressure on the thermo-viscoelastic response of asphalt concrete coupled with moisture and mechanical continuum damage variables (11). The constitutive relationship, which considers the effect of pore water pressure on nonlinear viscoelastic media, is briefly summarized in this section.…”

Section: Viscoelastic Constitutive Relationships With Consideration Of the Effect Of Pore Water Pressurementioning

confidence: 99%

“…The combined effect of pore water pressure and degradation attributable to moisture diffusion within the solid phase, as well as the thermo-viscoelastic-viscodamage response of asphalt concrete, has recently begun to be investigated. Shakiba et al developed a framework to consider the effect of pore water pressure on a nonlinear viscoelastic solid porous skeleton (11). This framework couples the solid response attributable to moisture and mechanical damage by using the continuum moisture-mechanical damage mechanics (CMMDM) theory to overcome the complexities associated with defining boundary conditions of mixtures and moisture-mechanical couplings.…”

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confidence: 99%

Effect of Pore Water Pressure on Response of Asphalt Concrete

Shakiba

Darabi

Little

2017

Transportation Research Record

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Rapid traffic loading induces pore water pressure inside partially or fully saturated interconnected cracks and voids of asphalt concrete. The induced pore pressure contributes extra stresses within the pavement and accelerates crack evolution and propagation. Crack propagation facilitates diffusion of moisture through the solid phase and accelerates the degradation of the time-dependent stiffness and strength of asphalt concrete. Therefore, it is imperative to consider the coupled effects of pore water pressure, moisture diffusion, and mechanical loading on asphalt concrete pavement. The effect of pore water pressure was considered by using the effective stress concept inside deformable media. Biot’s approach was used and coupled to the nonlinear viscoelastic and viscodamage (moisture and mechanical) constitutive relationships for asphalt concrete. The models were implemented in PANDA, a finite element code developed at Texas A&M University. Capabilities of the proposed framework and constitutive relationships were demonstrated through the simulation of several realistic microstructural representations of asphalt concrete. The results of numerical simulations demonstrated how the effect of pore water pressure can intensify damage within asphalt concrete and reduce its strength. Therefore, this outcome emphasizes the importance of incorporating the effect of pore water pressure in investigating the response of asphalt concrete.

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“…Many researchers have developed models to simulate the response of polymeric and elastomeric materials to environmental conditions (e.g., Soares et al (2008Soares et al ( , 2010; Vieira et al (2014Vieira et al ( , 2011; Breche et al (2016a,b); Wang et al (2010); Han & Pan (2009); Zhao & Zikry (2017); Johlitz et al (2014); Abdelaziz et al (2019); Shakiba & Najmeddine (2021); Xiao & Nguyen (2016); Shakiba et al (2016); Zhao et al (2020)).…”

Section: Introductionmentioning

confidence: 99%

Physics-based Constitutive Modeling of Photo-oxidative Aging in Semi-Crystalline Polymers based on Chemical Characterization Techniques

Najmeddine,

Xu,

Liu

et al. 2021

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This paper proposes a physio-chemically-based constitutive framework to simulate and predict the response of semi-crystalline low-density polyethylene (LDPE) to severe photo-oxidation. Photo-oxidation induced by exposure to Ultra-Violet (UV) light and oxygen is the dominant degradation mechanism affecting the lifespan of LDPE. In this work, we propose evolution functions for the material properties in the constitutive equations of Boyce et al. (2000) to incorporate the effects of photo-oxidation on the mechanical response of LDPE. The evolution functions are based on chemically verified processes that are responsible for material degradation, namely the change in crystallinity and mass loss relative to the initial pristine films over exposure time. Changes in crystallinity and mass loss are characterized by Differential Scanning Calorimetry (DSC) and Quartz Crystal Microbalance with Dissipation Monitoring (QCM-D) experiments, respectively. Connecting the physio-chemical processes affecting polymer network evolution to the mechanical response of LDPE bypasses the need for defining fitting parameters that carry no physical meaning. The developed constitutive framework is validated with respect to a series of in-house uniaxial tensile tests performed on LDPE aged for different UV exposure times. Comparison of the constitutive frame-

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A thermodynamic framework for constitutive modeling of coupled moisture-mechanical induced damage in partially saturated viscous porous media

Cited by 17 publications

References 16 publications

Physics and chemistry-based constitutive framework for thermo-chemically aged elastomer using phase-field approach

Physics and chemistry-based constitutive framework for thermo-chemically aged elastomer using phase-field approach

Effect of Pore Water Pressure on Response of Asphalt Concrete

Physics-based Constitutive Modeling of Photo-oxidative Aging in Semi-Crystalline Polymers based on Chemical Characterization Techniques

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