On the constitutive modelling of elasto-plastic self-healing materials

Subramanian, Harini; Mulay, Shantanu S.

doi:10.1016/j.ijsolstr.2021.111289

Cited by 6 publications

(9 citation statements)

References 38 publications

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“…Isotropic damage and healing variables are defined to quantify the damaged and healed areas in the loaded material. The global damage and local healing variables are defined as [10][11][12]15 (1) Where, dA D is the cross-sectional area undergoing damage, dA is the area of unloaded virgin material, and is the healing in the damaged area. The secondary damage variable for healed material damage is defined as [10][11][12] (2) where, is the damaged-healed area undergoing redamage.…”

Section: Damage Mechanics For Self-healingmentioning

confidence: 99%

“…CDM-based damage-healing models have also been proposed using a consistent thermodynamic framework for glassy polymers and polymer matrix composites [7][8] . The plastic, viscoelastic, or visco-plastic response of the material is modelled by the appropriate definition of the Helmholtz free energy function 5,[9][10][11][12] .…”

Section: Introductionmentioning

confidence: 99%

“…This f cannot capture the complete material failure (drawback), as it does not track damage occurring in a healed material. This limitation is overcome by proposing a secondary damage variable capturing degradation in a healed material [10][11][12] , where is proposed. The novelty of the present work is the development of an elastic damage-healing model with an implicit energybased damage evolution function such that a threshold energy governs damage initiation.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Elastic Damage Healing Model Coupling Secondary Damage Variable for Self Healing Materials

Subramanian,

Mulay

2024

Def. Sc. J.

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A one-dimensional constitutive model, based on the principles of continuum damage mechanics, is developed for capturing healing in certain materials during unloading and rest periods. A secondary damage variable is defined to address the drawback of existing models for damage and healing in capturing the complete material failure. An energy-based damage evolution function is adopted for primary and secondary damage variables, and phenomenological healing evolution is defined. The proposed implicit elastic damage-healing model is implemented by the return-mapping technique, and the model response is demonstrated for different loading histories.

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Section: Damage Mechanics For Self-healingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Elastic Damage Healing Model Coupling Secondary Damage Variable for Self Healing Materials

Subramanian,

Mulay

2024

Def. Sc. J.

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“…Wang et al [ 30 ] used the Mazars damage criterion to define the damage variable. Darabi et al [ 31 ] and Subramanian and Mulay [ 32 ] gave the damage variable based on the effective bearing area. Using statistical methods, Li et al [ 33 ] directly defined the damage variable.…”

Section: Introductionmentioning

confidence: 99%

Damage Evolution Modelling for Rock Materials Based on the Principle of Least Energy Dissipation Rate within Irreversible Thermodynamics

Wang

2022

Entropy

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The nonlinear mechanical behavior of rock significantly influences the design and construction of underground structures. Due to the complexity and diversity of the damage mechanisms of rock, the damage variable directly defined by partial-damage mechanisms is insufficient in reflecting the progressive-failure process of rock comprehensively. So, in this paper, a novel damage variable is introduced into the plastic-strain rate based on the theoretical framework of irreversible thermodynamics to overcome this defect. The general expression is derived according to the least energy dissipation rate principle. The proposed damage variable can represent the irreversible energy dissipation process and has a strictly theoretical basis in mechanics. Moreover, the granite and marble stress-strain curves are simulated and compared with the Lemaitre damage model, Mazars damage model, and statistical damage model. The results show that the form of the proposed damage variable is practical and straightforward and can better reflect the entire stress-strain relationship of rock. Furthermore, the initial value of the inelastic response strain can be given directly through the proposed damage variable. The model presented here can overcome the issue that the current models need to select the damage threshold indirectly or assume it in advance and ensures that the damage evolution characteristics follow the first principle entirely.

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“…Darabi et al [9] proposed the extension of the concept of the effective configuration and effective stress to the healing configuration. Subramanian and Mulay [10] introduced a secondary damage variable in the CDHM framework with its own evolution law in order to allow the healed area undergo damage again after healing. Barbero and Ford [11], Privman et al [12], and Sanada et al [13] also contributed to the investigation by simulating the self-healing behavior of fiber-reinforced polymer composites.…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of extrinsic self healing GFRP materials

Tsivolas

Gergidis

Paipetis

2022

Modelling Simul. Mater. Sci. Eng.

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In this study, a novel multiscale material model is proposed to simulate the elasto-plastic damage-healing behavior of an epoxy matrix in a composite material. This framework combines the non-linear mean field homogenization methodologies with the continuum damage-healing mechanics (CDHM) to achieve the healing process in a coupled manner along with the damage. The model is able to predict the time dependent healing effect combined with damage propagation.In the proposed multiscale model, the healing depends on the current damage of the matrix, the available time that the healing can evolve and the rate of healing. A parametric study with respect to the rate of healing and a time dependency analysis were performed to examine the sensitivity of the model. In addition, a microscale method to calculate the healing initiation and healing efficiency is proposed using a representative volume element (RVE) of an epoxy matrix with healing microcapsules. The microscale simulation showed that with 7.5 % volume fraction of microcapsules 40 % of the structural integrity can be recovered.

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On the constitutive modelling of elasto-plastic self-healing materials

Cited by 6 publications

References 38 publications

Elastic Damage Healing Model Coupling Secondary Damage Variable for Self Healing Materials

Elastic Damage Healing Model Coupling Secondary Damage Variable for Self Healing Materials

Damage Evolution Modelling for Rock Materials Based on the Principle of Least Energy Dissipation Rate within Irreversible Thermodynamics

Multiscale modeling of extrinsic self healing GFRP materials

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