Continuum damage-healing constitutive modeling for concrete materials through stress spectral decomposition

Continuum damage-healing mechanics (CDHM) is used for phenomenological modeling of self-healing materials. Self-healing materials have a structural capability to recover a part of the damage for increasing materials life. In this paper, a semi-analytic modeling for self-healing concrete beam is performed. Along this purpose, an elastic damage-healing model through spectral decomposition technique is utilized to investigate an anisotropic behavior of concrete in tension and compression. We drive an analytical closed-form solution of the self-healing concrete beam. The verification of the solution is shown by solving an example for a simply supported beam having uniformly distributed the load. Finally, a result of a self-healing concrete beam is compared to elastic one to demonstrate the capability of the proposed analytical method in simulating concrete beam behavior. The results show that for the specific geometry, the self-healing concrete beam tolerates 21% more weight, and the deflection of the entire beam up to failure load is about 27% larger than elastic solution under ultimate elastic load for both I-beam and rectangular cross-section. Comparison of Continuum Damage Mechanics (CDM) solution with CDHM solution of beam shows that critical effective damage is decreased by 32.4% for a rectangular cross-section and by 24.2% for I-shape beam made of self-healing concrete.

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Constitutive modeling of fatigue damage response of asphalt concrete materials with consideration of micro-damage healing

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2013.05.007 ◽

2013 ◽

Vol 50 (19) ◽

pp. 2901-2913 ◽

Cited By ~ 53

Author(s):

Masoud K. Darabi ◽

Rashid K. Abu Al-Rub ◽

Eyad A. Masad ◽

Dallas N. Little

Keyword(s):

Fatigue Damage ◽

Asphalt Concrete ◽

Constitutive Modeling ◽

Damage Response ◽

Damage Healing ◽

Concrete Materials

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Electrochemical deposition induced continuum damage-healing framework for the cementitious composite

International Journal of Damage Mechanics ◽

10.1177/1056789521991871 ◽

2021 ◽

pp. 105678952199187

Author(s):

Hehua Zhu ◽

Qing Chen ◽

J Woody Ju ◽

Zhiguo Yan ◽

Zhengwu Jiang

Keyword(s):

Electrochemical Deposition ◽

Planck Equation ◽

Healing Time ◽

Aqueous Environment ◽

Continuum Damage ◽

Deposition Method ◽

Cementitious Composite ◽

Current Conservation ◽

Electrochemical Deposition Method ◽

Damage Healing

The electrochemical deposition method is a promising approach to repair the deteriorated concrete in the aqueous environment. In this paper, a continuum damage-healing framework is presented for the electrochemical deposition method based on the multi-field coupling growth process of the electrochemical deposition products. The ion transportation and the electrode reactions are characterized by employing the Nernst-Planck equation and the current conservation equation. The level set method is adopted to capture the growth of the deposition products. Based on the deposition process, a new empirical healing law is presented, with which a new continuum damage-healing framework is presented for electrochemical deposition method. Numerical examples are conducted by applying the presented framework to the damaged cementitious composite under the tensile loadings. The presented framework is compared with the classic continuum damage-healing theory and the experimental data. The results show that the presented models can describe the electrochemical deposition method induced damage-healing for the cementitious composite. Furthermore, the effects of the healing time, the solution concentration and the external voltage on the damage-healing behaviors are investigated based on our proposed framework.

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Continuum damage mechanics for plain, fibre-reinforced, and reinforced concrete materials and structures.

10.22215/etd/1997-03706 ◽

1997 ◽

Author(s):

Mostafa Nofal

Keyword(s):

Reinforced Concrete ◽

Damage Mechanics ◽

Continuum Damage Mechanics ◽

Continuum Damage ◽

Concrete Materials

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Mechanics of damage, healing, damageability, and integrity of materials: A conceptual framework

International Journal of Damage Mechanics ◽

10.1177/1056789516635730 ◽

2016 ◽

Vol 26 (1) ◽

pp. 50-103 ◽

Cited By ~ 14

Author(s):

George Z Voyiadjis ◽

Peter I Kattan

Keyword(s):

Damage Mechanics ◽

Healing Process ◽

Continuum Damage Mechanics ◽

Damage Variable ◽

Continuum Damage ◽

Variable Section ◽

Damage Healing ◽

Characterization Of Materials ◽

New Formulation

In this work several new and fundamental concepts are proposed within the framework of continuum damage mechanics. These concepts deal primarily with the nature of the two processes of damage and healing along with introducing a consistent and systematic definition for the concepts of damageability and integrity of materials. Toward this end, seven sections are presented as follows: “The logarithmic damage variable” section introduces the logarithmic and exponential damage variables and makes comparisons with the classical damage variable. In “Integrity and damageability of materials” section a new formulation for damage mechanics is presented in which the two angles of damage–integrity and healing–damageability are introduced. It is shown that both the damage variable and the integrity variable can be derived from the damage–integrity angle while the healing variable and damageability variable are derived from the healing–damageability angle. “The integrity field” section introduces the new concept of the integrity field while “The healing field” section introduces the new concept of the healing field. These two fields are introduced as a generalization of the classical concepts of damage and integrity. “Unhealable damage and nondamageable integrity” section introduces the new and necessary concept of unrecoverable damage or unhealable damage. In this section the concept of permanent integrity or nondamageable integrity is also presented. In “Generalized nonlinear healing” section generalized healing is presented where a distinction is clearly made between linear healing and nonlinear healing. As an example of nonlinear healing the equations of quadratic healing are derived. Finally in “Dissection of the healing process” section a complete and logical/mathematical dissection is made of the healing process. It is hoped that these new and fundamental concepts will pave the way for new, consistent, and holistic avenues in research in damage mechanics and characterization of materials.

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