Continuum Damage-Healing Mechanics

Reference work entry


Microscale damage mechanisms, such as microcracks or microvoids, are well-known damage process zones for the formation of the macroscale cracks. The microscale defects, which are in the order of submicrons, will coalesce and branch within the course of the deformation and gradually form the macroscale damages. Healing of the microscale damages prohibits the formation of the macroscale defect zones and increases the life of the structures. Developing new healing strategies have become a hot research topic in the field of self-healing materials during recent years and many healing strategies have been proposed. In this chapter, the mathematics of healing is investigated within the continuum damage-healing mechanics (CDHM) framework. This aids smart material designers for the characterization of the coupled damage-healing process. Special emphasis is given on definition of new healing variables within the framework of CDHM. These novel damage-healing variables were formerly proposed by the authors and their performances have been examined in coupled damage-healing simulations (Voyiadjis et al., Int J Plast 27:1025–1044, 2011; Voyiadjis et al., Proc Roy Soc A Math Phys Eng Sci 468:163–183, 2012a; Voyiadjis et al., Int J Plast 28:21–45, 2012c). The proposed CDHM framework together with the developed thermodynamic consistent description of the microscale healing and damaging processes provide a well-structured method for accurately predicting the degradation and healing mechanisms in smart self-healing material systems.


Healing Process Elastic Strain Energy Healing Variable Continuum Damage Mechanic Fabric Tensor 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA
  2. 2.Department of Mechanical and Industrial EngineeringLouisiana State UniversityBaton RougeUSA

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