A review on theory and application of plastic meso-damage mechanics

Abstract Meso-damage mechanics differs from continuous damage mechanics, which pays more attention to the evolution of meso-structure in materials. It combines physical and mechanical processes to link meso-structure evolution of materials to their macro-mechanical behavior through some average method. The development of meso-damage mechanics provides an alternative method for describing the damage behavior of materials and a new research topic in plastic damage mechanics. Therefore, this paper reviews the development of plastic meso-damage mechanics and illustrates the development of meso-damage mechanics with the most representative and application prospect Gurson-Tvergaard-Needleman (GTN) model as an example. The development of GTN meso-damage mechanics model has undergone developing from the initial meso-voids volume evolution equation to the establishment of the meso-damage constitutive equation and the vigorous development of various improved GTN damage models. The improvement and optimization of GTN meso-damage model in the shape of micro-voids and shear correction, and its important position and application status in meso-damage mechanics are emphatically discussed in this paper. The purpose of this review is aimed at providing an insight into the advantages of meso-damage mechanics model and some problems in the existing research background of its application, and to present the future development prospects, which provides great potential for further research and innovation of plastic meso-damage mechanics of materials.

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