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The elasto-damage theory of the components assembling model

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Abstract

The potential energy in materials is well approximated by pair functional which is composed of pair potentials and embedding energy. During calculating material potential energy, the orientational component and the volumetric component are derived respectively from pair potentials and embedding energy. The sum of energy of all these two kinds of components is the material potential. No matter how microstructures change, damage or fracture, at the most level, they are all the changing and breaking atomic bonds. As an abstract of atomic bonds, these components change their stiffness during damaging. Material constitutive equations have been formulated by means of assembling all components’ response functions. This material model is called the component assembling model. Theoretical analysis and numerical computing indicate that the proposed model has the capacity of reproducing some results satisfactorily, with the advantages of great conceptual simplicity, physical explicitness, and intrinsic induced anisotropy, etc.

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Authors and Affiliations

  1. Institute of Mechanics, Chinese Academy of Sciences (CAS), Beijing, 100190, China

    ShouChun Deng & NaiGang Liang

  2. Graduate School of Ordnance Engineering College, Shijiazhuang, 050003, China

    HaiXing Lu

Authors
  1. ShouChun Deng
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  2. NaiGang Liang
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  3. HaiXing Lu
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Correspondence to ShouChun Deng.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 10572140 and 10232050) and the Ministry of Science and Technology Foundation (Grant No. 2002CB412706)

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Deng, S., Liang, N. & Lu, H. The elasto-damage theory of the components assembling model. Sci. China Ser. G-Phys. Mech. Astron. 52, 139–150 (2009). https://doi.org/10.1007/s11433-009-0002-8

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  • DOI: https://doi.org/10.1007/s11433-009-0002-8

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