Structural Engineering and Mechanics

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Analysis of the fracture of brittle elastic materials using a continuum damage model

  • Costa Mattos, Heraldo S. (Department of Mechanical Engineering, Universidade Federal Fluminense) ;
  • Sampaio, Rubens (Department of Mechanical Engineering, Pontificia Universidade Catolica do Rio de Janeiro)
  • Published : 1995.09.25
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Abstract

The most known continuum damage theories for brittle structures are suitable to model the degradation of the material due to the deformation process and the consequent initiation of a macro-crack. Nevertheless, they are not able to describe the propagation of the crack that leads, eventually, to the breakage of the structure into parts that undergo rigid body motion. This paper presents a theory, formulated from formal arguments of Continuum Mechanics, that may describe not only the degradation but also the fracture of elastic structures. The modeling of such a discontinuous phenomenon through a continuous theory is possible by taking a cohesion variable, related with the links between material points, as an additional degree of kinematical freedom. The possibilities of the proposed theory are discussed through examples.

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References

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