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Structural Engineering and Mechanics Volume 3, Number 5, September 1995 , pages 411-427 DOI: https://doi.org/10.12989/sem.1995.3.5.411 |
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ANALYSIS OF THE FRACTURE OF BRITTLE ELASTIC-MATERIALS USING A CONTINUUM DAMAGE MODEL |
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Heraldo S. Costa Mattos and Rubens Sampiao
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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. | ||
| Key Words | ||
| CONTINUUM DAMAGE MECHANICS, MICROSTRUCTURE THEORY, BRITTLE MATERIALS, STRAIN SOFTENING, FRACTURE | ||
| Address | ||
| Heraldo S. Costa Mattos: Department of Mechanical Engineering, Universidade Federal Fluminense, 24210-240 Niteroi-RJ-Brazil; Rubens Sampiao: Department of Mechanical Engineering, Pontificia Universidade Catolica do Rio de Janeiro, 22453-900 Rio de Janeiro-RJ-Brazil. | ||