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Structural Engineering and Mechanics
  Volume 3, Number 5, September 1995, pages 411-427
DOI: http://dx.doi.org/10.12989/sem.1995.3.5.411
 


ANALYSIS OF THE FRACTURE OF BRITTLE ELASTIC-MATERIALS USING A CONTINUUM DAMAGE MODEL
Heraldo S. Costa Mattos and Rubens Sampiao

 
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.
 

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