A theory of smeared continuum damage mechanics |
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Authors: | Usik Lee |
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Affiliation: | (1) Department of Mechanical Engineering, Inha University, 253 Yonghyun-Dong, Nam-Ku, 402-751 Inchon, Korea |
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Abstract: | This paper considers smeared continuum damage mechanics based on the equivalent elliptical crack representation of a local
damage. This approach provides a means of utilizing the crack energies derived in fracture mechanics, and of identifying the
local damage state from local stress and strain information. The strain energy equivalence principle is used to derive the
effective continuum elastic properties of a damaged solid in terms of the undamaged elastic properties and a scalar damage
variable. The scalar damage variable is used to develop a consistent damage evolution equation. The combination of representing
local damage as an equivalent elliptical crack, the determination of effective elastic properties using a strain energy equivalence
principle, and a consistent damage evolution equation yields a simple, yet powerful local approach for continuum damage analysis |
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Keywords: | Continuum Damage Mechanics Elliptical Crack Strain Energy Equivalence Principle(SEEP) Damage Evolution Equation Effective Continuum Model |
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