Computational Structural Engineering (전산구조공학)

Computational Structural Engineering Institute of Korea (한국전산구조공학회)
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Kinematic Description of Damage-Elastoplastic Deformation

손상된 재료의 탄소성변형에 대한 운동학적 해석

  • 박대효 (한국해양대학교 토목공학과) ;
  • 박용걸 (서울산업대학교 건설구조학과)
  • Published : 1997.12.01
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Abstract

In this paper the kinematics of damage for finite elastoplastic deformations is introduced using the fourth-order damage effect tensor through the concept of the effective stress within the framework of continuum damage mechanics. Unlike the approach of strain equivalence or energy equivalence, which is applicable only to small strains, the proposed kinematic description provides a relation between the effective strain and the damage elastoplastic strain in finite deformation. This is accomplished by directly considering the kinematics of the deformation field both real configuration. The proposed approach shows that it is equivalent to the hypothesis of energy equivalence at finite strains. The damage effect tensor in this work is explicitly characterized in terms of a kinematic measure of damage in the elastoplastic domain through a second-order damage tensor.

본 논문에서는 4차 손상유효 tensor를 이용하여 유한 탄소성변형에 대한 운동학적인 손상해석이 소개된다. 이는 뼈대구조에서의 연속체 손상역학의 유효응력개념을 통하여 이루어진다. 소규모 변형율상태에만 적용할 수 있는 등가변형율 혹은 에너지법과는 달리 제안된 운동학적인 방법은 유효변형율과 유한변형율에 적용할 수 있는 소규모 변형상태에 있어서의 손상탄소성변형율 사이의 관계를 제공한다. 이는 실제 형상과 가상의 유효형상 모두에 대한 변형장의 운동학을 직접 고려하여 수행된다. 이 방법은 등가변형율이나 변형율 에너지 경우처럼 소규모 변형율에 한정되지 않으며, 유한변형율에 대한 에너지등가의 가정과 일치함을 보여준다. 본 논문에서는 손상이 탄소성영역에서 운동학적으로 표현되며, 손상유효 tensor는 2차 손상 tensor를 통해 손상을 운동학적 측정값이 항으로 특징지워진다.

Keywords

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