Session Track
November 01 (Wednesday)
구조설계 및 CAE(II)
Oral,
제14발표장(402A호),
13:30~14:30
- 임현준(홍익대)
We14A-3
13:30~14:30
Asymptotically correct micro-mechanical theory for composite plates: Hybrid energy transformation to generalized Reissner-Mindlin model
As an engineering perspective, the micromechanical plate model on based an asymptotically correct energy functional up to the second order is not tractable and practical because of the appearance of partial derivative terms which bring the unnecessary complexity and obscurely physical interpretation of boundary conditions. Therefore, the energy transformation procedure constructs a mathematical link between the derived energy functional and a simple and practical engineering model, such as a generalized Reissner-Mindlin model is required. From the previous work, a hybrid energy transformation procedure composed of two successive steps the equilibrium transformation and the energy transformation via an algebraic approach is introduced. In equilibrium transformation, a hyperstatic characteristic of two-dimensional equilibrium equations are transformed into an isostatic one by synchronized utilizing of two-dimensional compatibility equations. After some algebraic manipulations, equivalent constitutive laws for the generalized Reissner-Mindlin plate model are then estimated. Unlike previous works in modeling laminated composite plate, a coupling stiffness term between the generalized strain measures can be systemically calculated in our present model such as the generalized Timoshenko model for composite beams. Few examples available in literature are used to demonstrate the existence and effect of the coupling stiffness term between the generalized strain measures.
Keywords : Homogenization(균질화), Dimensional Reduction(차원감소), Variational Asymptotic Method(변분 점근법), Hybrid Energy Transformation(혼합 에너지 변환), Generalized Reissner-Mindlin Model(라이즈너-민들린 판 모델)
Paper : We14A-3.pdf
(사)대한기계학회, 서울시 강남구 테헤란로 7길 22 한국과학기술회관 신관 702호, Tel: (02)501-3646~3648, E-mail: ksme@ksme.or.kr