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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.6
- 수록면
- 9 - 16 (8page)
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This paper discusses a refined model for investigating the micro-mechanical behavior of beam-like structures, which are composed of various elastic moduli and complex geometries varying through the cross-section directions and are also periodically-repeated and heterogeneous along the axial direction. Following the previous work (Lee and Yu, 2011), the original three-dimensional static problem is first formulated in a unified and compact form using the concept of decomposition of the rotation tensor. Taking advantage of the smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity, while also performing homogenization along the dimensional reduction simultaneously, the variational asymptotic method is rigorously used to construct a total energy function, which is asymptotically correct up to the second order. Furthermore, through the transformation procedure based on the pure kinematic relations and the linearized equilibrium equations, a generalized Timoshenko model is systematically established. For the purpose of dealing with realistic and complex geometries and constituent materials at the microscopic level, this present approach is incorporated into a commercial analysis package. A few examples available in literature are used to demonstrate the consistency and efficiency of this proposed model, especially for the structures, in which the effects of transverse shear deformations are significant.
목차
Abstract
1. Introduction
2. 3D beam kinematics and 3D energy formulation under homogenization
3. Dimensional reduction
4. Validation examples
5. Conclusions
References
참고문헌 (8)
참고문헌 신청
[학술지(정기간행물)] - Hollister, S. J. / 1992 / A comparison of homogenization and standard mechanics analyses for periodic porous composites / Compu. Mech 10 : 73 ~ 95
[학술대회논문] - Jonnalagadda, Y. / 2011 / Calculation of effective section properties for wind turbine blades / Proc. 52st AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn., Mat. Conf
[학술지(정기간행물)] - Kolpakov, A. / 1991 / Calculation of the characteristics of the thin elastic rods with a periodic structure / J. Appl. Math. Mech 55 (3) : 358 ~ 365
[학술지(정기간행물)] - Lee, C. -Y. / 2011 / Variational asymptotic modeling of composite beams with spanwise heterogeneity / Comput. Struct 89 : 1503 ~ 1511
[학술지(정기간행물)] - Danielson, D. / 1987 / Nonlinear beam kinematics by decomposition of the rotation tensor / J. Appl. Mech 54 : 258 ~ 262
[학술대회논문] - Jonnalagadda, Y. / 2011 / Calculation of effective section properties for wind turbine blades / Proc. 52st AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn., Mat. Conf
[학술지(정기간행물)] - Kolpakov, A. / 1991 / Calculation of the characteristics of the thin elastic rods with a periodic structure / J. Appl. Math. Mech 55 (3) : 358 ~ 365
[학술지(정기간행물)] - Lee, C. -Y. / 2011 / Variational asymptotic modeling of composite beams with spanwise heterogeneity / Comput. Struct 89 : 1503 ~ 1511
[학술지(정기간행물)] - Danielson, D. / 1987 / Nonlinear beam kinematics by decomposition of the rotation tensor / J. Appl. Mech 54 : 258 ~ 262
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UCI(KEPA) : I410-ECN-0101-2017-563-000847831