期刊
LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
卷 11, 期 3, 页码 459-487出版社
LATIN AMER J SOLIDS STRUCTURES
DOI: 10.1590/S1679-78252014000300006
关键词
Modified couple stress theory; equations of motion; general third-order beam theory; von Karman nonlinearity; functionally graded beam; nonlinear finite element model
资金
- National Science Foundation [CMMI-1000790]
- NSF [CMMI-1030836]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1030836] Funding Source: National Science Foundation
A microstructure-dependent nonlinear third-order beam theory which accounts for through-thickness power-law variation of a two-constituent material is developed using Hamilton's principle. The formulation is based on a modified couple stress theory, power-law variation of the material, and the von Karman nonlinear strains. The modified couple stress theory contains a material length scale parameter that can capture the size effect in a functionally graded material beam. The influence of the material length scale parameter on linear bending is investigated. The finite element models are also developed to determine the effect of the geometric nonlinearity and microstructure-dependent constitutive relations on linear and nonlinear response.
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