【摘 要】
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The objective of this lecture is to present an overview of the authors recent research on nonlocal elasticity, couple stress theories, and discrete peridyna
【机 构】
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AdvancedComputationalMechanicsLaboratoryDepartmentofMechanicalEngineeringTexasA&MUniversity,CollegeS
【出 处】
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International Conference on Science and Technology of Hetero
论文部分内容阅读
The objective of this lecture is to present an overview of the authors recent research on nonlocal elasticity, couple stress theories, and discrete peridynamics idea in formulate the governing equations of functionally graded material beams and plates.In addition to Eringens nonlocal elasticity (1972), two different nonlinear gradient elasticity theories that account for (a) geometric nonlinearity and (b) microstructure-dependent size effects are revisited to establish the connection between the two theories.The first theory is based on modified couple stress theory of Mindlin (1963) and Yang et al.(2000) and the second one is based on Srinivasa--Reddy gradient elasticity theory (2013).The modified couple stress theory includes a material length scale parameter that can capture the size effect in a material.The Srinivasa--Reddy (2013) theory contains, as a special case, the first one.These two theories are used to derive the governing equations of beams and plates.In addition, the nonlocal model of Eringen (1972) and a discrete peridynamics idea (Reddy et al.2013) as an alternative to the conventional peridynamics are discussed.
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