Asymptotic beam theory for non-classical elastic materials
International Journal of Mechanical Sciences(2021)
摘要
•Inter-metallic alloys modelled by a nonlinear constitutive relation are considered.•An asymptotic beam theory is developed, without any ad hoc assumptions.•The approximate analytical solution is constructed by a novel iteration method.•Classical beam theory is unsuitable for a certain class of problems.•Euler-Bernoulli hypotheses are found to be not suitable for these materials.
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关键词
Beam theory,Nonlinear constitutive relation,Inter-metallic alloys,Asymptotic method,Analytical solution,Spectral collocation method
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