Nonlocal Euler-Bernoulli Beam Theories (eBook, PDF)
Jingkai Chen
eBook, PDF

Nonlocal Euler-Bernoulli Beam Theories (eBook, PDF)

A Comparative Study

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This book presents a comparative study on the static responses of the Euler-Bernoulli beam governed by nonlocal theories, including the Eringen's stress-gradient beam theory, the Mindlin's strain-gradient beam theory, the higher-order beam theory and the peridynamic beam theory. Benchmark examples are solved analytically and numerically using these nonlocal beam equations, including the simply-supported beam, the clamped-clamped beam and the cantilever beam. Results show that beam deformations governed by different nonlocal theories at different boundary conditions show complex behaviors. Spec...

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