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Peridynamics Beam Equation

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Nonlocal Euler–Bernoulli Beam Theories

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Abstract

This chapter discusses the mathematical background regrading peridynamics. Then, the nonlocal beam equation built on peridynamics is proposed. It is found that the integral-form peridynamic beam equation can be reduced to the truncated-order differential equation with Taylor series expansion.

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Correspondence to Jingkai Chen .

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Chen, J. (2021). Peridynamics Beam Equation. In: Nonlocal Euler–Bernoulli Beam Theories. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-030-69788-4_3

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  • DOI: https://doi.org/10.1007/978-3-030-69788-4_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-69787-7

  • Online ISBN: 978-3-030-69788-4

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