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首页> 外文期刊>Applied Mathematical Modelling >A non-incremental approach for elastoplastic plates basing on the Brezis-Ekeland-Nayroles principle
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A non-incremental approach for elastoplastic plates basing on the Brezis-Ekeland-Nayroles principle

机译：Brezis-ekeland-Nayroles原理基于Brizis-Ekeland的弹塑板的非增量方法

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摘要

This paper is devoted to the numerical simulations of elastoplastic plates at small strains by using the non-incremental Brezis-Ekeland-Nayroles (BEN) principle. This space-time variational principle is based on the energy dissipation and transforms the boundary value problem into a null minimization one under constraints. Unlike the standard incremental procedure, the BEN principle characterizes the entire trajectory and delivers the mechanical fields at all time steps simultaneously. Two kinds of plates: the thin plate Love-Kirchhoff and the thick Reissner-Mindlin circular plates undergoing uniform pressure are studied respectively. The description of the dicretization of the principle using the mixed finite element method and the implementation are detailed. The obtained results are compared against analytical solutions provided in the literature and numerical predictions derived by the classical incremental procedure.
机译：本文通过使用非增量Brezis-ekeland-Nayroles（Ben）原则，致力于小菌株的弹性板的数值模拟。 这种时空变化原理基于能量耗散，并将边值问题问题转换为在约束下的空最小化。 与标准增量程序不同，本原则表征整个轨迹，并同时在所有时间步骤中提供机械字段。 两种板材：分别研究了薄板Love-Kirchhoff和厚厚的Reissner-Mindlin圆形板经历均匀的压力。 使用混合有限元方法和实施方式描述原理的原理的解序。 将获得的结果与由经典增量程序的文献和数值预测中提供的分析解决方案进行比较。

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