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Analysis of randomly damaged triangular beam lattice: elastic field and effective properties
Mathematics and Mechanics of Solids ( IF 2.6 ) Pub Date : 2021-06-15 , DOI: 10.1177/10812865211021637
Michael Ryvkin 1 , Andrej Cherkaev 2
Affiliation  

The decay of elastic moduli of the triangular beam lattice with randomly missed links is studied. Random low-intensity damage is considered with no more than 10% of the links removed. Unidirectional and isotropic damage models are considered. Approximate analytical formulas for elastic moduli of damaged lattice are suggested and numerically verified. Models of isotropic and scalar damage are discussed; the variation of the Poisson coefficients as a result of damage is studied. Beams of different thicknesses are examined; the dependence of moduli on thickness is investigated. Random damage is simulated using a method based on the discrete Fourier transform; the mean value and standard deviation are calculated.



中文翻译:

随机损伤三角梁点阵分析:弹性场和有效性质

研究了具有随机缺失链接的三角形梁点阵弹性模量的衰减。随机低强度损坏被视为不超过 10% 的链接被移除。考虑单向和各向同性损伤模型。提出并数值验证了受损晶格弹性模量的近似解析公式。讨论了各向同性和标量损伤模型;研究了由于损坏引起的泊松系数的变化。检查不同厚度的梁;研究了模量对厚度的依赖性。采用基于离散傅立叶变换的方法模拟随机损伤;计算平均值和标准偏差。

更新日期:2021-06-15
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