線彈性雙材料一維泛形立體本構(gòu)模型
發(fā)布時間:2019-04-21 18:12
【摘要】:為得到雙材料的本構(gòu)關(guān)系,基于泛形的概念,采用廣義泛形Menger海綿來描述雙材料中基體和夾雜的分布,可以直接通過泛形測度得到泛形復(fù)雜度,且立體模型能夠更好地描述雙材料的空間結(jié)構(gòu)。進而建立雙材料一維泛形立體本構(gòu)模型,能夠體現(xiàn)骨料體積比和級配對彈性模量的影響,給出了等效彈性模量的解析表達式。將其應(yīng)用于混凝土,數(shù)值計算結(jié)果與實驗結(jié)果吻合。
[Abstract]:In order to obtain the constitutive relation of bimaterial, the generalized generic Menger sponge is used to describe the distribution of matrix and inclusion in bimaterial based on the concept of generality, and the generality complexity can be obtained directly by generality measure. And the three-dimensional model can better describe the space structure of two materials. Furthermore, the one-dimensional generalized three-dimensional constitutive model of two materials is established, which can reflect the influence of aggregate volume ratio and gradation on the elastic modulus, and the analytical expression of equivalent elastic modulus is given. It is applied to concrete and the numerical results are in good agreement with the experimental results.
【作者單位】: 北京理工大學爆炸科學與技術(shù)國家重點實驗室;
【基金】:國家自然科學基金項目(11221202;11390362)
【分類號】:TU528
,
本文編號:2462439
[Abstract]:In order to obtain the constitutive relation of bimaterial, the generalized generic Menger sponge is used to describe the distribution of matrix and inclusion in bimaterial based on the concept of generality, and the generality complexity can be obtained directly by generality measure. And the three-dimensional model can better describe the space structure of two materials. Furthermore, the one-dimensional generalized three-dimensional constitutive model of two materials is established, which can reflect the influence of aggregate volume ratio and gradation on the elastic modulus, and the analytical expression of equivalent elastic modulus is given. It is applied to concrete and the numerical results are in good agreement with the experimental results.
【作者單位】: 北京理工大學爆炸科學與技術(shù)國家重點實驗室;
【基金】:國家自然科學基金項目(11221202;11390362)
【分類號】:TU528
,
本文編號:2462439
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