本文關(guān)鍵詞：基于Gibson公式修正的蜂窩材料非線性本構(gòu)　出處：《重慶大學(xué)學(xué)報》2016年05期 　論文類型：期刊論文

  更多相關(guān)文章： 等壁厚正六邊形蜂窩 Gibson公式 非線性修正因子 數(shù)值模擬 彈性大變形本構(gòu)

【摘要】：Gibson公式由于形式簡單而被廣泛應(yīng)用,然而,隨著六邊形蜂窩材料相對密度和變形程度的增大,Gibson公式將逐漸失效。筆者通過有限元數(shù)值模擬,對不同相對密度(細(xì)長比)等壁厚正六邊形蜂窩材料進(jìn)行分析。定義了非線性修正因子,由數(shù)值結(jié)果可知,對于低密度蜂窩結(jié)構(gòu),非線性因子只與變形程度有關(guān),而與密度本身無關(guān)。為此,給出了低密度蜂窩非線性修正因子的一個簡便擬合式,得到了低密度蜂窩結(jié)構(gòu)幾何非線性本構(gòu)關(guān)系。為了將該本構(gòu)推廣到高密度,引入了另一個非線性修正因子,并給出該非線性因子關(guān)于細(xì)長比和應(yīng)變的三次多項式擬合結(jié)果,從而建立適用于應(yīng)變和密度在較大變化范圍的等壁厚正六邊形蜂窩材料彈性大變形本構(gòu)關(guān)系。該本構(gòu)參數(shù)少、精度高、適用范圍廣,便于工程應(yīng)用。此方法還可方便地推廣到更一般的六邊形蜂窩材料。
[Abstract]:The Gibson formula is widely used due to its simple form, however, with the increase of the relative density of hexagonal honeycombs and deformation degree, the Gibson formula will gradually fail. Through the finite element numerical simulation of different relative density (slenderness ratio) of wall thickness of hexagonal honeycombs. The definition of nonlinear factor, by numerical results for the low density cellular structure, the nonlinear factor is only related with the degree of deformation, and has nothing to do with the density itself. Therefore, a simple formula of low density cellular nonlinear correction factor is given, the low density of honeycomb structure geometric nonlinear constitutive relation. In order to put the constitutive extended to high density, the other a nonlinear correction factor, and the nonlinear factor on the slenderness ratio and strain three polynomial fitting results, so as to establish the suitable strain and density in the larger variable The elastic deformation constitutive relation of hexagonal honeycomb material with equal thickness is equal to the range. The constitutive parameters are few, the accuracy is high, the application scope is wide, and it is convenient for engineering application. This method can also be extended to more general hexagonal honeycomb materials.

【作者單位】： 中山大學(xué)工學(xué)院應(yīng)用力學(xué)與工程系;
【基金】：國家自然科學(xué)基金資助項目(11172334) 廣東省自然科學(xué)基金資助項目(031552)~~
【分類號】：TB383.4
【正文快照】： 蜂窩材料憑借其優(yōu)越的性能,在航空航天、機(jī)械、交通等諸多領(lǐng)域獲得了廣泛應(yīng)用。近幾十年來,有關(guān)蜂窩材料結(jié)構(gòu)及其力學(xué)性能的研究,一直是學(xué)者們關(guān)注的焦點之一[1]。其中六邊形結(jié)構(gòu)作為較常見的蜂窩結(jié)構(gòu)之一,其相關(guān)研究也較為充分。在小變形情況下,目前僅能由經(jīng)典梁理論給出該結(jié)，

本文編號：1360826