本文選題：均勻化 + 多孔介質(zhì)��； 參考：《復(fù)合材料學報》2016年04期

【摘要】：飽和巖土類多孔材料內(nèi)固、液相不同屬性產(chǎn)生的各向異性和多孔微結(jié)構(gòu)的不均勻性使得材料的細觀力學特性計算變得十分復(fù)雜。為準確預(yù)測巖土類材料的有效彈性性能和細觀應(yīng)力-應(yīng)變場,基于Biot多孔彈性介質(zhì)理論,建立可描述巖土類多孔材料固液相運動的能量泛函和相應(yīng)的多孔彈性本構(gòu)關(guān)系;利用細、宏觀尺度比作為小參數(shù)將能量變分泛函漸近擴展為系列近似泛函;以場變量波動函數(shù)為未知量,通過解決近似泛函的最小化問題(駐值問題)得到波動函數(shù)的解析解,從而建立逼近物理和工程真實性的細觀力學模型,并通過有限元技術(shù)得以數(shù)值實現(xiàn)。多孔介質(zhì)材料細觀力學特性算例表明:與經(jīng)典均勻化理論(將液體類比為具有較高泊松比的固體材料)相比,基于變分漸近均勻化細觀模型預(yù)測的多孔介質(zhì)材料細觀力學特性更精確,尤其是能準確重構(gòu)多孔微結(jié)構(gòu)內(nèi)局部應(yīng)力-應(yīng)變場分布,為損傷破壞、局部斷裂分析奠定了堅實基礎(chǔ)。
[Abstract]:Due to the anisotropy produced by different properties of liquid phase and the inhomogeneity of porous microstructure in porous materials of saturated rock and soil, the calculation of meso-mechanical properties of porous materials becomes very complicated. In order to accurately predict the effective elastic properties and the meso-stress-strain field of geotechnical materials, based on Biot's theory of porous elastic medium, the energy functional and the corresponding porous elastic constitutive relations can be established to describe the solid-liquid movement of the porous materials of rock and soil. The energy variational functional is asymptotically extended to a series of approximate functional by using the fine and macroscopic scale ratio as a small parameter, and the analytical solution of the wave function is obtained by solving the minimization problem (the stationary value problem) of the approximate functional with the wave function of the field variable as the unknown. A meso-mechanical model approaching physical and engineering authenticity is established and realized numerically by finite element technique. An example of meso-mechanical properties of porous media shows that compared with the classical homogenization theory, the liquid is compared to a solid material with a high Poisson's ratio. The meso-mechanical properties of porous media based on variational asymptotic homogenization meso-model are more accurate, especially the local stress-strain field distribution in porous microstructures can be reconstructed accurately, which lays a solid foundation for damage failure and local fracture analysis.
【作者單位】： 重慶大學土木工程學院;重慶大學山地城鎮(zhèn)建設(shè)與新技術(shù)教育部重點實驗室;
【基金】：國家自然科學基金(11272363,51279218)
【分類號】：TB301
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本文編號：2037868