北京生物醫(yī)學(xué)工程

脂肪組織壓縮實(shí)驗(yàn)中摩擦系數(shù)對(duì)力學(xué)響應(yīng)的影響

Effect of friction coefficient on mechanical response in compression test of adipose tissue

作者：崔世海段海彤李海巖賀麗娟呂文樂阮世捷

單位：天津科技大學(xué)機(jī)械工程學(xué)院（天津 300222）

關(guān)鍵詞：脂肪組織；壓縮實(shí)驗(yàn)；有限元仿真；材料本構(gòu)；摩擦系數(shù)

分類號(hào)：R318.01

出版年·卷·期（頁碼）：2019·38·4（345-352）

摘要：

目的針對(duì)當(dāng)前摩擦力對(duì)脂肪組織無約束壓縮實(shí)驗(yàn)結(jié)果影響的不確定性，研究壓縮實(shí)驗(yàn)中合適的摩擦系數(shù)設(shè)置及適用于模擬脂肪組織生物力學(xué)響應(yīng)的材料本構(gòu)模型。方法構(gòu)建低應(yīng)變率（0.2 s-1）和中應(yīng)變率（20 s-1）下的脂肪組織有限元模型，分別應(yīng)用LS-DYNA中常用于模擬脂肪組織的線性黏彈性材料本構(gòu)、Mooney-Rivlin超彈性材料本構(gòu)、Ogden超彈性材料本構(gòu)、軟組織材料本構(gòu)，在不同摩擦系數(shù)下進(jìn)行無約束壓縮實(shí)驗(yàn)，分析不同摩擦系數(shù)及本構(gòu)模型對(duì)接觸力大小的影響。結(jié)果 4種材料本構(gòu)模型在低、中應(yīng)變率下，輸出的接觸力均與摩擦系數(shù)呈正相關(guān)，有摩擦?xí)r的接觸力比無摩擦?xí)r的接觸力大50％左右。中應(yīng)變率下脂肪組織的力學(xué)響應(yīng)對(duì)摩擦系數(shù)的靈敏度比低應(yīng)變率下的更高，且不同材料本構(gòu)模型輸出的接觸力差異顯著。結(jié)論在脂肪組織無約束壓縮實(shí)驗(yàn)中，靜摩擦系數(shù)取0.1，動(dòng)摩擦系數(shù)取0.05是合理的，在低、中應(yīng)變率下Ogden超彈性材料本構(gòu)能夠良好地反映脂肪組織的生物力學(xué)響應(yīng)。

Objective In view of the uncertainty of the effect of friction on the experimental results of unconstrained compression of adipose tissue, the appropriate friction coefficient setting in compression experiments and the material constitutive model for simulating the biomechanical response of adipose tissue are studied. Methods The finite element (FE) models of adipose tissue used for low strain rate (0.2 s-[1]) and medium strain rate (20 s-1) were developed. The unconstrained compression tests of adipose tissue under different friction coefficient were simulated by LS-DYNA code using the developed FE models with different constitutive models, such as linear viscoelastic material constitutive of adipose tissue, the Mooney-Rivlin hyperelastic material constitutive, Ogden hyperelastic constitutive materials, soft tissue material constitutive. The influence of different friction coefficients and constitutive models on the contact force was analyzed. Results Under the low and medium strain rate, the contact force with four kinds of material constitutive models obtained from the simulations was positively correlated with the friction coefficient, and the contact force with friction was more than 50% higher than that without friction. The mechanical response of adipose tissue under medium strain rate was more sensitive to friction coefficient than that under low strain rate. Furthermore, the contact force of the constitutive models of different materials was significantly different. Conclusions For the unconstrained adipose tissue compression test, the static friction coefficient of 0.1 and the kinetic friction coefficient of 0.05 are reasonable in the simulation. Under low and medium strain rate, Ogden hyperelastic constitutive models can well reflect the biomechanical response of adipose tissue.

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