黏彈-雙曲線Drucker-Prager塑性模型應(yīng)力更新隱式算法
發(fā)布時間：2019-03-09 12:28
【摘要】：黏彈-塑性模型是由黏彈性模型與塑性元件串聯(lián)而成,可視為黏彈-黏塑性模型中黏塑性黏度參數(shù)趨于0的一種極限情況,為黏彈性材料的結(jié)構(gòu)破壞分析提供了一個途徑。把黏彈-塑性模型的應(yīng)變增量分解為黏彈和塑性增量兩部分,考慮黏彈性應(yīng)變歷史,把黏彈性積分型本構(gòu)關(guān)系在一個時步內(nèi)線性化,定義與時間增量相關(guān)的剪切模量和體積模量,導(dǎo)出應(yīng)力遞推公式,把黏彈-塑性本構(gòu)積分轉(zhuǎn)化為與彈塑性相似的形式。針對由黏彈性和雙曲線Drucker-Prager塑性、各向同性硬化的黏彈-塑性模型,通過黏彈性預(yù)估和塑性校正"二步"算法實現(xiàn)對應(yīng)力的更新,給出完全隱式算法和最終的計算公式。算例比較分析表明,由于迭代過程中僅需要簡單的函數(shù)計算,該算法具有很好的收斂性。一般經(jīng)過2次迭代運算后,屈服函數(shù)值已達(dá)到10-10的量級,應(yīng)力點便返回到屈服面上。
[Abstract]:Visco-elasto-plastic model is made up of viscoelastic model and plastic element in series. It can be regarded as a limit case of Visco-plastic viscosity parameter approaching to zero in Visco-plastic model, which provides a way for structural failure analysis of Visco-elastic materials. The strain increment of Visco-elastic-plastic model is decomposed into two parts: viscoelastic and plastic increment. Considering the history of viscoelastic strain, the viscoelastic integral constitutive relation is linearized in one time step. The shear modulus and volume modulus related to time increment are defined, and the recurrence formula of stress is derived. The viscoelastic-plastic constitutive integral is transformed into a form similar to that of elasto-plastic. For the viscoelastic-plastic model with isotropic hardening from viscoelastic and hyperbolic Drucker-Prager plasticity, the "two-step" algorithm of Visco-elastic prediction and plastic correction is used to update the stress, and the fully implicit algorithm and the final calculation formula are given. The comparison and analysis of numerical examples show that the algorithm has good convergence because only simple function calculation is needed in the iterative process. Generally, after two iterations, the value of the yield function has reached the order of 10 脳 10, and the stress point will return to the yield surface.
【作者單位】： 鄭州大學(xué)土木工程學(xué)院;
【基金】：國家自然科學(xué)基金項目(No.51578511)~~
【分類號】：O34
本文編號：2437451
[Abstract]:Visco-elasto-plastic model is made up of viscoelastic model and plastic element in series. It can be regarded as a limit case of Visco-plastic viscosity parameter approaching to zero in Visco-plastic model, which provides a way for structural failure analysis of Visco-elastic materials. The strain increment of Visco-elastic-plastic model is decomposed into two parts: viscoelastic and plastic increment. Considering the history of viscoelastic strain, the viscoelastic integral constitutive relation is linearized in one time step. The shear modulus and volume modulus related to time increment are defined, and the recurrence formula of stress is derived. The viscoelastic-plastic constitutive integral is transformed into a form similar to that of elasto-plastic. For the viscoelastic-plastic model with isotropic hardening from viscoelastic and hyperbolic Drucker-Prager plasticity, the "two-step" algorithm of Visco-elastic prediction and plastic correction is used to update the stress, and the fully implicit algorithm and the final calculation formula are given. The comparison and analysis of numerical examples show that the algorithm has good convergence because only simple function calculation is needed in the iterative process. Generally, after two iterations, the value of the yield function has reached the order of 10 脳 10, and the stress point will return to the yield surface.
【作者單位】： 鄭州大學(xué)土木工程學(xué)院;
【基金】：國家自然科學(xué)基金項目(No.51578511)~~
【分類號】：O34
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相關(guān)期刊論文 前1條
1 李建宇;張洪武;;解Drucker-Prager塑性問題的二階錐互補法[J];計算力學(xué)學(xué)報;2014年03期
，本文編號：2437451
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