亞塑性模型不同積分算法的數(shù)值實(shí)現(xiàn)
發(fā)布時(shí)間:2018-08-26 09:57
【摘要】:亞塑性模型是以Jaumann應(yīng)力率張量及變形率張量描述的一種率型本構(gòu)關(guān)系,本構(gòu)關(guān)系在非線性有限元分析計(jì)算中具有關(guān)鍵作用,解決用應(yīng)變?cè)隽壳蠼鈶?yīng)力響應(yīng)的問(wèn)題需要一個(gè)時(shí)間積分過(guò)程。針對(duì)亞塑性本構(gòu)模型發(fā)展了自適應(yīng)隱式和顯式兩種不同的積分算法,給出了誤差控制的方法,同時(shí)推導(dǎo)了自適應(yīng)隱式積分算法所需的一致切向模量,并采用了兩個(gè)不同的單元,利用ABAQUS平臺(tái)比較了兩種積分算法的數(shù)值模擬結(jié)果。為了實(shí)現(xiàn)從ABAQUS/Standard到ABAQUS/Explicit的過(guò)渡,開(kāi)發(fā)了UMAT-VUMAT接口,從而可以使已有的UMAT子程序用于大變形動(dòng)力問(wèn)題分析。算例分析證明了研究結(jié)果的正確性。
[Abstract]:The sub-plastic model is a kind of rate-type constitutive relation described by Jaumann stress rate Zhang Liang and Zhang Liang deformation rate. The constitutive relation plays a key role in the calculation of nonlinear finite element analysis. To solve the problem of stress response by strain increment, a time integral process is needed. In this paper, two kinds of adaptive implicit and explicit integral algorithms are developed for the subplastic constitutive model, and the error control method is given. At the same time, the uniform tangential modulus required by the adaptive implicit integral algorithm is derived, and two different elements are used. The numerical simulation results of two integration algorithms are compared by using ABAQUS platform. In order to realize the transition from ABAQUS/Standard to ABAQUS/Explicit, the UMAT-VUMAT interface is developed, so that the existing UMAT subprograms can be used to analyze large deformation dynamic problems. An example is given to show the correctness of the results.
【作者單位】: 天津大學(xué)水利工程仿真與安全國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【分類號(hào)】:TU43
,
本文編號(hào):2204505
[Abstract]:The sub-plastic model is a kind of rate-type constitutive relation described by Jaumann stress rate Zhang Liang and Zhang Liang deformation rate. The constitutive relation plays a key role in the calculation of nonlinear finite element analysis. To solve the problem of stress response by strain increment, a time integral process is needed. In this paper, two kinds of adaptive implicit and explicit integral algorithms are developed for the subplastic constitutive model, and the error control method is given. At the same time, the uniform tangential modulus required by the adaptive implicit integral algorithm is derived, and two different elements are used. The numerical simulation results of two integration algorithms are compared by using ABAQUS platform. In order to realize the transition from ABAQUS/Standard to ABAQUS/Explicit, the UMAT-VUMAT interface is developed, so that the existing UMAT subprograms can be used to analyze large deformation dynamic problems. An example is given to show the correctness of the results.
【作者單位】: 天津大學(xué)水利工程仿真與安全國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【分類號(hào)】:TU43
,
本文編號(hào):2204505
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