Bammann-Chiesa-Johnson粘塑性本构模型的参数识别方法与验证

Bammann-Chiesa-Johnson(BCJ)粘塑性本构模型对材料力学响应的再现和预测能力强烈依赖于其模型参数的确定,而模型参数的确定往往是通过反分析方法来进行。由于BCJ粘塑性模型包含了应变、应变率和温度耦合效应以及加载路径和温度历史,其常数多达18个,所以寻找最佳的模型参数识别值十分繁琐。针对BCJ本构模型参数复杂、识别困难的问题,本文基于参数的物理意义,在准静态、蠕变及动态加载试验基础上,通过模型参数解耦分离、粒子群智能优化的方法分6步对18个材料常数进行识别,并用识别结果对1060纯铝动态加载试验力学响应进行模拟,模拟结果与试验结果符合良好。通过定量化误差分析,证明了BCJ粘塑性模型对实验数据的预测具有较高精度,该模型参数识别方法科学可行。     

Numerical simulation of three-dimensional bulk forming processes by the element-free Galerkin method

A new approach for simulating three-dimensional (3D) bulk metal forming processes is proposed by combining element-free Galerkin method (EFGM) with the flow theory of 3D rigid-plastic/viscoplastic mechanics. Different from the conventional rigid-plastic FEM, the velocity field is constructed by the moving least-squares (MLS) approximation. Special emphasis is placed on the treatments of essential boundary conditions, incompressibility constraint and friction boundaries. The stiffness equation for the analysis of 3D bulk metal forming using EFGM is derived and its key algorithms are given. To test the validity of the proposed meshless approach, a typical 3D upsetting forming process is analyzed and the numerical results are compared with those obtained by commercialized rigid-plastic FEM software Deform^3D. As results show, when handling 3D plastic deformations, the proposed approach eliminates the need of expensive meshing and remeshing procedures unavoidable in conventional FEM, and still provides results that are in good agreement with finite element predictions.     

A finite element formulation for the simulation of propagating delaminations in layered composite structures

This paper presents a finite element method to simulate growing delaminations in composite structures. The delamination process, using an inelastic material law with softening, takes place within an interface layer having a small, but non‐vanishing thickness. A stress criterion is used to detect the critical points. To prevent mesh‐dependent solutions a regularization technique is applied. The artificial viscosity leads to corresponding stiffness matrices which guarantee stable equilibrium iterations. The essential material parameter which describes the delamination process is the critical energy release rate. The finite element calculations document the robustness and effectivity of the developed model. Extensive parameter studies are performed to show the influence of the introduced geometrical and material quantities. Copyright © 2001 John Wiley & Sons, Ltd.     

Homogenised elasto-viscoplastic material modelling of thick perforated plates at high temperature

Abstract

In this study, homogenised elasto-viscoplastic behaviour of thick perforated plates at high temperature was investigated for macro-material modelling. Homogenised stress–strain relations of a periodic unit cell of thick perforated plates subjected to simple and complex loading were analysed using a homogenisation method for periodic solids. The base metals of perforated plates were assumed to exhibit elasto-viscoplasticity based on Hooke’s law and Norton’s power-law, and the material parameters of modified 9Cr–1Mo steel at 550°C were employed. The resulting homogenised stress–strain relations were simulated using a recently developed elasto-viscoplastic macro-material model based on a general form of the quadratic equivalent stress. It has been shown that this macro-model successfully represents the macro-anisotropy and macro-volumetric compressibility that were revealed by the homogenisation analysis in uniaxial, biaxial and triaxial stress states.     

A unified viscoplasticity constitutive model based on irreversible thermodynamics

A unified viscoplasticity constitutive model for metal materials is developed within the framework of irreversible thermodynamics, and an expression for the Helmholtz free energy function involving the parameters reflecting kinematic hardening and isotropic hardening is given. At the same time a non-associated flow potential function including the corresponding state variables is also given, from which the flow equation and the evolution equations of the internal state variables are derived. Thus, a general theoretical framework constructing a unified viscoplasticity constitutive model is given. Compared with the typical unified viscoplasticity constitutive models, the presented model evidently satisfies the irreversible thermodynamics laws. Moreover, this method not only provides a new theoretical foundation for further development of the unified viscoplasticity constitutive model, but also gives a new theoretical framework for the stress-strain analysis of more materials. Supported by the National Natural Science Foundation of China (Grant NO. 90410012)     

A total ALE FE formulation for axisymmetric and torsional problems (including viscoplasticity,thermodynamic coupling and dynamics)

This paper—first—extends a recent ‘assumed enhanced deformation gradient’ finite ring(segment) element (Int. J. Numer. Methods Eng. 2001; 50 :899–918.) to Arbitary Lagrange Euler (ALE) computations, by setting up the assumed tensor on the computational configuration, and—second—shows an elegant way of incorporating dynamics into real ALE computations (no splitting into purely—Lagrange steps and then—remeshing steps), by introducing material mesh velocities and accelerations and spatial mesh velocities and accelerations. Copyright © 2006 John Wiley & Sons, Ltd.     

天然软黏土的弹黏塑性本构模型：进展及 发展

天然软黏土由于土结构的存在表现出比较复杂的力学特性：应力应变关系的时效特征;固有各向异性和诱发各向异性;土颗粒间的胶结和大孔隙结构在变形过程中的破坏。基于上述某些试验现象,学者们提出了很多一维和三维的弹黏塑性本构模型。为了弥补现有模型对软黏土力学特征的描述考虑不足,作者在弹黏塑性力学理论的框架下,由浅入深地建立了一系列的天然软黏土的本构模型： ① 在 非结构性 土的一维压缩试验基础上建立一维弹黏塑性本构模型; ② 在 非结构性 土 的 三轴试验基础上扩展一维模型到三维弹黏塑性本构模型; ③ 在 结构性 土 的 一维压缩试验基础上扩展一维非结构性土模型到一维结构性土模型; ④ 结合前面的模型和结构性土的三轴试验现象提出三维结构性软黏土的弹黏塑性本构模型。 所有模型均得以验证。 三维 结构性 土 模型需要的试验成本同修正剑桥模型,且所有参数的确定都非常直接。     

Paste engineering: Multi‐Phase materials and multi‐phase flows

The multi‐phase nature of granular pastes, coupled with their non‐Newtonian rheology and inherent inhomogeneity, makes characterisation and prediction of flow behaviour challenging. We focus on ‘stiff’ pastes which can maintain their shape after extrusion. We describe how the approach presented by Benbow and Bridgwater can be used to predict the deformation and flow behaviour of such materials. Illustrations are drawn from industrial pastes and applications studied in our group. Its basis in viscoplasticity and pure plasticity is discussed. Problems associated with ‘stiff’ pastes are highlighted. Finally, a roadmap is presented summarising how we think the progress of paste understanding needs to be developed. © 2011 Canadian Society for Chemical Engineering