Modelling of biaxial ratcheting behaviour of ultrahigh‐molecular‐weight polyethylene with viscoplasticity theory based on overstress for polymers

Biaxial ratcheting behaviour of ultrahigh‐molecular‐weight polyethylene (UHMWPE) has been modelled using the viscoplasticity theory based on overstress for polymers (VBOP) with the modified Chaboche kinematic hardening rule. Investigated loading condition is: axial strain‐controlled cyclic loading of thin‐walled tubular specimen in the presence of constant pressure. To improve the circumferential strain ratcheting response of UHMWPE, changes designed to account for kinematic hardening and tangent modulus effects are proposed. Numerical results are compared with previously obtained experimental data. It is shown that modified tangent modulus improves the model responses. The biaxial ratcheting behaviour of UHMWPE is modelled quantitatively with VBOP. © 2015 Society of Chemical Industry     

Damage Operator‐Based Lifetime Calculation Under Thermomechanical Fatigue and Creep for Application on Uginox F12T EN 1.4512 Exhaust Downpipes

Abstract:  The article focuses on the application of a recently developed damage operator‐based lifetime calculation to a thermomechanically loaded exhaust downpipe. The damage operator approach enabling online continuous damage calculations for isothermal and non‐isothermal loading with mean stress corrections is reviewed. The article also highlights an extension of the strain‐life approach to take into account viscoplastic effects and creep. The transient results from thermal and structural analyses using finite element analyses have been applied to the exhaust downpipe in LMS Virtual.Lab and the damage predicted. Tested exhaust downpipes were then subjected to the same loading conditions as in the calculation, and load cycles were repeated up to the point of failure. Simulated and test results are comparable.     

Computational analysis of PTFE shaft seals

An endochronic viscoplastic approach, derived from the theory of finite viscoplasticity based on material isomorphisms, is presented, in order to describe the nonlinear material behaviour of filled polytetrafluoroethylene (PTFE) in a computational analysis of PTFE shaft seals. The model allows to characterize viscoplastic material behaviour with an equilibrium hysteresis using a rate-independent elastoplastic model (with an endochronic flow rule and a logarithmic elastic law) in parallel connection with a nonlinear Maxwell model. Due to the endochronic flow rule, an elastic range limited by a yield stress is not needed in the present approach. The volumetric stress contribution is assumed to be purely elastic. The proposed model is applied to simulate the mounting process of PTFE shaft seals in an axially symmetric finite element analysis. The numerical results (radial force, pressure in the contact zone) are in fair agreement with the experimental data.     

Vibrations of Layered Beams under Conditions of Damaging and Slipping Interfaces

A nonlinear laminate layerwise beam theory is developed to simulate the effect of inelastic interlayer slip on the stiffness degradation of layered beam structures. Layerwise continuous and linear in-plane displacement fields are implemented. It is shown that by definition of an effective cross-sectional rotation the complex problem reduces to the simpler case of a homogenized shear-deformable beam with effective stiffness and a corresponding set of boundary conditions. Inelastic defects of the interlayer material are equivalent to eigenstrains in an identical but unlimited elastic background structure of the homogenized beam with proper effective virgin stiffness. Cross-sectional resultants of these eigenstrains are defined. Since the incremental response of the background to the given load and to the properly imposed eigenstrain increments is considered to be linear within a given time step, effective solution methods of the linear theory of flexural vibrations become applicable. This revised version was published online in July 2006 with corrections to the Cover Date.     

Rheology elasticity determined by deformation of stretchable molecular trains

The average stretching direction,local rotation angular,and stretching ratio parameters of molecular trains were used to express the rheology deformation.Based on this micro geometrical deformation,the macro deformation of medium was expressed.Then,using intrinsic elasticity concept,the stress-strain relation was obtained.In this theoretic formulation,the response functions of extension ratio and rotation angular were used to express the rheology feature of medium.For medium composed by incompressible molecular trains,the local rotation angular divides rheology deformation into three kinds:viscoelastic deformation or elasticity enhancement,viscoplastic deformation or elasticity degenerate and constant elasticity range.These results explain the experimental features of rheology deformation well.     

岩体三维弹粘塑性块体理论的初步研究

本文通过引入结构面上的弹粘塑性变形特征,建立了岩体的三维弹粘塑性块体理论。该法可以分析各种荷载作用下岩体的变形和破坏随时间的发展过程,推求的安全系数精度高且偏于安全,而且仍保持了通常块体理论简捷方便的优点。     

节理岩体的弹塑性和弹—粘塑性有限元计算

本文提出了具有三组节理的岩体的弹塑性和弹—粘塑性有限元算法。由于考虑了节理间距和变形引起的岩体结构的改变,提出的模型比一般的“多层模型”更好地反映了节理岩体的变形特点。所得的结果可推广到具有任意组节理的岩体中去。     

复杂岩基上拱坝的弹粘塑性有限元分析

本文利用节理岩体三维弹粘塑性有限元算法,对某大型重力拱坝连同坝基进行了计算分析,得出了一些有意义的结果,表明了该法的应用前景。     

模拟加工成型的稳态化混合有限元分析

近年来有限元方法应用于模拟加工成型过程的研究取得了较大的发展。稳态化混舍有限元法由于避免了伽辽金有限元方法存在的问题，引起越来越多学者的重视。首先使用罚因子将材料的体积近似不可压缩性或不可压缩性条件引入有限元基本平衡方程，针对Anand粘塑性材料模型争超塑性材料模型，导出了压力-位移(速度)稳态化混舍有限元方程，给出了各种材料模型的有效粘度表达式，找出它与等效应变速率之间的关系，算例的结果与ANSYS有限元分析软件进行比较；验证了结果的可靠性。     

Coupled elastoplasticity and viscoplasticity under thermomechanical loading

This paper is a contribution to material behaviour modelling. Total strain is decomposed into elastoplastic and viscoplastic strains. Both parts are analysed separately and put together by the principle of superposition. The spring‐slider model controlled by either stress or strain enables elastoplasticity modelling under constant or variable temperature with the Prandtl operators. Viscoplasticity is taken into account, if temperature exceeds creep temperature, by adding a nonlinear damper to existing spring‐slider models, otherwise just elastoplasticity is considered. The material parameters result from isothermal strain‐controlled low cycle fatigue (LCF) tests. Hysteresis loops are assumed to be stabilized. The high speed of computation that is characteristic of Masing and memory rules is retained. Solving of differential equations is not required. The model developed so far is uniaxial, but a multiaxial extension is possible.