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1.
The predictive capabilities of the shear-modified Gurson model [Nielsen and Tvergaard, Eng. Fract. Mech. 77, 2010] and the Modified Mohr-Coulomb (MMC) fracture model [Bai and Wierzbicki, Int. J. Fract. 161, 2010] are evaluated. Both phenomenological fracture models are physics-inspired and take the effect of the first and third stress tensor invariants into account in predicting the onset of ductile fracture. The MMC model is based on the assumption that the initiation of fracture is determined by a critical stress state, while the shear-modified Gurson model assumes void growth as the governing mechanism. Fracture experiments on TRIP-assisted steel sheets covering a wide range of stress states (from shear to equibiaxial tension) are used to calibrate and validate these models. The model accuracy is quantified based on the predictions of the displacement to fracture for experiments which have not been used for calibration. It is found that the MMC model predictions agree well with all experiments (less than 4% error), while less accurate predictions are observed for the shear-modified Gurson model. A comparison of plots of the strain to fracture as a function of the stress triaxiality and the normalized third invariant reveals significant differences between the two models except within the vicinity of stress states that have been used for calibration. 相似文献
2.
Xiaosheng Gao Tingting ZhangJun Zhou Stephen M. GrahamMatthew Hayden Charles Roe 《International Journal of Plasticity》2011,27(2):217-231
It has been shown that the plastic response of many materials, including some metallic alloys, depends on the stress state. In this paper, we describe a plasticity model for isotropic materials, which is a function of the hydrostatic stress as well as the second and third invariants of the stress deviator, and present its finite element implementation, including integration of the constitutive equations using the backward Euler method and formulation of the consistent tangent moduli. Special attention is paid for the adoption of the non-associated flow rule. As an application, this model is calibrated and verified for a 5083 aluminum alloy. Furthermore, the Gurson-Tvergaard-Needleman porous plasticity model, which is widely used to simulate the void growth process of ductile fracture, is extended to include the effects of hydrostatic stress and the third invariant of stress deviator on the matrix material. 相似文献
3.
Maria K. Duszek-Perzyna P. Perzyna 《Archive of Applied Mechanics (Ingenieur Archiv)》1998,68(5):352-374
Summary The main objective of the paper is the investigation of the influence of the anisotrophy and plastic spin effects on criteria
for adiabatic shear band localization of plastic deformation. A theory of thermoplasticity is formulated within a framework
of the rate-type covariance material structure with a finite set of internal state variables. The theory takes into consideration
such effects as plastic non-normality, plastic-induced anisotropy (kinematic hardening), micro-damage mechanism, thermomechanical
coupling and plastic spin.
The next objective of the paper is to focus attention on cooperative phenomena in presence of the plastic spin, and the discussion
on the influence of synergetic effects on localization criteria. A particular constitutive law for the plastic spin is assumed.
The necessary condition for a localized plastic deformation region to be formed is obtained. This condition is accomplished
by the assumption that some eigenvalues of the instantaneous adiabatic acoustic tensor vanish. A procedure has been developed
which allows us to discuss two separate groups of effects on the localization phenomenon along a shear band. Plastic spin,
spatial covariance and kinematic hardening effects are investigated at an isothermal process in an undamaged solid. In the
second case, an adiabatic process in a damaged solid is discussed when the spatial covariance terms and the plastic spin are
neglected. Here the thermomechanical coupling, micro-damage mechanism and kinematic hardening effects are examined. For both
cases, the criteria for adiabatic shear band localization are obtained in an exact analytical form.
Particular attention is focused on the analysis of the following effects: (i) plastic non-normality; (ii) plastic spin; (iii)
covariant terms; (iv) plastic strain-induced anisotropy; (v) micro-damage mechanism; (vi) thermomechanical couplings. Cooperative
phenomena are considered, and synergetic effects are investigated.
A discussion of the influence of the plastic spin, kinematic hardening and covariant terms on the shear band localization
conditions is presented. A numerical estimation of the effects discussed is given.
Received 24 April 1997; accepted for publication 23 December 1997 相似文献
4.
A new experimental technique has been developed to investigate the onset of fracture in metals at low and intermediate stress
triaxialities. The gage section of a flat specimen has been designed such that cracks are most likely to initiate within the
specimen center, remote from the specimen boundaries. Along with the specimen, a biaxial testing device has been built to
apply a well-defined displacement field to the specimen shoulders. The stress state within the specimen is adjusted by changing
the biaxial loading angle. Using this new experimental technique, the crack initiation in metals can be studied experimentally
for stress triaxialities ranging from 0.0 to 0.6. The stress and strain fields within the specimen gage section are determined
from finite element analysis. The reliability of the computational model of the test set-up has been verified by comparing
the simulation results with laser speckle-interferometric displacement measurements during testing. Sample experiments have
been performed on the Al-7Si-Mg gravity die casting alloy. A three-step hybrid experimental–numerical calibration procedure
has been proposed and applied to determine a phenomenological crack formation criterion for the Al-7Si-Mg alloy.
相似文献
D. MohrEmail: |
5.
ZHU Sheng-Jiang J.H. Hamilton A.V. Ramayya J.K. Hwang J.O. Rasmussen Y. X. Luo K. Li WANG Jian-Guo CHE Xing-Lai DING Huai-Bo S. Frauendorf V. Dimitrov XU Qiang GU Long YANG Yun-Yi 《中国物理C(英文版)》2009,33(Z1)
High spin states in A ~ 110 neutron-rich 106Mo, 110Ru and 112Ru nuclei have been reinvestigated by measuring the prompt γ-rays from the spontaneous fission of 252Cf. Two similar sets of bands are observed to high spins in each of three nuclei. Through analyzing of characters of the band structures, the chiral doublet bands are suggested in 106Mo, 110Ru and 112Ru. 相似文献
6.
In this paper, it is shown that a micromechanically motivated macroscopic model can predict with accuracy the role of the stress state on void evolution in engineering materials. Specifically, a recent criterion that accounts for the influence of all stress invariants on the dilatational response of porous metals is used to predict porosity evolution and strength reduction in aluminum alloy AA 6016-T4. A very good quantitative agreement between the simulation results and X-ray tomography damage measurements in specimens of different notch acuities is obtained. In contrast to existing models, the void volume fraction evolution correlates very well with the X-ray data for all stress triaxialities. 相似文献
7.
金属材料脆性断裂机理的实验研究 总被引:1,自引:0,他引:1
材料的脆性断裂有许多准则和模型,但对脆断机理和变化规律缺乏合理的描述,给工程应用带来不便。本文对典型脆性材料球墨铸铁、灰铸铁分别进行了拉扭双轴断裂实验和常规拉伸、扭转破坏实验;对韧性金属材料合金钢进行了单轴拉伸颈缩破坏实验。通过上述实验分析了脆性材料和韧性材料发生脆性断裂的机理特征并选择应力三维度作为应力状态参数描述危险点的应力状态,同时考察了脆性材料和韧性材料发生脆性断裂的主导因素。结果表明:韧性材料45#钢和14CrNiMoV合金钢在颈缩断面心部应力三维度值较大时发生脆性拉断,而在颈缩断面边缘处应力三维度值较小时发生剪断;脆性材料球墨铸铁在应力三维度值为0.0~0.33之间变化时均发生脆性断裂;灰铸铁在应力三维度值大于0.0时发生脆性拉断,而在应力三维度值小于0.0时发生剪断。因此可以认为,材料的细观组织结构和危险点应力状态是影响断裂机理及变化规律的主要因素。对于同种材料,随着应力三维度代数值从小向大变化材料的断裂机制由塑性剪切断裂逐渐转变为脆性断裂。本文通过对几种材料的脆性断裂危险点和断裂方向的研究给出了脆断宏观破坏条件。 相似文献
8.
9.
Xiaoqing Jin Leon M. Keer Kraiwood Kiattikomol 《Journal of the mechanics and physics of solids》2008,56(4):1127-1146
The refined Dugdale-type plastic zones ahead of an external circular crack, subjected to a uniform displacement at infinity, are evaluated both analytically and numerically. The analytical method utilizes potential theory in classical linear elasticity with emphasis on the contrast from the internal crack problem. A closed-form solution to the mixed boundary problem is obtained to predict the length of the plastic zone for a Tresca yield condition. The analytical solution is also used to benchmark the results obtained from the numerical method, which show good agreement. Through an iterative scheme, the numerical technique is able to estimate the size of crack tip plasticity zone, which is governed by the non-linear von Mises criterion. The relationships between the applied displacement and the length of the plastic zone are compared for the different yielding conditions. Computational modeling has demonstrated that the plastic constraint effect based on the true yield condition can significantly influence the load-bearing capacity. It is also discovered from the comparative study that the stress components predicted by the three different yield conditions may differ notably; however, the stress triaxiality in the ligament region has only small deviations. The proposed study may find applications in predicting the plastic flow in a circumferentially notched round bars under tension. 相似文献
10.
A.J. Kulkarni K. Sarasamak J. Wang F.J. Ke S. Limpijumnong M. Zhou 《Mechanics Research Communications》2008,35(1-2):73
Molecular dynamics (MD) simulations and first-principles calculations are carried out to analyze the stability of both newly discovered and previously known phases of ZnO under loading of various triaxialities. The analysis focuses on a graphite-like phase (HX) and a body-centered-tetragonal phase (BCT-4) that were observed recently in - and [0 0 0 1]-oriented nanowires respectively under uniaxial tensile loading as well as the natural state of wurtzite (WZ) and the rocksalt (RS) phase which exists under hydrostatic pressure loading. Equilibrium critical stresses for the transformations are obtained. The WZ → HX transformation is found to be energetically favorable above a critical tensile stress of 10 GPa in nanowires. The BCT-4 phase can be stabilized at tensile stresses above 7 GPa in [0 0 0 1] nanowires. The RS phase is stable at hydrostatic pressures above 8.2 GPa. The identification and characterization of these phase transformations reveal a more extensive polymorphism of ZnO than previously known. A crystalline structure–load triaxiality map is developed to summarize the new understanding. 相似文献