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Local strain energy density Applied to Bainitic Functionally Graded Steels Plates Under Mixed-Mode(Ⅰ+Ⅱ) Loading

Acta Metallurgica Sinica(English Letters) 2015年第2期28卷 164-172页

作者： H.Salavati Y.Alizadeh F.Berto Department of Mechanical Engineering Amirkabir University of Technology Department of Management and Engineering University of Padova

In this paper, the averaged value of the strain energy density （SED） over a control volume is used to predict the critical load of V-notched specimens made of functionally graded steels （FGSs） under mixed-mode loading. The studied FGSs contain ferritic and austenite phases in addition to bainitic layer produced by electroslag remelting. The mechanism- based strain gradient plasticity theory is used to determine the flow stress （yield stress or ultimate stress） of each layer. The Young＇s modulus and the Poisson＇s ratio have been assumed to be constant, while other mechanical properties vary exponentially along the specimen width. The control volume is centered in relation to the maximum principal stress present on the notch edge and assumes a crescent shape. The points belonging to the volume perimeter are obtained numerically. In the present contribution, the effects of notch radius and notch depth on the SED and the critical load are studied. The notch radius varies from 0.2 to 2.0 mm, and the notch depth varies from 5 to 7 ram. By using the SED approach and finite element simulations, the critical load is determined, and the obtained results show a sound agreement with the experimental results.

关键词： Functionally bainitic graded steel strain energy density Mechanism-based strain gradientplasticity theory Critical load Notch radius Notch depth

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Fatigue strength of Al7075 notched plates based on the local SED averaged over a control volume

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Science China(Physics,Mechanics & Astronomy) 2014年第1期57卷 30-38页

作者： BERTO Filippo LAZZARIN Paolo University of Padova Department of Management and Engineering Stradella San Nicola 3 36100 Vicenza Italy

When pointed V-notches weaken structural components, local stresses are singular and their intensities are expressed in terms of the notch stress intensity factors （NSIFs）. These parameters have been widely used for fatigue assessments of welded struc- tures under high cycle fatigue and sharp notches in plates made of brittle materials subjected to static loading. Fine meshes are required to capture the asymptotic stress distributions ahead of the notch tip and evaluate the relevant NSIFs. On the other hand, when the aim is to determine the local strain energy density （SED） averaged in a control volume embracing the point of stress singularity, refined meshes are, not at all, necessary. The SED can be evaluated from nodal displacements and regular coarse meshes provide accurate values for the averaged local SED. In the present contribution, the link between the SED and the NSIFs is discussed by considering some typical welded joints and sharp V-notches. The procedure based on the SED has been also proofed to be useful for determining theoretical stress concentration factors of blunt notches and holes. In the second part of this work an application of the strain energy density to the fatigue assessment of A17075 notched plates is presented. The experimental data are taken from the recent literature and refer to notched specimens subjected to different shot peening treatments aimed to increase the notch fatigue strength with respect to the parent material.

关键词： strain energy density control volume coarse mesh

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A review on material models for isotropic hyperelasticity

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International Journal of Mechanical System Dynamics 2021年第1期1卷 71-88页

作者： Stephen K.Melly Liwu Liu Yanju Liu Jinsong Leng Department of Astronautical Science and Mechanics Harbin Institute of Technology(HIT)HarbinChina Center for Composite Materials and Structures Harbin Institute of Technology(HIT)HarbinChina

Dozens of hyperelastic models have been formulated and have been extremely handy in understanding the complex mechanical behavior of materials that exhibit hyperelastic behavior(characterized by large nonlinear elastic deformations that are completely recoverable)such as elastomers,polymers,and even biological *** models are indispensable in the design of complex engineering com-ponents such as engine mounts and structural bearings in the automotive and aerospace industries and vibration isolators and shock absorbers in mechanical ***,the problem of vibration control in mechanical system dy-namics is extremely important and,therefore,knowledge of accurate hyperelastic models facilitates optimum designs and the development of three‐dimensional finite element system dynamics for studying the large and nonlinear deformation *** review work intends to enhance the knowledge of 15 of the most com-monly used hyperelastic models and consequently help design engineers and scientists make informed decisions on the right ones to *** each of the models,expressions for the strain‐energy function and the Cauchy stress for both arbitrary loading assuming compressibility and each of the three loading modes(uniaxial tension,equibiaxial tension,and pure shear)assuming incompressibility are ***,the stress–strain or stress–stretch plots of the model's pre-dictions in each of the loading modes are compared with that of the classical experimental data of Treloar and the coefficient of determination is utilized as a measure of the model's predictive ***,a ranking scheme is proposed based on the model's ability to predict each of the loading modes with minimum deviations and the overall coefficient of determination.

关键词： constitutive models finite deformation hyperelastic mechanical system dynamics strain energy density

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A strain energy Gradient-based Adaptive EFG Model for Contact Problems

A Strain Energy Gradient-based Adaptive EFG Model for Contac...

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The second Asia-Pacific International Conference on Computational Methods in Engineering（ICOME2006）

作者： Zheng Zhang Geng Liu Tianxiang Liu School of Mechatronic Engineering Northwestern Polytechnical University Xi’an 710072 China

An adaptive element-free Galerkin method （EFGM） procedure based on the gradient of strain energy is implemented. The schemes, including principle explanation, arithmetic analysis and programming realization, based on the gradient of strain energy density are introduced. A cell error estimate based on background cells and a local domain refinement technique is given. Through analysis an infinite plate with a circular hole, the strain energy gradient-based adaptive EFGM procedure correctness is verified. Furthermore, a strain energy gradient-based adaptive EFG Model for an elastic cylinder contacting with a rigid plane problem is discussed. These numerical examples show that the automatic adaptive EFGM procedure is effective and valid.

关键词： element-free Galerkin method adaptive strain energy density contact

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An energy-based low-cycle fatigue life evaluation method considering anisotropy of single crystal superalloys

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Propulsion and Power Research 2022年第2期11卷 253-264页

作者： Tianxiao Sui Duoqi Shi Yongsheng Fan Zhenlei Li Xiaoguang Yang School of energy and Power Engineering Beihang UniversityBeijing102206China

The crystal orientation significantly affects the low-cycle fatigue (LCF) propertiesof single crystal (SC) superalloys. However, the orientation-dependent LCF life model withprecise mechanisms and strong applicability is still lacking. This investigation aims at establishing an energy-based LCF life evaluation method that could consider the orientation effect. First,the influencing factors of anisotropy were identified through the literature review. Secondly, themultiaxial formula of the Ramberg-Osgood (ReO) equation was established to describe theanisotropic cyclic deformation characteristics. Furthermore, the strain energy density of SC superalloys was determined based on this equation, and the effective strain energy density wasintroduced to account for the effect of orientation. Finally, the energy-based method was validated by its application to several SC superalloys. Results showed that the crystallographicorientation with a lower Young’s modulus usually exhibits better LCF resistance. This phenomenon could be attributed to the different values of strain energy density dissipated in one *** multiaxial ReO relationship could capture the anisotropic cyclic deformation response ofDD6. Compared with the classical methods, the energy-based model is favored by its precisemechanism and strong applicability. And it also exhibited better prediction accuracy. Most datapoints of different crystallographic orientations lay within the 3 error band.

关键词： strain energy density Single crystal superalloys Low cycle fatigue Crystallographic orientation Anisotropy

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FATIGUE CRACK PROPAGATION FOR BIAXIAL STRESS CYCLING

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Acta Metallurgica Sinica(English Letters) 1989年第4期2卷 284-292页

作者： PEI Hongxun Institute of Corrosion and Protection of Metals,Academia Sinica,Shenyang,China Institute of Corrosion and Protection of Metals,Academia Sinica,Shenyang,China

Based on the experimental study of complex biaxial mode Ⅰ fatigue crack growth and the discussion on Von Mises'theory,a new approach is proposed for correlating crack propaga- tion rate under both in-phase and out-of... 详细信息

关键词： biaxial stress fatigue crack propagation strain energy density non-proportional loading

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