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Journal articles on the topic 'Neuber'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Lei, Dong, Bin Kai Shi, Ge Li, and Jian Hua Zhao. "Fatigue Life Prediction Using Average Strain Range of Fatigue Process Zone." Applied Mechanics and Materials 29-32 (August 2010): 474–78. http://dx.doi.org/10.4028/www.scientific.net/amm.29-32.474.

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In low-cycle fatigue process, plastic strain takes place at notch root vicinity fast appears induced by high stress concentration. Plastic strain makes material non-uniform and the change of distribution of local stress. The approximation to stress concentration point of Neuber’s rule is not suitable for some plastic materials in engineering practice. In this paper, the average strain of fatigue process zone was considered to substitute Neuber strain for predicting fatigue life. Prediction results indicated that average strain range of fatigue process zone is more suitable than Neuber strain r

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2

Davies, C. M., N. P. O'Dowd, K. M. Nikbin, G. A. Webster, and F. Biglari. "Comparison of methods for obtaining crack-tip stress distributions in an elastic-plastic material." Journal of Strain Analysis for Engineering Design 40, no. 5 (2005): 431–49. http://dx.doi.org/10.1243/030932405x16098.

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Under linear elastic and elastic-plastic conditions the K field and the HRR (Hutchinson-Rice-Rosengren) field respectively are expected to provide an accurate representation of the stress field close to the crack tip in an elastic-plastic material. It has recently been proposed in French and UK defect assessment procedures that the Neuber method, originally developed for sharply curved notches, provides an alternative approach to estimate both notch and crack-tip stress fields, for use in conjunction with the sigma- d (σd) method to predict creep crack initiation times. In this work, the crack

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3

Sharpe, W. N., C. H. Yang, and R. L. Tregoning. "An Evaluation of the Neuber and Glinka Relations for Monotonic Loading." Journal of Applied Mechanics 59, no. 2S (1992): S50—S56. http://dx.doi.org/10.1115/1.2899507.

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The Neuber relation is widely used to compute elastoplastic stresses and strains at stress concentrations, but a newer relation has been developed by Glinka. Prediction of local strain response is important because low cycle, fatigue life models are based on the strain range. The effects of notch root constraint on the response have been difficult to predict or measure. This paper evaluates the abilities of six models of notch root behavior by comparing them with experimental results over a range of constraints. The models are: the Neuber model, the Neuber model as modified by Walker, the Glin

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4

Blatti, Stephan, and Sandra Lapointe. "Ontology after Carnap (Matthias Neuber)." Zeitschrift für philosophische Forschung 71, no. 1 (2017): 166–69. http://dx.doi.org/10.3196/004433017820875765.

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5

Mereuta, Valentin, Mihaela Buciumeanu, and Liviu Palaghian. "3D Roughness Parameters as Factors in Determining the Evolution of Effective Stress Concentration Factors in Fatigue Processes." Applied Mechanics and Materials 248 (December 2012): 504–10. http://dx.doi.org/10.4028/www.scientific.net/amm.248.504.

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The influence of machined surface roughness on the fatigue life of S355JR steel has been investigated. The specimen have been machined with three roughness levels and tested under plane fatigue. The surface roughness parameters were used to estimate the effective stress concentration factors Kt using the Arola-Ramulu model and Neuber model. In this paper it is proposed a modification for both models. Based on the experimental results was obtained the evolution of the effective stress concentration factor for the original Arola-Ramulu and Neuber models and also for the modified ones.

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6

Wang, K. C., and W. N. Sharpe. "Evaluation of a Modified Cyclic Neuber Relation." Journal of Engineering Materials and Technology 113, no. 3 (1991): 350–53. http://dx.doi.org/10.1115/1.2903417.

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A preceding paper reported the results of biaxial strain measurements at the roots of notched aluminum specimen subjected to monotonic tension loading. The specimens had different amounts of constraints at the notch root, and it was shown that a modified version of the Neuber relation gave some improvement in its predictive capability. Several of those specimens were also subjected to fully reversed cyclic loading until microcracks formed at the notch roots, and the results of those biaxial strain measurements are reported here. The modified Neuber relation in the cyclic form was used to predi

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7

Zhang, WX, and LM Yang. "Papkovitch Neuber Type Solutions for Viscoelasticity." IOP Conference Series: Earth and Environmental Science 560 (August 26, 2020): 012025. http://dx.doi.org/10.1088/1755-1315/560/1/012025.

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8

Zoppi, Federica. "Reseña de Bleier, Roman, Bürgermeister, Martina, Klug, Helmut W., Neuber, Frederike y Schneider, Gerlinde (eds.): "Digital Scholarly Editions as Interfaces"." Revista de Humanidades Digitales 4 (November 1, 2019): 207. http://dx.doi.org/10.5944/rhd.vol.4.2019.24190.

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Reseña del volumen: Bleier, Roman; Bürgermeister, Martina, Klug, Helmut W., Neuber, Frederike y Schneider, Gerlinde (eds.). Digital Scholarly Editions as Interfaces. Norderstedt: Books on Demand, 2018. ISBN: 9783748109259

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9

Banaszkiewicz, Mariusz, and Waldemar Dudda. "Applicability of Notch Stress-Strain Correction Methods to Low-Cycle Fatigue Life Prediction of Turbine Rotors Subjected to Thermomechanical Loads." Acta Mechanica et Automatica 12, no. 3 (2018): 179–85. http://dx.doi.org/10.2478/ama-2018-0027.

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Abstract The paper analyses the possibility of using analytical methods of notch stress-strain correction in low-cycle fatigue life predictions of steam turbine rotors operating under non-isothermal conditions. The assessment was performed by comparing strain amplitudes calculated using the Neuber and Glinka-Molski methods and those predicted by the finite element analysis (FEA) employing elastic-plastic material model. The results of investigations reveal that the Neuber method provides an upper bound limit, while the Glinka-Molski method results in a lower bound limit of strain amplitude. In

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10

Zsuppán, Sándor. "Examples for an extended Barabási-Albert model with random initial degrees." Dimenziók: matematikai közlemények 8 (2020): 3–13. http://dx.doi.org/10.20312/dim.2020.01.

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We develop a Papkovich-Neuber type representation formula for the solutions of the Navier-Lamé equation of linear elastostatics for spatial star-shaped domains. This representation is compared to the existing ones.

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11

Guerrero, José Luis Morales, Manuel Cánovas Vidal, José Andrés Moreno Nicolás, and Francisco Alhama López. "A note on the uniqueness of 2D elastostatic problems formulated by different types of potential functions." Open Physics 16, no. 1 (2018): 201–10. http://dx.doi.org/10.1515/phys-2018-0029.

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Abstract New additional conditions required for the uniqueness of the 2D elastostatic problems formulated in terms of potential functions for the derived Papkovich-Neuber representations, are studied. Two cases are considered, each of them formulated by the scalar potential function plus one of the rectangular non-zero components of the vector potential function. For these formulations, in addition to the original (physical) boundary conditions, two new additional conditions are required. In addition, for the complete Papkovich-Neuber formulation, expressed by the scalar potential plus two com

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12

Ike, CC, HN Onah, and CU Nwoji. "BESSEL FUNCTIONS FOR AXISYMMETRIC ELASTICITY PROBLEMS OF THE ELASTIC HALF SPACE SOIL: A POTENTIAL FUNCTION METHOD." Nigerian Journal of Technology 36, no. 3 (2017): 773–81. http://dx.doi.org/10.4314/njt.v36i3.16.

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Elasticity problems are formulated using displacement methods or stress methods. In this paper a displacement formulation of axisymmetric elasticity problem is presented. The formulation uses the Boussinesqâ€“ Papkovich â€“ Neuber potential function. The problem is then solved by assuming Boussinesq â€“ Papkovich - Neuber potential functions in the form of Bessel functions of order zero and of the first kind. The potential functions are then made to satisfy the governing field equations and the associated boundary conditions for the particular problem of a point load at the origin of the semi-

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13

Sharpe, W. N., and K. C. Wang. "Evaluation of a Modified Monotonic Neuber Relation." Journal of Engineering Materials and Technology 113, no. 1 (1991): 1–8. http://dx.doi.org/10.1115/1.2903378.

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It has been proposed in the literature that the Neuber relation be modified to read Kε/Kt×(Kσ/Kt)m=1 in order to improve its predictive capability when plane strain loading conditions exist. Kε, Kσ, and Kt are respectively the strain, stress, and elastic concentration factors. The exponent m is proposed to be 1 for plane stress and 0 for plane strain. This paper reports the results of biaxial notch root strain measurements on three sets of double-notched aluminum specimens that have different thicknesses and root radiuses. Elastoplastic strains are measured over gage lengths as short as 150 mi

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14

Radaj, D., P. Lazzarin, and F. Berto. "Generalised Neuber concept of fictitious notch rounding." International Journal of Fatigue 51 (June 2013): 105–15. http://dx.doi.org/10.1016/j.ijfatigue.2013.01.005.

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15

Ton Tran Cong. "On the completeness of the Papkovich-Neuber solution." Quarterly of Applied Mathematics 47, no. 4 (1989): 645–59. http://dx.doi.org/10.1090/qam/1031682.

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16

Shah, Rahul S., Kuo-Chiang Wang, and Mary Jane Kleinosky. "Prediction of the Low-Cycle Fatigue Life of HY-100 Undermatched Welds in Marine Structures." Journal of Ship Production 11, no. 02 (1995): 71–80. http://dx.doi.org/10.5957/jsp.1995.11.2.71.

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Finite-element and analytical models are used in this study to predict the low-cycle fatigue life of undermatched (lower yield strength) weldments of HY-100 steel. The objective was to determine the feasibility of replacing conventional overmatched welds in marine structures. Fatigue tests were performed on standard, smooth specimens, notched cylindrical specimens and a four-point-bend test on a full-scale butt beam specimen. Numerical analyses were conducted using finite elements, with a two-surface plasticity algorithm to simulate the cyclic behavior of the individual materials. The stress a

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17

CHOI, WOOSUNG, and JUNGSEOB HYUN. "A LIFE ASSESSMENT FOR STEAM TURBINE CASING USING INELASTIC ANALYSIS." Modern Physics Letters B 22, no. 11 (2008): 1141–46. http://dx.doi.org/10.1142/s0217984908015978.

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An important characteristic of a fossil power plant is its ability to maintain reliability and safety of the plant against frequent start-ups and load changes. Unstable states arising during start-ups, shutdowns and load changes give rise to unsteady temperature distribution with time in steam turbine innercasing (HP/IP), which results in non-uniform strain and stress distribution. The rapid increase of temperature during starts-ups, especially, causes susceptible to failure and reduction of expected life for steam turbine components. Thus accurate knowledge of thermal stresses is required for

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18

Kuhn, Günther. "Prof. Dr.-Ing. Dr.rer.nat. h.c. Heinz Neuber – 100 Years." Archive of Applied Mechanics 76, no. 11-12 (2006): 615–16. http://dx.doi.org/10.1007/s00419-006-0090-0.

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19

Zappalorto, Michele, and Paolo Andrea Carraro. "Neuber fictitious notch rounding approach reformulated for orthotropic materials." Engineering Fracture Mechanics 191 (March 2018): 441–45. http://dx.doi.org/10.1016/j.engfracmech.2018.01.006.

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20

Antoni, Nicolas. "A novel rapid method of purely elastic solution correction to estimate multiaxial elastic-plastic behaviour." Journal of Computational Design and Engineering 6, no. 3 (2019): 269–83. http://dx.doi.org/10.1016/j.jcde.2019.01.002.

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Abstract In structural analysis, it is of paramount importance to assess the level of plasticity a structure may experience under monotonic or cyclic loading as this may have a significant impact, particularly in fatigue analysis for singular areas. For efficient design analyses, it is often searched for a compromise in accuracy that consists in correcting a purely elastic analysis, generally simpler and faster to obtain compared to a full non-linear Finite Element (FE) analysis involving elastic-plastic behaviour, to estimate the actual elastic-plastic solution. There exists a great number of

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21

Tsuchida, E., T. Mura, and J. Dundurs. "The Elastic Field of an Elliptic Inclusion With a Slipping Interface." Journal of Applied Mechanics 53, no. 1 (1986): 103–7. http://dx.doi.org/10.1115/1.3171693.

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The paper analyzes the elastic fields caused by an elliptic inclusion which undergoes a uniform expansion. The interface between the inclusion and the matrix cannot sustain shear tractions and is free to slip. Papkovich–Neuber displacement potentials are used to solve the problem. In contrast to the perfectly bonded interface, the solution cannot be expressed in closed form and involves infinite series. The results are illustrated by numerical examples.

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22

Glinka, G., W. Ott, and H. Nowack. "Elastoplastic Plane Strain Analysis of Stresses and Strains at the Notch Root." Journal of Engineering Materials and Technology 110, no. 3 (1988): 195–204. http://dx.doi.org/10.1115/1.3226037.

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For the evaluation of the local elastoplastic strains and stresses at the notch root suitable approximation formulas of sufficient accuracy are often used. In the present study the “equivalent strain energy density” concept for elastic-plastic notch strain-stress analysis has been developed. It was found that the evaluation of the strain energy density in the notch tip plastic zones does not require any input data other than the material stress-strain relation and the elastic stress concentration factor. The concept was verified on the basis of the results obtained from plane strain elastic-pl

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23

O’Sullivan, T. C., and R. B. King. "Sliding Contact Stress Field Due to a Spherical Indenter on a Layered Elastic Half-Space." Journal of Tribology 110, no. 2 (1988): 235–40. http://dx.doi.org/10.1115/1.3261591.

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The quasi-static sliding contact stress field due to a spherical indenter on an elastic half-space with a single layer is studied. The contact problem is solved using a least-squares iterative approach and the stress field in the layer and substrate is determined using the Papkovich-Neuber potentials. The resulting stresses are discussed for different values of the layer stiffness relative to the substrate and also for different values of the friction coefficient.

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24

Hahn, Hans Georg. "In Memoriam Heinz Neuber 22. 11. 1906–18. 11. 1989." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 70, no. 7 (1990): 295–96. http://dx.doi.org/10.1002/zamm.19900700718.

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25

Kovalev, Vladimir Aleksandrovich, Eugenii Valeryevich Murashkin, and Yuri Nikolaevich Radayev. "On the Neuber theory of micropolar elasticity. A pseudotensor formulation." Вестник Самарского государственного технического университета. Серия «Физико-математические науки» 24, no. 4 (2020): 752–61. http://dx.doi.org/10.14498/vsgtu1799.

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Рассматривается псевдотензорная формулировка теории микрополярной упругости Нейбера. Приведены и обсуждаются динамические уравнения микрополярного континуума в терминах относительных тензоров (псевдотензоров). Даны определяющие уравнения для линейного изотропного микрополярного твердого тела. Окончательные формы динамических уравнений для изотропного микрополярного континуума в терминах смещений и микровращений получены в терминах относительных тензоров. Устранены недочеты в окончательной форме динамических уравнений Нейбера. Получены динамические уравнения Нейбера в цилиндрической системе коо

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26

Sharpe, William N. "ASME 1993 Nadai Lecture—Elastoplastic Stress and Strain Concentrations." Journal of Engineering Materials and Technology 117, no. 1 (1995): 1–7. http://dx.doi.org/10.1115/1.2804366.

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Elastic stress concentration factors are familiar and easily incorporated into the design of components or structures through charts or finite element analysis. However when the material at the most concentrated location no longer behaves elastically, computation of the local stresses and strains is not so easy. Local elastoplastic behavior is an especially important consideration when the loading is cyclic. This paper summarizes the predictive capability of the Neuber and the Glinka models that relate gross loading to the local stresses and strains. The author and his students have used a uni

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27

Hardy, S. J., and A. R. Gowhari-Anaraki. "Stress concentration factors and elastic-plastic stress and strain predictions for axisymmetric internal projections on hollow tubes subjected to axial loading." Journal of Strain Analysis for Engineering Design 24, no. 1 (1989): 45–54. http://dx.doi.org/10.1243/03093247v241045.

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The finite element method has been used to obtain stress concentration factor data for hollow tubes with axisym-metric internal projections subjected to axial loading. A range of geometries has been considered in the investigation, and the results are complementary to previously published data. Preliminary results from an elastic-plastic analysis of a component with an internal projection are presented. Strain predictions with an elastic-perfectly-plastic material model are found to be between those estimated using linear and Neuber rules for low cycle fatigue life predictions.

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28

Lurie, Volkov-Bogorodsky, and Vasiliev. "A New Approach to Non-Singular Plane Cracks Theory in Gradient Elasticity." Mathematical and Computational Applications 24, no. 4 (2019): 93. http://dx.doi.org/10.3390/mca24040093.

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A non-local solution is obtained here in the theory of cracks, which depends on the scale parameter in the non-local theory of elasticity. The gradient solution is constructed as a regular solution of the inhomogeneous Helmholtz equation, where the function on the right side of the Helmholtz equation is a singular classical solution. An assertion is proved that allows us to propose a new solution for displacements and stresses at the crack tip through the vector harmonic potential, which determines by the Papkovich–Neuber representation. One of the goals of this work is a definition of a new r

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29

Yates, W. E. "Wolfgang Neuber, Nestroys Rhetorik. Wirkungspoetik und Altwiener Volkskomödie im 19. Jahrhundert." Arbitrium 6, no. 3 (1988): 293–96. http://dx.doi.org/10.1515/arbi.1988.6.3.293.

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30

Venkatesh, D. N., and U. Shrinivasa. "Generation of an eight node brick element using Papcovitch-Neuber functions." Computers & Structures 54, no. 6 (1995): 1077–84. http://dx.doi.org/10.1016/0045-7949(94)00393-h.

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31

Lin’kov, A. M. "Loss of stability, characteristic length, and Novozhilov-Neuber criterion in fracture mechanics." Mechanics of Solids 45, no. 6 (2010): 844–55. http://dx.doi.org/10.3103/s0025654410060087.

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32

Hintermuller, M., V. A. Kovtunenko, and K. Kunisch. "A Papkovich-Neuber-based numerical approach to cracks with contact in 3D." IMA Journal of Applied Mathematics 74, no. 3 (2009): 325–43. http://dx.doi.org/10.1093/imamat/hxp017.

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33

Zhupanska, O. I. "Axisymmetric contact with friction of a rigid sphere with an elastic half-space." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2108 (2009): 2565–88. http://dx.doi.org/10.1098/rspa.2009.0109.

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The problem of normal contact with friction of a rigid sphere with an elastic half-space is considered. An analytical treatment of the problem is presented, with the corresponding boundary-value problem formulated in the toroidal coordinates. A general solution in the form of Papkovich–Neuber functions and the Mehler–Fock integral transform is used to reduce the problem to a single integral equation with respect to the unknown contact pressure in the slip zone. An analysis of contact stresses is carried out, and exact analytical solutions are obtained in limiting cases, including a full stick

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34

Möller, Eberhard. "Das Sterbehaus von Heinrich Schütz und die Neuberin." Schütz-Jahrbuch 22 (August 24, 2017): 129–34. http://dx.doi.org/10.13141/sjb.v2000891.

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Nach dem Tod von Kurfürst Johann Georg I. erhielt Heinrich Schütz ab 1657 beträchtliche Diensterleichterungen. Er hielt sich zumeist bei seiner Schwester Justina Thörmer in Weißenfels auf. Bei seinen Dresdner Besuchen wohnte Schütz bei seinem Verwandten Andreas Beyer in dem so genannten solmsschen Haus in der Moritzstraße 10. Hier starb Schütz am 6. November 1672. Aus dem Sächsischen Hauptstaatsarchiv Dresden konnte erstmalig der älteste Beleg für seinen Tod mitgeteilt werden. Ab Juli 1748 wohnte in dem Haus die Schauspielerin Caroline Neuber, zog aber wegen Klagen des Vermieters ein Jahr spät

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35

Clegg, Richard E., Kai Duan, and Alan J. McLeod. "Experimental Study on Theory of Critical Distance Applied to the Prediction of Fatigue from Notches." Advanced Materials Research 275 (July 2011): 27–30. http://dx.doi.org/10.4028/www.scientific.net/amr.275.27.

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Fatigue failure of metal components containing notches, cracks and other defects has been a very active research topic for well over seven decades because of its important practical and theoretical implications. Recently, Taylor and his colleagues have re-visited this topic and proposed the Theory of Critical Distance (TCD), which summarizes the early work by Neuber, Peterson and others in a unifying theory and predicts fatigue fracture with the use of a critical distance, L0. In this paper, an experimental and numerical study of the fatigue of notched and unnotched 6061 aluminium alloys is us

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36

Gürgöze, İ. T., and M. S. Dokuz. "Papkovich–Neuber solution for a mixture of two elastic solids and Kelvin problem." International Journal of Engineering Science 37, no. 4 (1999): 497–507. http://dx.doi.org/10.1016/s0020-7225(98)00075-5.

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37

Garber, Zev. "Der immer neue Exodus: Aneignungen und Transformationen des Exodusmotivs ed. by Carolin Neuber." Catholic Biblical Quarterly 82, no. 2 (2020): 342–44. http://dx.doi.org/10.1353/cbq.2020.0075.

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38

Ince, Ayhan, and Dongjun Bang. "Deviatoric Neuber method for stress and strain analysis at notches under multiaxial loadings." International Journal of Fatigue 102 (September 2017): 229–40. http://dx.doi.org/10.1016/j.ijfatigue.2017.05.007.

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39

Wang, W., and M. Z. Wang. "On single-valuedness of the Papkovich-Neuber general solution in two-dimensional elasticity." Mechanics Research Communications 17, no. 6 (1990): 403–8. http://dx.doi.org/10.1016/0093-6413(90)90057-j.

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40

Ying, F. Q., J. Z. Xia, and Y. Liu. "Application of Papkovich-Neuber function in stress calculation of pressure vessels and piping." International Journal of Pressure Vessels and Piping 68, no. 3 (1996): 273–77. http://dx.doi.org/10.1016/0308-0161(95)00065-8.

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41

Camporeale, C. "Hydrodynamically locked morphogenesis in karst and ice flutings." Journal of Fluid Mechanics 778 (July 30, 2015): 89–119. http://dx.doi.org/10.1017/jfm.2015.381.

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Two of the most widespread and fascinating patterns observed on cave walls and icefalls – karst and ice flutings – are demonstrated to share the same morphogenesis, whose core is a water film-induced locking mechanism. Creeping flow-based parallel and non-parallel stability analyses are developed through a numerical and analytical approach. These instabilities are shown to develop at inverted overhung conditions. A sharp transition between fluting and ripple-like patterns is presented. The non-parallel problem is solved with the use of Papkovich–Neuber solutions in order to obtain a finite wav

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42

Barber, J. R. "Three-Dimensional Elasticity Solutions for Isotropic and Generally Anisotropic Bodies." Applied Mechanics and Materials 5-6 (October 2006): 541–50. http://dx.doi.org/10.4028/www.scientific.net/amm.5-6.541.

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Classical methods of two-dimensional elasticity can be extended to give an exact solution of the three-dimensional problem for the beam — i.e. a general solution for the pris- matic bar loaded on its lateral surfaces, subject only to the restriction that the tractions can be expanded as power series in the axial coordinate z. A series of sub-problems Pj is defined by successive partial differentiations with respect to z. For isotropic materials, a recursive al- gorithm can be used for generating the solution to Pj+1 from that for Pj in the context of the Papkovich-Neuber solution. For the gene

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43

Hyde, T. H., R. Sabesan, and S. B. Leen. "Approximate Prediction Methods For Multiaxial Notch Stresses and Strains Under Elastic-Plastic and Creep Conditions." Journal of Strain Analysis for Engineering Design 40, no. 6 (2005): 535–48. http://dx.doi.org/10.1243/030932405x16016.

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This paper describes general techniques for predicting multiaxial notch stresses and strains under elastic-plastic and creep conditions. The Neuber method, which is often used in elastic-plastic analysis, has been adapted and extended for predicting creep equivalent notch stresses and strains, based on a time-stepping integration scheme. A linear interpolation method, often used in creep analysis, is adapted and extended for predicting elastic-plastic equivalent stresses and strains. Then notch principal stresses and strains are obtained by applying plasticity theory in combination with assump

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44

Yan, G. P., and M. Z. Wang. "Somigliana formula and the completeness of Papkovich-Neuber and Boussinesq-Galerkin solutions in elasticity." Mechanics Research Communications 15, no. 2 (1988): 73–77. http://dx.doi.org/10.1016/0093-6413(88)90054-7.

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45

Härkegård, G., and T. Mann. "Neuber prediction of elastic-plastic strain concentration in notched tensile specimens under large-scale yielding." Journal of Strain Analysis for Engineering Design 38, no. 1 (2003): 79–94. http://dx.doi.org/10.1243/030932403762671917.

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A general version of Neuber's rule, applicable to large-scale yielding, is presented. It is applied to a variety of notched tensile specimens made of power-hardening elastic-plastic material. Neuber's rule predictions of notch stress and strain are compared with finite element results. The best agreement is obtained for shallow mild notches. Models of more limited applicability, based on the invariance of the total strain energy density and the strain energy density at the root of the notch, have been applied to some of the specimens.

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Ohno, N., and M. Sˇatra. "Detailed and Simplified Elastoplastic Analyses of a Cyclically Loaded Notched Bar." Journal of Engineering Materials and Technology 109, no. 3 (1987): 194–202. http://dx.doi.org/10.1115/1.3225963.

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To find some features in the development of cyclic hardening in structural components with areas of strain concentration, detailed and simplified elastoplastic analyses are performed on an axisymmetric notched bar subjected to axial cyclic loading. For the detailed analysis, the constitutive model based on the cyclic nonhardening region is implemented in an incremental FEM. The model can describe an important feature in cyclic plasticity, i.e., the dependence of cyclic plastic behavior on cyclic stress and strain ranges. The simplified method which utilizes the cylic stress-strain curve as the

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Barber, J. R. "Three-dimensional elasticity problems for the prismatic bar." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2070 (2006): 1877–96. http://dx.doi.org/10.1098/rspa.2005.1646.

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A general solution is given to the three-dimensional linear elastic problem of a prismatic bar subjected to arbitrary tractions on its lateral surfaces, subject only to the restriction that they can be expanded as finite power series in the axial coordinate z . The solution is obtained by repeated differentiation of the tractions with respect to z , establishing a set of sub-problems . A recursive procedure is then developed for generating the solution to from that for . This procedure involves three steps: integration of the stress and displacement fields with respect to z , using an appropri

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Peng, Wei, and Bharat Bhushan. "A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids With Rough Surfaces by a Variational Principle." Journal of Tribology 123, no. 2 (2000): 330–42. http://dx.doi.org/10.1115/1.1308004.

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A new numerical model for the three-dimensional contact analysis of a layered elastic–perfectly plastic half space with another rough surface is presented. The model is based on a variational principle in which the real area of contact and contact pressure distribution are those which minimize the total complementary potential energy. A quasi-Newton method is used to find the minimum. The influence coefficients matrix is determined using the Papkovich–Neuber potentials with fast Fourier transformation. The model is extended to elastic–perfectly plastic contacts in dry and wet conditions. Conta

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Mudrák, József. "Neuber Ede Bőrgyógyászprofesszor, a debreceni m. kir. Tisza István Tudományegyetem 1931/32. Tanévi Rector Magnificusa." Gerundium 8, no. 3 (2018): 23–33. http://dx.doi.org/10.29116/gerundium/2017/3/2.

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Knop, M. "On the Glinka and Neuber methods for calculating notch tip strains under cyclic load spectra." International Journal of Fatigue 22, no. 9 (2000): 743–55. http://dx.doi.org/10.1016/s0142-1123(00)00061-x.

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