The energy approach for prediction of the behaviour of the notched specimens and components

• Autorzy: Buczynski A. , Glinka G. , Baum Ch.
• Języki publikacji: EN

Abstrakty

EN

The stress-strain behaviour in the notch tip of elastic-plastic bodies is discussed in the presentation. The approach is based on the incremental formulation which relates hypothetical elastic energy density to elastic-plastic energy density at the notch root. The Mróz-Garud multisurface cyclic plasticity theory is employed for simulation of the material response due to the current load increments. The equations of the energy density balance in the notch root together with constitutive relations formulate a set of algebraic equations. The fictitious elastic load history at the notch root and the material constitutive relations provide the parameters, so that the set of equations can be easily solved for the stress and strain increments. A shaft with a circumferential notch subjected to random load events is addressed to as an example of a component specified to predict the material stress-strain behaviour. The calculation results, obtained for general non-proportional load paths, are compared to the corresponding finite element data.

Słowa kluczowe

EN

elasto-plastic material

PL

materiał sprężysto-plastyczny

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Mechanika / Politechnika Opolska
• Rocznik: 2002
• Tom: z. 73
• Strony: 27--45
• Opis fizyczny: Bibliogr. 11 poz., rys., wykr.

Twórcy

autor

Buczynski A.

autor

Glinka G.

autor

Baum Ch.

• University of Duisburg, Germany; University of Waterloo, Canada

Bibliografia

• [l] NEUBER H., Theory of Stress Concentration of Shear Strained Prismatic Bodies with Arbitrary Non Linear Stress-Strain Law, ASME Journal of Applied Mechanics, Vol. 28,1961, pp. 544-550
• [2] MOLSKI K., GLINKA G., A Method of ElasticPlastic Stress and Strain Calculation at a Notch Root, Materia! Science and 1981, pp. 93-100 Engineering, Vol. 50,
• [3] MOFTAKHAR A., BUCZYNSKI A., GLINKA G., Calculation of ElastoPlastic Strains and Stresses in Notches under Multiaxial Loading, International Journal of Fracture, Vol. 70, 1995, pp. 357-373
• [4] SINGH M.N.K., Notch Tip Stress-Strain Analysis in Bodies Subjected to Non-Proportional Cyclic Loads, Ph.D. Dissertation, Dept. Mech. Eng., University of Waterloo, Ontario, Canada, 1998
• [5] SEEGER T., HOFFMANN M., The Use of Hencky's Equations for the Estimation of Multiaxial Elastic-Plastic Notch Stresses and Strains" Report No. FB-3/1986, Technische Hochschule Darmstadt, Darmstadt, 1986
• [6] BARKEY M.E., SOCIE D.F., HSIA KJ., A Yield Surface Approach to the Estimation of Notch Strains for Proportional and Non-proportional Cyclic Loading, ASME Journal of Engineering Materials and Technology, Vol. 116, 1994, pp. 173-180
• [7] MOFTAKBAR A., Calculation of Time Independent and Time-Dependent Strains and Stresses in Notches, Ph, D. Dissertation, University of Waterloo, Ontario, Canada, 1994
• [8] CHU, C.C., Incremental Multiaxial Neuber Correction for Fatigue Analysis, International Congress and Exposition, Detroit, 1995, SAE Technical Paper No.950705, Warrendale, 1995
• [9] MRÓZ Z., On the Description of Anisotropic Workhardening, Journal of Mechanics and Physics of Solids, Vol. 15, 1967, pp. 163-175
• [10] GARUD Y.S., A New Approach to the Evaluation of Fatigue under Multiaxial Loading, Journal of Engineering Materials and Technology, ASME, Vol. 103, 1981, pp. 118-125
• [11] BARKEY M.E., Calculation of Notch Strains under Multiaxial Nominal Loading, Ph. D. Dissertation, Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, 1993