The influence of general surface loading on penetration of a circular punch into an elastic stratum

• Autorzy: Rogowski B. , Zaręba D.
• Języki publikacji: EN

Abstrakty

EN

The first of the authors (B.R.) derived an expression for the pressure distribution inside a circular region with vanishing shear tractions and normal displacements, due to the application of the forces distributed along the circumference on an elastic transversely isotropic half-space. This results is used to derive the relationships between the forces, moments and indentations for a punch acting on an elastic half-space. The results are given in terms of elementary functionss, The influence of an annular punch encircling a central punch is considered. The stress intensity factor of Mode I related to non-symmetric stress distribution in the vicinity of ann external crack under general surface loading, symmetric with respect to the crack plane, is also presented in terms of elementary functions.

Słowa kluczowe

EN

surface loading; elastic half-space; elasticity theory

PL

obciążenie jednostkowe powierzchni; półprzestrzeń; teoria elastyczności

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 1998
• Tom: Vol. 46, iss. 2
• Strony: 205--215
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Rogowski B.

autor

Zaręba D.

• Łódź University of Technology [Politechnika Łódzka], 90-924 Łódź, ul. ks. I. Skorupki 6/8

Bibliografia

• 1. L.A. GALIN, Contact problems in the theory of elasticity [in Russian], Gostekhizdat, Moscow 1953; English translation: I.N. SNEDDON [Ed.], North Carolina State College, Department of Mathematics, Raleigh N.C., p. 169, 1961.
• 2. 2. G.M.L. GLADWELL, V.I. FABRIKANT, The interaction between a system of circular punches on an elastic half-space, J. Appl. Mech., 104, 341-344, 1982.
• 3. 3. B. ROGOWSKI, Fundamental solutions related to the stress intensity factors of Modes I, II and III. The axially-symmetric problem, J. Theor. and Appl. Mech., 1, 32, 273-289, 1994.
• 4. 4. B. ROGOWSKI, Fundamental solutions related to the stress intensity factors of Modes I, II and III. The asymmetric problem, J. Theor. and Appl. Mech., 4, 32, 803-827, 1994.
• 5. 5. B. ROGOWSKI, Inclusion, punch and crack problems in an elastically supported transversely isotropic layer, Solid Mech. Arch., 11, 2, Oxford University Press, pp. 65-102, Oxford 1986.
• 6. 6. M. LOWENGRUB and I.N. SNEDDON, The distribution of stress in the vicinity of an external crack in an infinite elastic solid, Int. J. Enging. Sci., 3, 451-460, 1965.
• 7. 7. K.S. PARIHAR and J.V.S. KRISHNA RAO, Axisymmetric stress distribution in the vicinity of an external crack under general surface loadings, Int. J. Solids Structures, 30, 18, 2567-2586, 1993.