Pure bending of the orthotropic elastic rectangle

• Autorzy: Delyavsky M. , Kravchuk M. , Nagórko W. , Podhorecki A.
• Języki publikacji: EN

Abstrakty

EN

In this contribution, a new method for obtaining the solution to the linear elasticity problem is proposed. An idea of this method is based on certain special expansion of these displacement fields in finite trigonometric series with exponential coefficients. This approach leads to an equivalent problem which requires to derive the exact solution. The proposed method has a mixed analytic-numerical form and has been illustrated by the solution to the boundary value problem for a rectangular region subjected to bending by loads applied on the opposite sides of the region. The numerical results derived have been compared with solutions obtained in the framework of the Euler-Bernoulli beam theory.

Słowa kluczowe

EN

orthotropy; Eule-Bernoulli beam theory

PL

ortrotropia

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2002
• Tom: Vol.50, iss.1-2
• Strony: 55--67
• Opis fizyczny: Bibliogr. 6 poz., rys., wykr.

Twórcy

autor

Delyavsky M.

• University of Technology and Agriculture in Bydgoszcz, S. Kaliskiego str. 7, 85-796 Bydgoszcz

autor

Kravchuk M.

• Karpenko Physico-Mechanical lnstitute, Ukrainian Academy of Sciences, Naukova str. 5, 290601 Lviv

autor

Nagórko W.

• Warsaw Agricultural University, Nawaursynowska 166, 02-787 Warsaw

autor

Podhorecki A.

• University of Technology and Agriculture in Bydgoszcz, S. Kaliskiego str. 7, 85-796 Bydgoszcz

Bibliografia

• 1. G. TIMOSHENKO, N. GOODIER, Theory of elasticity, Mc Graw - Hill, New York 1934.
• 2. I.N. SNEDDON, D.S. BERRY, The classical theory of elasticity, Encyclopedia of Physics, vol. VI, Springer, Berlin 1958.
• 3. M.V. DELYAYSKY, Application of the minimum of potential energy principle in determining the stress-strain state in spatially reinforced composite materials [in Ukrainian], Physico-Chemical Mechanics of Materials, 29, 74–82, 1993.
• 4. M.V. DELYAVSKY, Calculation of the stress-strain state in orthotropic body under the bending load [in Russian], Problems of Strength, 11–12, 117–123, 1995.
• 5. W. NAGÓRKO, On approximate structures in mechanics, Arch. of Mech., 35, 443–456, 1983.
• 6. M. LEVISON, D.W. COOKE, Thick rectangular plates II. The generalized Levy solution, Int. J. Mech. Sci., 25(1983), pp. 207–215.