journal article·1995-12

Boundary integral equations for inverse problems in the elasticity theory

A. A. Schwab

Journal of Elasticity· Volume 41· Issue 3
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Abstract

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Research context

OpenAlex topics: Numerical methods in inverse problems · Composite Material Mechanics · Advanced Mathematical Modeling in Engineering

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References (15)

Show source-provided references
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2. A.A. Schwab, Noncorrect static problems in the elasticity theory.Izv. An. SSSR, Mekhanika Tverdogo Tela 6 (1989) 98–105.
3. A.A. Schwab, The problem of computer tomography based on the holographic interferometry for defectoscopy of elastic bodies. In Sb. “Issledovanie uslovno korrektnosti zadach matematich. phiziki.” Inst. Mathemat., Novosibirsk (1989) 163–170.
4. G. Zhanjun and T. Mura, On the inversion of residual stresses from surface displacements.ASME, Int. J. 56 (1989) 508–513.
5. Shiro Kubo, Inverse problems related to the mechanics and fracture of solids and structures.ISME Int. J., Ser. 1, vol 31,2 (1988) 148–143.
6. Th. Kreis and W. Juptner, Bestimmung von Bauteilfehlern durch ein Kombiniertes Verfahren von holografischer Interferometrie und Finite-Elemente Methode.VDI, Ber.631 (1987) 139–151.
7. Xiaogang Zeng and Sunil Saigal, An inverse formulation with boundary elements.ASME J. of Applied Mechanics 55 (1992) 835–840.10.1115/1.2894050 ↗
8. M.M. Lavrentyev, On some noncorrect problems of mathematical physics. Novosibirsk, SO AN SSSR (1962) 92.
9. V.N. Strahov, On stable methods for solving linear problems in geophysics.Izv. An SSSR, Fizika Zemli 8 (1990) 37–64.
10. A.A. Schwab, Nonclassical problems of deformed solid body. Symposium “Verformung und Bruch”. Magdeburg, Germany, Teil II (1988) 43.
11. A.A. Schwab, On a problem of local continuation. Sb.Dinamika sploshnoisredy 92 Inst. Hydrod. Novosibirsk, (1989) 132–141.
12. R. Fueter, Uber die analitishen. Darstellungender regular en Functionen einer Quaternionen variable.Comm. Mathem. helv., vol4, (1932) 9–20.10.1007/BF01202702 ↗
13. Gr.C. Moisil and N. Theodoresco, Fonetions holomorphes dans l'espase-Mathematika, (1931) 141–153.
14. A.V. Bitsadze, Foundations of the theory of analytical functions for complex variable, Moscow, Nauka, (1984) 320.
15. E. Almansi, Un theorema sulle deformation elastishe dei Solid isotropi.Rend. R. Accad. Lincei, 5 ser. XVI (1907), 865–868.