Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aliabadi, M.H., Brebbia, C.A.: Advances in Boundary Element Methods for Fracture Mechanics. Computational Mechanics Publ., Southampton, Boston; Elsevier, London-New York (1993).
Atkinson, C., Leppington, F.G.: The effect of couple stresses on the tip of a crack. Internat. J. Solids Structures, 13, 1103–1122 (1977).
Bouyge, F., Jasiuk, I., Ostoja-Starzewski, M.: A micromechanically based couple-stress model of an elastic two-phase composite. Internat. J. Solids Structures, 38, 1721–1735 (2001).
Brebbia, C.A.: The Boundary Element Method for Engineers. Pentech Press, London (1978).
Chudinovich, I., Constanda, C.: Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation. Chapman & Hall/CRC, Boca Raton-London-New York-Washington, DC (2000).
Eringen, A.C.: Linear theory of micropolar elasticity. J. Math. Mech., 15, 909–923 (1966).
Gaul, L., Kögl, M., Wagner, M.: Boundary Element Methods for Engineers and Scientists. Springer, Berlin-Heidelberg-New York (2003).
Jasiuk, I., Ostoja-Starzewski, M.: Modeling of bone at a single lamella level. Biomech. Model. Mechanobiology, 3, 67–74 (2004).
Lakes, R.: Dynamical study of couple stress effects in human compact bone. J. Biomedical Engng., 104, 6–11 (1982).
Lakes, R.: Experimental methods for study of Cosserat elastic solids and other generalized elastic continua. In: Muhlhaus, H-B. (ed.), Continuum Models for Materials with Microstructure. Wiley, New York (1995), pp.1–22.
Lakes, R., Nakamura, S., Behiri, J., Bonfield, W.: Fracture mechanics of bone with short cracks. J. Biomech., 23, 967–975 (1990).
Mühlhaus, H.-B., Pasternak, E.: Path independent integrals for Cosserat continua and application to crack problems. Internat. J. Fracture, 113, 21–26 (2002).
Nakamura, S., Lakes, R.: Finite element analysis of stress concentration around a blunt crack in a Cosserat elastic solid. Comput. Methods Appl. Mech. Engng., 66, 257–266 (1988).
Park, H., Lakes, R.: Cosserat micromechanics of human bone: strain redistribution by a hydration sensitive constituent. J. Biomechanics, 19, 385–397 (1986).
Potapenko, S., Schiavone, P., Mioduchowski, A.: Generalized Fourier series solution of torsion of an elliptic beam with microstructure. Appl. Math. Lett., 17, 189–192 (2004).
Schiavone, P.: Integral equation methods in plane asymmetric elasticity. J. Elasticity, 43, 31–43 (1996).
Shmoylova, E., Potapenko, S., Rothenburg, L.: Weak solutions of the interior boundary value problems of plane Cosserat elasticity. Z. Angew. Math. Phys., 57, 506–522 (2006).
Shmoylova, E., Potapenko, S., Rothenburg, L.: Weak solutions of the exterior boundary value problems of plane Cosserat elasticity. J. Integral Equations Appl. (in press).
Shmoylova, E., Potapenko, S., Rothenburg, L.: Stress distribution around a crack in plane micropolar elasticity. J. Elasticity (in press).
Sneddon, I.: Crack Problems in the Classical Theory of Elasticity. Wiley, New York (1969).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Birkhäuser Boston
About this chapter
Cite this chapter
Shmoylova, E., Potapenko, S., Rothenburg, L. (2008). Integral Representation for the Solution of a Crack Problem Under Stretching Pressure in Plane Asymmetric Elasticity. In: Constanda, C., Potapenko, S. (eds) Integral Methods in Science and Engineering. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4671-4_28
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4671-4_28
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4670-7
Online ISBN: 978-0-8176-4671-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)