Abstract
Three examples of equilibrium problems are presented where concentrated contact interactions arise to guarantee partwise equilibrium. In the first example, a concentrated force is applied at the boundary of a half plane, and the stress field has an integrable singularity at the point where the force is applied. Suturing two such stress fields so as to have a mirror-symmetric stress field in the whole plane produces a second example of concentrated contact interactions. For a third example, a concentrated couple is applied at the boundary of a half plane, and the standard stress field has a nonintegrable singularity at the point where the couple is applied, whereas the associated hyperstress field, although still singular, is integrable.
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© 2006 Birkhäuser Verlag Basel/Switzerland
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Podio-Guidugli, P. (2006). On Concentrated Contact Interactions. In: dal Maso, G., DeSimone, A., Tomarelli, F. (eds) Variational Problems in Materials Science. Progress in Nonlinear Differential Equations and Their Applications, vol 68. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7565-5_10
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DOI: https://doi.org/10.1007/3-7643-7565-5_10
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