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.
PODIO GUIDUGLI, P. (2006). On concentrated contact interactions. In Variational problems in materials science (pp.137-147). Basel : Birkhauser verlag.
On concentrated contact interactions
PODIO GUIDUGLI, PAOLO
2006-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
