Matches in SemOpenAlex for { <https://semopenalex.org/work/W3105151462> ?p ?o ?g. }
Showing items 1 to 52 of
52
with 100 items per page.
- W3105151462 abstract "It was shown in Chapter 12 that the Stroh formalism can be extended to elastodynamics when the problem is a steady state motion. In this chapter we will see several areas where the Stroh formalism can be generalized. First, the formalism is extended to a group of general boundary conditions that include as special cases the boundary conditions for a traction-free, a rigid, and a slippery surface. Explicit solutions are obtained for the Green's function and the image force in a half-space with a slippery boundary surface subjected to a line dislocation in the half-space. The Stroh formalism is then extended to thermo-anisotropic elasticity where we point out that applications to the interfacial crack may lead to a new and higher order stress singularity. Generalization of the formalism to piezoelectric materials results in an octet formalism for which there are four pairs of complex eigenvalues. Extensions of the Stroh formalism to three-dimensional deformations of anisotropic body require a special attention and are investigated in the next chapter. The Stroh formalism is in terms of the displacement u and the stress function ϕ, both 3-vectors. It is therefore most suitable for boundary conditions that are in terms of the displacement or the surface traction. For a slippery surface the normal component of the displacement and the two tangential components of the surface traction vanish. The boundary conditions are not in terms of u or ϕ, but a mixture of one component from u and two components from ϕ. This destroys the elegant sextic formalism of Stroh. We present here a generalized formalism that is applicable to a class of general boundary conditions. They include as special cases the boundary conditions for a traction-free, a rigid, and a slippery surface. The material presented below is taken from Ting and Wang (1992)." @default.
- W3105151462 created "2020-11-23" @default.
- W3105151462 creator A5084281098 @default.
- W3105151462 date "1996-04-25" @default.
- W3105151462 modified "2023-10-14" @default.
- W3105151462 title "Generalization of the Stroh Formalism" @default.
- W3105151462 doi "https://doi.org/10.1093/oso/9780195074475.003.0017" @default.
- W3105151462 hasPublicationYear "1996" @default.
- W3105151462 type Work @default.
- W3105151462 sameAs 3105151462 @default.
- W3105151462 citedByCount "0" @default.
- W3105151462 crossrefType "book-chapter" @default.
- W3105151462 hasAuthorship W3105151462A5084281098 @default.
- W3105151462 hasConcept C121332964 @default.
- W3105151462 hasConcept C12843 @default.
- W3105151462 hasConcept C134306372 @default.
- W3105151462 hasConcept C142362112 @default.
- W3105151462 hasConcept C153349607 @default.
- W3105151462 hasConcept C16171025 @default.
- W3105151462 hasConcept C182310444 @default.
- W3105151462 hasConcept C33923547 @default.
- W3105151462 hasConcept C558565934 @default.
- W3105151462 hasConcept C73301696 @default.
- W3105151462 hasConcept C74650414 @default.
- W3105151462 hasConceptScore W3105151462C121332964 @default.
- W3105151462 hasConceptScore W3105151462C12843 @default.
- W3105151462 hasConceptScore W3105151462C134306372 @default.
- W3105151462 hasConceptScore W3105151462C142362112 @default.
- W3105151462 hasConceptScore W3105151462C153349607 @default.
- W3105151462 hasConceptScore W3105151462C16171025 @default.
- W3105151462 hasConceptScore W3105151462C182310444 @default.
- W3105151462 hasConceptScore W3105151462C33923547 @default.
- W3105151462 hasConceptScore W3105151462C558565934 @default.
- W3105151462 hasConceptScore W3105151462C73301696 @default.
- W3105151462 hasConceptScore W3105151462C74650414 @default.
- W3105151462 hasLocation W31051514621 @default.
- W3105151462 hasOpenAccess W3105151462 @default.
- W3105151462 hasPrimaryLocation W31051514621 @default.
- W3105151462 hasRelatedWork W19114459 @default.
- W3105151462 hasRelatedWork W2097144 @default.
- W3105151462 hasRelatedWork W2117925 @default.
- W3105151462 hasRelatedWork W32084632 @default.
- W3105151462 hasRelatedWork W36249493 @default.
- W3105151462 hasRelatedWork W38337316 @default.
- W3105151462 hasRelatedWork W40197441 @default.
- W3105151462 hasRelatedWork W40885250 @default.
- W3105151462 hasRelatedWork W4235343 @default.
- W3105151462 hasRelatedWork W75624 @default.
- W3105151462 isParatext "false" @default.
- W3105151462 isRetracted "false" @default.
- W3105151462 magId "3105151462" @default.
- W3105151462 workType "book-chapter" @default.