Matches in SemOpenAlex for { <https://semopenalex.org/work/W2754997530> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2754997530 endingPage "79" @default.
- W2754997530 startingPage "60" @default.
- W2754997530 abstract "Abstract The asymptotic solutions for cracks in a linear elastic medium under plane or anti-plane state were obtained by Williams (1957) nearly sixty years ago. However, solutions for cracks in second-order elasticity are unavailable, in contrast to those based on the neo–Hookean models, e.g., Knowles (1997). This paper addresses the formulation and solution of crack problems under finite anti-plane deformation using higher-order elasticity. It is found that: (1) a combined second- and third-order elasticity is necessary to ensure that full equilibrium is satisfied, (2) the equilibrium equations are non-homogeneous partial differential equations (pde's) with variable coefficients, and (3) exact particular solutions can be obtained while the homogeneous pde's reduce to nonlinear eigenvalue problems that can be solved numerically. The results show that: (1) the displacement or stress dependence on the radial coordinate is generally a function of the elastic constants, (2) the Piola–Kirchhoff stress matrix is fully populated, with induced normal stresses, in-plane as well as out-of-plane shear stresses, (3) singular stresses at the crack tip may exist, depending on the eigenvalues, and (4) normal stresses are predicted on the crack faces, which may lead to anomalous mechanical behavior in soft biological materials." @default.
- W2754997530 created "2017-09-25" @default.
- W2754997530 creator A5004252389 @default.
- W2754997530 date "2017-12-01" @default.
- W2754997530 modified "2023-09-25" @default.
- W2754997530 title "Anti-plane crack solutions in higher-order elasticity" @default.
- W2754997530 cites W1587940648 @default.
- W2754997530 cites W1788730425 @default.
- W2754997530 cites W1981993636 @default.
- W2754997530 cites W1982144051 @default.
- W2754997530 cites W1983267718 @default.
- W2754997530 cites W2008224975 @default.
- W2754997530 cites W2009940970 @default.
- W2754997530 cites W2025560320 @default.
- W2754997530 cites W2026079770 @default.
- W2754997530 cites W2041790804 @default.
- W2754997530 cites W2045862026 @default.
- W2754997530 cites W2046060386 @default.
- W2754997530 cites W2047655099 @default.
- W2754997530 cites W2048267518 @default.
- W2754997530 cites W2052514994 @default.
- W2754997530 cites W2066256418 @default.
- W2754997530 cites W2073530001 @default.
- W2754997530 cites W2073590497 @default.
- W2754997530 cites W2074930293 @default.
- W2754997530 cites W2080695483 @default.
- W2754997530 cites W2093937615 @default.
- W2754997530 cites W2102657645 @default.
- W2754997530 cites W2132926300 @default.
- W2754997530 cites W2151135147 @default.
- W2754997530 cites W2174850771 @default.
- W2754997530 cites W2522759651 @default.
- W2754997530 cites W3100330147 @default.
- W2754997530 doi "https://doi.org/10.1016/j.ijengsci.2017.08.014" @default.
- W2754997530 hasPublicationYear "2017" @default.
- W2754997530 type Work @default.
- W2754997530 sameAs 2754997530 @default.
- W2754997530 citedByCount "4" @default.
- W2754997530 countsByYear W27549975302018 @default.
- W2754997530 countsByYear W27549975302020 @default.
- W2754997530 crossrefType "journal-article" @default.
- W2754997530 hasAuthorship W2754997530A5004252389 @default.
- W2754997530 hasConcept C121332964 @default.
- W2754997530 hasConcept C121854251 @default.
- W2754997530 hasConcept C134306372 @default.
- W2754997530 hasConcept C135628077 @default.
- W2754997530 hasConcept C158622935 @default.
- W2754997530 hasConcept C158693339 @default.
- W2754997530 hasConcept C159985019 @default.
- W2754997530 hasConcept C192562407 @default.
- W2754997530 hasConcept C29320194 @default.
- W2754997530 hasConcept C3161131 @default.
- W2754997530 hasConcept C33923547 @default.
- W2754997530 hasConcept C62520636 @default.
- W2754997530 hasConcept C93779851 @default.
- W2754997530 hasConcept C97355855 @default.
- W2754997530 hasConceptScore W2754997530C121332964 @default.
- W2754997530 hasConceptScore W2754997530C121854251 @default.
- W2754997530 hasConceptScore W2754997530C134306372 @default.
- W2754997530 hasConceptScore W2754997530C135628077 @default.
- W2754997530 hasConceptScore W2754997530C158622935 @default.
- W2754997530 hasConceptScore W2754997530C158693339 @default.
- W2754997530 hasConceptScore W2754997530C159985019 @default.
- W2754997530 hasConceptScore W2754997530C192562407 @default.
- W2754997530 hasConceptScore W2754997530C29320194 @default.
- W2754997530 hasConceptScore W2754997530C3161131 @default.
- W2754997530 hasConceptScore W2754997530C33923547 @default.
- W2754997530 hasConceptScore W2754997530C62520636 @default.
- W2754997530 hasConceptScore W2754997530C93779851 @default.
- W2754997530 hasConceptScore W2754997530C97355855 @default.
- W2754997530 hasLocation W27549975301 @default.
- W2754997530 hasOpenAccess W2754997530 @default.
- W2754997530 hasPrimaryLocation W27549975301 @default.
- W2754997530 hasRelatedWork W1959148569 @default.
- W2754997530 hasRelatedWork W1996514356 @default.
- W2754997530 hasRelatedWork W2002029700 @default.
- W2754997530 hasRelatedWork W2047056984 @default.
- W2754997530 hasRelatedWork W2075753788 @default.
- W2754997530 hasRelatedWork W2263541945 @default.
- W2754997530 hasRelatedWork W2287778887 @default.
- W2754997530 hasRelatedWork W2964077835 @default.
- W2754997530 hasRelatedWork W3214465389 @default.
- W2754997530 hasRelatedWork W2506640303 @default.
- W2754997530 hasVolume "121" @default.
- W2754997530 isParatext "false" @default.
- W2754997530 isRetracted "false" @default.
- W2754997530 magId "2754997530" @default.
- W2754997530 workType "article" @default.