FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3210339780> ?p ?o ?g. }

• W3210339780 abstract "The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a simple model in which the exterior surfaces of the grains evolve by surface diffusion and the grain boundary, namely the contact surface between the adjacent grains, evolves by motion by mean curvature. For simplicity we consider an axi-symmetric two grain system, which is contained within an inert bounding semi-infinite cylinder with unit radius and which is bounded below by a planar substrate. The two grain system is assumed to have a hole along the axis of symmetry, where the substrate is exposed. Boundary conditions are imposed reflecting the considerations of W.W. Mullins, 1958. The resultant dynamic problem conserves the total volume of the two grain system and dissipates the total energy. We focus here on the steady states of this system and demonstrate that at steady state, the exterior surfaces are nodoids and the grain boundary surface is a catenoid. The physical parameters in the model can be expressed via the angles $beta$ and $theta_c$, which depend on the surface free energies. Typically if a steady state solution exists for given values of $(beta, theta_c)$, then there exists a continuum of such solutions with varying volumes and energies. In particular, we prove that there exists a continuum of solutions with $theta_c=pi$ for any $beta in (pi/2, pi)$. While many open questions remain, with regard to both the steady states and the full dynamic problem, our study already provides insight into the possible steady states and their structure. In particular, the relative volumes and heights of the inner and outer grain can be seen to be roughly in accordance with experimental predictions, for realistic values of the physical parameters." @default.
• W3210339780 created "2021-11-08" @default.
• W3210339780 creator A5033820489 @default.
• W3210339780 creator A5047064464 @default.
• W3210339780 creator A5067012213 @default.
• W3210339780 date "2021-10-28" @default.
• W3210339780 modified "2023-10-03" @default.
• W3210339780 title "Coupled Surface Diffusion and Mean Curvature Motion: Axisymmetric Steady States with Two Grains and a Hole" @default.
• W3210339780 cites W1495758723 @default.
• W3210339780 cites W1509036392 @default.
• W3210339780 cites W1537530172 @default.
• W3210339780 cites W1539990887 @default.
• W3210339780 cites W1964707967 @default.
• W3210339780 cites W1973143751 @default.
• W3210339780 cites W1990913853 @default.
• W3210339780 cites W2002129158 @default.
• W3210339780 cites W2013866230 @default.
• W3210339780 cites W2017334281 @default.
• W3210339780 cites W2021350139 @default.
• W3210339780 cites W2024233310 @default.
• W3210339780 cites W2025245542 @default.
• W3210339780 cites W2029725284 @default.
• W3210339780 cites W2058335934 @default.
• W3210339780 cites W2067557101 @default.
• W3210339780 cites W2080523391 @default.
• W3210339780 cites W2090013860 @default.
• W3210339780 cites W2093315677 @default.
• W3210339780 cites W2094748339 @default.
• W3210339780 cites W2139378461 @default.
• W3210339780 cites W2166223984 @default.
• W3210339780 cites W2492922843 @default.
• W3210339780 cites W2508568983 @default.
• W3210339780 cites W2518511679 @default.
• W3210339780 cites W2552554138 @default.
• W3210339780 cites W2579829298 @default.
• W3210339780 cites W2598222911 @default.
• W3210339780 cites W2741940625 @default.
• W3210339780 cites W2766606478 @default.
• W3210339780 cites W2962866014 @default.
• W3210339780 cites W3099386575 @default.
• W3210339780 cites W3108273286 @default.
• W3210339780 hasPublicationYear "2021" @default.
• W3210339780 type Work @default.
• W3210339780 sameAs 3210339780 @default.
• W3210339780 citedByCount "0" @default.
• W3210339780 crossrefType "posted-content" @default.
• W3210339780 hasAuthorship W3210339780A5033820489 @default.
• W3210339780 hasAuthorship W3210339780A5047064464 @default.
• W3210339780 hasAuthorship W3210339780A5067012213 @default.
• W3210339780 hasConcept C121332964 @default.
• W3210339780 hasConcept C134306372 @default.
• W3210339780 hasConcept C147789679 @default.
• W3210339780 hasConcept C150394285 @default.
• W3210339780 hasConcept C15696416 @default.
• W3210339780 hasConcept C175017881 @default.
• W3210339780 hasConcept C178790620 @default.
• W3210339780 hasConcept C185592680 @default.
• W3210339780 hasConcept C195065555 @default.
• W3210339780 hasConcept C203311528 @default.
• W3210339780 hasConcept C2524010 @default.
• W3210339780 hasConcept C2776799497 @default.
• W3210339780 hasConcept C33026886 @default.
• W3210339780 hasConcept C33923547 @default.
• W3210339780 hasConcept C34388435 @default.
• W3210339780 hasConcept C57879066 @default.
• W3210339780 hasConcept C74650414 @default.
• W3210339780 hasConcept C8171440 @default.
• W3210339780 hasConceptScore W3210339780C121332964 @default.
• W3210339780 hasConceptScore W3210339780C134306372 @default.
• W3210339780 hasConceptScore W3210339780C147789679 @default.
• W3210339780 hasConceptScore W3210339780C150394285 @default.
• W3210339780 hasConceptScore W3210339780C15696416 @default.
• W3210339780 hasConceptScore W3210339780C175017881 @default.
• W3210339780 hasConceptScore W3210339780C178790620 @default.
• W3210339780 hasConceptScore W3210339780C185592680 @default.
• W3210339780 hasConceptScore W3210339780C195065555 @default.
• W3210339780 hasConceptScore W3210339780C203311528 @default.
• W3210339780 hasConceptScore W3210339780C2524010 @default.
• W3210339780 hasConceptScore W3210339780C2776799497 @default.
• W3210339780 hasConceptScore W3210339780C33026886 @default.
• W3210339780 hasConceptScore W3210339780C33923547 @default.
• W3210339780 hasConceptScore W3210339780C34388435 @default.
• W3210339780 hasConceptScore W3210339780C57879066 @default.
• W3210339780 hasConceptScore W3210339780C74650414 @default.
• W3210339780 hasConceptScore W3210339780C8171440 @default.
• W3210339780 hasLocation W32103397801 @default.
• W3210339780 hasOpenAccess W3210339780 @default.
• W3210339780 hasPrimaryLocation W32103397801 @default.
• W3210339780 hasRelatedWork W1520849872 @default.
• W3210339780 hasRelatedWork W1604402613 @default.
• W3210339780 hasRelatedWork W1988304486 @default.
• W3210339780 hasRelatedWork W2038392376 @default.
• W3210339780 hasRelatedWork W2042393797 @default.
• W3210339780 hasRelatedWork W2042484027 @default.
• W3210339780 hasRelatedWork W2057809854 @default.
• W3210339780 hasRelatedWork W2067557101 @default.
• W3210339780 hasRelatedWork W2078393055 @default.
• W3210339780 hasRelatedWork W2084024669 @default.
• W3210339780 hasRelatedWork W2103043135 @default.
• W3210339780 hasRelatedWork W2129075500 @default.

• next