Matches in SemOpenAlex for { <https://semopenalex.org/work/W2901473753> ?p ?o ?g. }
- W2901473753 endingPage "1017" @default.
- W2901473753 startingPage "991" @default.
- W2901473753 abstract "Summary In a series of previous works, we established a novel approach to topology optimization for compliance minimization based on thermodynamic principles known from the field of material modeling. Hamilton's principle for dissipative processes directly yields a partial differential equation (referred to as the evolution equation) as an update scheme for the spatial distribution of density mass describing the topology. Consequently, no additional mathematical minimization algorithms are needed. In this article, we introduce a regularization scheme by penalization of the gradient of the spatial distribution of mass density. The parabolic evolution equation (owing to a similar structure to the transient heat‐conduction equation) is solved most efficiently by an explicit time discretization. The Laplace operator is discretized via a Taylor series expansion yielding an operator matrix that is constant for the entire optimization process. This method shares some similarities to meshless methods and allows for an accurate application also on unstructured finite element meshes. The minimal size of the structure member can directly be controlled, a priori, by a numerical parameter introduced along with the regularization, similar to classical filter radii." @default.
- W2901473753 created "2018-11-29" @default.
- W2901473753 creator A5059370807 @default.
- W2901473753 creator A5079128591 @default.
- W2901473753 creator A5088591370 @default.
- W2901473753 date "2018-12-04" @default.
- W2901473753 modified "2023-10-10" @default.
- W2901473753 title "An accurate and fast regularization approach to thermodynamic topology optimization" @default.
- W2901473753 cites W1971350530 @default.
- W2901473753 cites W1975383645 @default.
- W2901473753 cites W1984740884 @default.
- W2901473753 cites W1984948645 @default.
- W2901473753 cites W1993413845 @default.
- W2901473753 cites W2002116790 @default.
- W2901473753 cites W2005703693 @default.
- W2901473753 cites W2009675612 @default.
- W2901473753 cites W2020003164 @default.
- W2901473753 cites W2022816471 @default.
- W2901473753 cites W2024127739 @default.
- W2901473753 cites W2024978924 @default.
- W2901473753 cites W2026541920 @default.
- W2901473753 cites W2048797084 @default.
- W2901473753 cites W2069697210 @default.
- W2901473753 cites W2082352282 @default.
- W2901473753 cites W2093505064 @default.
- W2901473753 cites W2104661581 @default.
- W2901473753 cites W2110696842 @default.
- W2901473753 cites W2126092109 @default.
- W2901473753 cites W2127963703 @default.
- W2901473753 cites W2128158598 @default.
- W2901473753 cites W2132034927 @default.
- W2901473753 cites W2137726847 @default.
- W2901473753 cites W2141377530 @default.
- W2901473753 cites W2145995141 @default.
- W2901473753 cites W2158783554 @default.
- W2901473753 cites W2158862486 @default.
- W2901473753 cites W2220999736 @default.
- W2901473753 cites W2296045921 @default.
- W2901473753 cites W2301296902 @default.
- W2901473753 cites W2339603787 @default.
- W2901473753 cites W2469559096 @default.
- W2901473753 cites W2486402534 @default.
- W2901473753 cites W2528661791 @default.
- W2901473753 cites W2550167017 @default.
- W2901473753 cites W2629988455 @default.
- W2901473753 cites W2746167396 @default.
- W2901473753 cites W2755886725 @default.
- W2901473753 cites W2767673860 @default.
- W2901473753 cites W382902195 @default.
- W2901473753 cites W4244360209 @default.
- W2901473753 cites W605486176 @default.
- W2901473753 doi "https://doi.org/10.1002/nme.5988" @default.
- W2901473753 hasPublicationYear "2018" @default.
- W2901473753 type Work @default.
- W2901473753 sameAs 2901473753 @default.
- W2901473753 citedByCount "20" @default.
- W2901473753 countsByYear W29014737532019 @default.
- W2901473753 countsByYear W29014737532020 @default.
- W2901473753 countsByYear W29014737532021 @default.
- W2901473753 countsByYear W29014737532022 @default.
- W2901473753 countsByYear W29014737532023 @default.
- W2901473753 crossrefType "journal-article" @default.
- W2901473753 hasAuthorship W2901473753A5059370807 @default.
- W2901473753 hasAuthorship W2901473753A5079128591 @default.
- W2901473753 hasAuthorship W2901473753A5088591370 @default.
- W2901473753 hasConcept C114614502 @default.
- W2901473753 hasConcept C121332964 @default.
- W2901473753 hasConcept C126255220 @default.
- W2901473753 hasConcept C134306372 @default.
- W2901473753 hasConcept C135628077 @default.
- W2901473753 hasConcept C154945302 @default.
- W2901473753 hasConcept C184720557 @default.
- W2901473753 hasConcept C189216461 @default.
- W2901473753 hasConcept C202787564 @default.
- W2901473753 hasConcept C2776135515 @default.
- W2901473753 hasConcept C28826006 @default.
- W2901473753 hasConcept C33923547 @default.
- W2901473753 hasConcept C41008148 @default.
- W2901473753 hasConcept C62520636 @default.
- W2901473753 hasConcept C73000952 @default.
- W2901473753 hasConcept C93779851 @default.
- W2901473753 hasConcept C97355855 @default.
- W2901473753 hasConcept C99692599 @default.
- W2901473753 hasConceptScore W2901473753C114614502 @default.
- W2901473753 hasConceptScore W2901473753C121332964 @default.
- W2901473753 hasConceptScore W2901473753C126255220 @default.
- W2901473753 hasConceptScore W2901473753C134306372 @default.
- W2901473753 hasConceptScore W2901473753C135628077 @default.
- W2901473753 hasConceptScore W2901473753C154945302 @default.
- W2901473753 hasConceptScore W2901473753C184720557 @default.
- W2901473753 hasConceptScore W2901473753C189216461 @default.
- W2901473753 hasConceptScore W2901473753C202787564 @default.
- W2901473753 hasConceptScore W2901473753C2776135515 @default.
- W2901473753 hasConceptScore W2901473753C28826006 @default.
- W2901473753 hasConceptScore W2901473753C33923547 @default.
- W2901473753 hasConceptScore W2901473753C41008148 @default.
- W2901473753 hasConceptScore W2901473753C62520636 @default.
- W2901473753 hasConceptScore W2901473753C73000952 @default.