FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2621388393> ?p ?o ?g. }

• W2621388393 endingPage "274" @default.
• W2621388393 startingPage "257" @default.
• W2621388393 abstract "This paper presents a recently developed, innovative minimization principle for coupled deformation-diffusion processes applied to hydrogels and compares this new structure with the classical saddle point formulation in both variational foundation and finite element implementation. First, balance equations and boundary conditions associated with dissipative fluid transport in solids undergoing large deformation are shown to be rooted in a canonical minimization formulation. This two-field principle determines the deformation rate and the fluid flux, constitutively governed by the scalar free energy and the dissipation potential functions. It can be used to derive the well-known saddle point formulation by a Legendre transformation of the dissipation potential. Next, the variational potential is transformed to its incremental counterpart by means of a discretization in time, which offers an intuitive and unconstrained discretization within the finite element method. To this end, vectorial Raviart-Thomas shape functions are chosen for flux degrees of freedom in order to fulfill the required H ( D i v , B ) conformity. The need for this ansatz space can be interpreted as a counterpart to the LBB condition that arises within the saddle point principle and is usually addressed by mixed element formulations. However, we are able to demonstrate equivalent or superior performance of the minimization principle in several representative boundary value problems. Phenomena specific to hydrogels like diffusion-induced large volume change with instability patterns in the presence of geometrical constraints are successfully modeled. The proposed variational framework can thus be validated and its significance complementary to classical approaches is underlined, with the inherent symmetry of the coupled problem as a key feature and consequence of the minimization formulation." @default.
• W2621388393 created "2017-06-09" @default.
• W2621388393 creator A5019147062 @default.
• W2621388393 creator A5027944405 @default.
• W2621388393 creator A5046689612 @default.
• W2621388393 date "2017-08-01" @default.
• W2621388393 modified "2023-10-10" @default.
• W2621388393 title "A minimization principle for deformation-diffusion processes in polymeric hydrogels: Constitutive modeling and FE implementation" @default.
• W2621388393 cites W1641583058 @default.
• W2621388393 cites W1767968145 @default.
• W2621388393 cites W1972675654 @default.
• W2621388393 cites W1973584767 @default.
• W2621388393 cites W1981891486 @default.
• W2621388393 cites W1982518801 @default.
• W2621388393 cites W1989021793 @default.
• W2621388393 cites W1994484297 @default.
• W2621388393 cites W2002899682 @default.
• W2621388393 cites W2009334008 @default.
• W2621388393 cites W2015082159 @default.
• W2621388393 cites W2015148405 @default.
• W2621388393 cites W2020220700 @default.
• W2621388393 cites W2022692965 @default.
• W2621388393 cites W2027628878 @default.
• W2621388393 cites W2044083059 @default.
• W2621388393 cites W2049914863 @default.
• W2621388393 cites W2051497316 @default.
• W2621388393 cites W2051682834 @default.
• W2621388393 cites W2052657903 @default.
• W2621388393 cites W2053482418 @default.
• W2621388393 cites W2054059695 @default.
• W2621388393 cites W2054662898 @default.
• W2621388393 cites W2061291988 @default.
• W2621388393 cites W2062002217 @default.
• W2621388393 cites W2065804894 @default.
• W2621388393 cites W2067351698 @default.
• W2621388393 cites W2068291255 @default.
• W2621388393 cites W2074755013 @default.
• W2621388393 cites W2079866179 @default.
• W2621388393 cites W2090500591 @default.
• W2621388393 cites W2090579436 @default.
• W2621388393 cites W2097532978 @default.
• W2621388393 cites W2099213797 @default.
• W2621388393 cites W2102517120 @default.
• W2621388393 cites W2107090140 @default.
• W2621388393 cites W2114207581 @default.
• W2621388393 cites W2118198487 @default.
• W2621388393 cites W2126787451 @default.
• W2621388393 cites W2132551021 @default.
• W2621388393 cites W2146909677 @default.
• W2621388393 cites W2147848529 @default.
• W2621388393 cites W2155040991 @default.
• W2621388393 cites W2168772936 @default.
• W2621388393 cites W2172016689 @default.
• W2621388393 cites W4236332821 @default.
• W2621388393 cites W4251987311 @default.
• W2621388393 cites W92757070 @default.
• W2621388393 doi "https://doi.org/10.1016/j.ijsolstr.2017.05.034" @default.
• W2621388393 hasPublicationYear "2017" @default.
• W2621388393 type Work @default.
• W2621388393 sameAs 2621388393 @default.
• W2621388393 citedByCount "20" @default.
• W2621388393 countsByYear W26213883932017 @default.
• W2621388393 countsByYear W26213883932018 @default.
• W2621388393 countsByYear W26213883932019 @default.
• W2621388393 countsByYear W26213883932020 @default.
• W2621388393 countsByYear W26213883932021 @default.
• W2621388393 countsByYear W26213883932022 @default.
• W2621388393 countsByYear W26213883932023 @default.
• W2621388393 crossrefType "journal-article" @default.
• W2621388393 hasAuthorship W2621388393A5019147062 @default.
• W2621388393 hasAuthorship W2621388393A5027944405 @default.
• W2621388393 hasAuthorship W2621388393A5046689612 @default.
• W2621388393 hasBestOaLocation W26213883931 @default.
• W2621388393 hasConcept C108586683 @default.
• W2621388393 hasConcept C121332964 @default.
• W2621388393 hasConcept C126255220 @default.
• W2621388393 hasConcept C127413603 @default.
• W2621388393 hasConcept C135628077 @default.
• W2621388393 hasConcept C147764199 @default.
• W2621388393 hasConcept C159985019 @default.
• W2621388393 hasConcept C188027245 @default.
• W2621388393 hasConcept C192562407 @default.
• W2621388393 hasConcept C202973686 @default.
• W2621388393 hasConcept C204366326 @default.
• W2621388393 hasConcept C33923547 @default.
• W2621388393 hasConcept C57879066 @default.
• W2621388393 hasConcept C66938386 @default.
• W2621388393 hasConcept C69357855 @default.
• W2621388393 hasConcept C74650414 @default.
• W2621388393 hasConcept C97355855 @default.
• W2621388393 hasConceptScore W2621388393C108586683 @default.
• W2621388393 hasConceptScore W2621388393C121332964 @default.
• W2621388393 hasConceptScore W2621388393C126255220 @default.
• W2621388393 hasConceptScore W2621388393C127413603 @default.
• W2621388393 hasConceptScore W2621388393C135628077 @default.
• W2621388393 hasConceptScore W2621388393C147764199 @default.
• W2621388393 hasConceptScore W2621388393C159985019 @default.
• W2621388393 hasConceptScore W2621388393C188027245 @default.

• next