ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Mixed virtual element formulations for incompressible and inextensible problems [Elektronski vir]
Böhm, Christoph ...
Locking effects can be a major concern during the numerical modelling of elastic materials, especially for large strains. Those effects arise from volumetric constraints such as incompressibility or ...anisotropic effects of the underlying material class. One particular solution strategy is to employ mixed formulations, which provide solutions tailored to the specific locking phenomena at hand. While being in general powerful, one drawback of such solution strategies is that the provided strategy to overcome locking is often tied or limited to some specific topological type of finite elements and thus forfeiting generality. Contrary the Virtual Element Method (VEM) benefits by definition from allowing arbitrary element shapes and number of nodes at element level. A variety of approaches for the treatment of locking phenomena for hyperelastic material is formulated in this contribution for the Virtual Element Method with a low order ansatz. Key ingredient to the implementation of multifield mixed principles in VEM is the consideration of only one constant variable per field and one corresponding Lagrange multiplier over the entire virtual element. Hereby the stabilization contribution utilizes the mixed formulation but shares the element-wise constant variable with the projection part of the virtual element. A direct consequence of this rather simple implementation strategy is the combination of powerful mixed formulations with a computational approach that is able to treat general element shapes. The proposed formulations are tested with regard to structured mesh at standard examples in computational mechanics as well as at specific computational engineering applications where also unstructured meshes are utilized.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Impact factor
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
