Isogeometric analysis of 2D gradient elasticity
By Paul F. Fischer, Markus Klassen, Julia Mergheim, Paul Steinmann, Ralf Müller. 2011
151 citations recorded by the source corpus.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/e43410b7f5883799960b96641c1223a830730f4d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Materials Chemistry
- Jarkko Niiranen
- Timon Rabczuk
- Nicola Rizzi
- Emilio Turco
- V. Balobanov
- Sergei Khakalo
- Josef Kiendl
- Alessandro Reali
In Mechanics of Materials
- Timon Rabczuk
- Stéphane P.A. Bordas
- Vinh Phu Nguyen
- Cosmin Anitescu
- Hung Nguyen-Xuan
- Jarkko Niiranen
- Emilio Turco
- Josef Kiendl
Citations in the corpus
- Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates (2017, background): “Finally, we note that the current gradient-elastic Kirchhoff plate model – as the corresponding bar and plane stress/strain models studied in [44,48] – includes parameter-dependent boundary layers which will be illustrated and analyzed by the current numerical approach as well.”
- Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems (2016, methodology): “More recently, [16] has benchmarked static plane gradient elasticity problems by Cp−1-continuous isogeometric discretizations, with p ≥ 2 referring to the order of NURBS basis functions.”
- Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis (2017, methodology): “To solve the problem in a more e � cient way, ad hoc codes can be implemented by using an isogeometric formulation [45–47] or discrete Hencky-type systems based on the geometry of the microstructure as done in [48–50].”
- Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “In addition, due to the ease of constructing high order continuous basis functions, IGA has been used with great success in solving PDEs that incorporate fourth order (or higher) derivatives of the field variable such as the Hill-Cahnard equation [52], explicit gradient damage models [142] and gradi”