Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems

By Jarkko Niiranen, Sergei Khakalo, V. Balobanov, Antti H. Niemi. 2016

109 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b96d7d0837f19840ba9e1f33ab56af3aa2c1ff7c

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

1. Jarkko Niiranen
2. V. Balobanov
3. Sergei Khakalo
4. Josef Kiendl
5. Alessandro Reali
6. Antti H. Niemi

In Mechanics of Materials

1. Jarkko Niiranen
2. Josef Kiendl
3. V. Balobanov
4. Sergei Khakalo
5. Alessandro Reali
6. Antti H. Niemi
7. Thomas J. R. Hughes

Citations in the corpus

• Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics (2018, methodology): “Regarding numerical methods and numerical analysis for the models of generalized continuum mechanics, literature is limited as well, although there are some successful endeavours including rigorous studies on solvability and convergence (for recent overviews and examples, see [40, 41, 25, 42, 26, 43”
• Isogeometric analysis for sixth-order boundary value problems of gradient-elastic Kirchhoff plates (2017, background): “6), stemming from the three-dimensional continuum theory, can be neglected by assuming that g ≪ t (see the discussion in Remark 2 of [48], the discussion and examples in [30] and Remark 2 addressing the implications for the governing equation).”