Variational formulation of a modified couple stress theory and its application to a simple shear problem
304 citations recorded by the source corpus.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/f59e86615a97210639cb7299f5181dc18083db16
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In Materials Chemistry
In Mechanics of Materials
Citations in the corpus
- Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, methodology): “The MCST has been also applied to investigate the behaviours of beams with different types of theories including Bernoulli-Euler [19, 20], Timoshenko [21] and higher-orders [22, 23].”
- Bending relationships between the modified couple stress-based functionally graded Timoshenko beams and homogeneous Bernoulli–Euler beams (2012, methodology): “6 mm (see Park and Gao [12, 13]).”
- On some fundamental misunderstandings in the indeterminate couple stress model. A comment on recent papers of A.R. Hadjesfandiari and G.F. Dargush (2016, background): “This split of the boundary condition is not the one as obtained e.g. by Gao and Park [40] and seems to be entirely new in the context of the indeterminate couple stress model.”
- A non-classical Mindlin plate model based on a modified couple stress theory (2011, methodology): “The objective of the present paper is to develop a non-classical Mindlin plate model using the modified couple stress theory [13,14] and Hamilton’s principle.”
- On the truth of nanoscale for nanobeams based on nonlocal elastic stress field theory: equilibrium, governing equation and static deflection (2010, methodology): “Although developed from entirely different concept of physics, these papers [ 39-43 ] all point to a similar consequence to be concluded in this paper that any size-dependent nanoscale parameter tends to induce increased structural stiffness.”