Variational formulation of irreversible thermodynamics of surfaces and interfaces with grain-boundary triple-junction singularities under the capillary and electromigration forces in anisotropic two-dimensional space

2006 ◽  
Vol 73 (23) ◽  
Author(s):  
Tarik Omer Ogurtani
Keyword(s):  
Grain Boundary ◽  
Triple Junction ◽  
Variational Formulation ◽  
Dimensional Space ◽  
Irreversible Thermodynamics ◽  
Two Dimensional ◽  
Surfaces And Interfaces ◽  
Boundary Triple

Stabilizing nanostructured materials by coherent nanotwins and their grain boundary triple junction drag

2009 ◽  
Vol 94 (2) ◽  
pp. 021910 ◽  
Author(s):  
C. Saldana ◽  
T. G. Murthy ◽  
M. R. Shankar ◽  
E. A. Stach ◽  
S. Chandrasekar
Keyword(s):  
Grain Boundary ◽  
Nanostructured Materials ◽  
Triple Junction ◽  
Boundary Triple

scholarly journals 910 Atomistic study of plastic deformation near a grain boundary triple junction

2011 ◽  
Vol 2011.48 (0) ◽  
pp. 305-306
Author(s):  
Noriaki TAKAHASHI ◽  
Tomotsugu SHIMOKAWA ◽  
Toshiyasu KINARI ◽  
Lina WAKAKO
Keyword(s):  
Plastic Deformation ◽  
Grain Boundary ◽  
Triple Junction ◽  
Boundary Triple ◽  
Atomistic Study

scholarly journals Equilibrium of Two-Dimensional Cycloidal Pantographic Metamaterials in Three-Dimensional Deformations

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1523 ◽  
Author(s):  
Daria Scerrato ◽  
Ivan Giorgio
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Variational Formulation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Element Analysis ◽  
Elastic Continuum ◽  
Bias Extension ◽  
Three Dimensional Space

A particular pantographic sheet, modeled as a two-dimensional elastic continuum consisting of an orthogonal lattice of continuously distributed fibers with a cycloidal texture, is introduced and investigated. These fibers conceived as embedded beams on the surface are allowed to be deformed in a three-dimensional space and are endowed with resistance to stretching, shearing, bending, and twisting. A finite element analysis directly derived from a variational formulation was performed for some explanatory tests to illustrate the behavior of the newly introduced material. Specifically, we considered tests on: (1) bias extension; (2) compressive; (3) shear; and (4) torsion. The numerical results are discussed to some extent. Finally, attention is drawn to a comparison with other kinds of orthogonal lattices, namely straight, parabolic, and oscillatory, to show the differences in the behavior of the samples due to the diverse arrangements of the fibers.

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