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Acta materialia, ISSN 1359-6454, 06/2014, Volume 71, pp. 333 - 348
We present a physics-based constitutive model of dislocation glide in metals that explicitly accounts for the redistribution of dislocations due to their... 
Crystal plasticity | Microstructure | Indentation | Geometrically necessary dislocations | Dislocations | Materials Science | Technology | Materials Science, Multidisciplinary | Metallurgy & Metallurgical Engineering | Science & Technology | Analysis | Nickel | Dislocation density | Single crystals | Mathematical analysis | Slip | Evolution | Mathematical models
Journal Article
Taiwanese journal of mathematics, ISSN 1027-5487, 6/2016, Volume 20, Issue 3, pp. 523 - 543
We study the existence of simple ( , λ) BIBDs when the number of elements is a prime power and { , } ⋂ {1, 2... 
Integers | Equivalence relation | Prime numbers | Necessary conditions | Existence theorems | Finite field | Generating block | Balanced incomplete block design | Physical Sciences | Mathematics | Science & Technology
Journal Article
by Ma, A and Roters, F and Raabe, D
International journal of solids and structures, ISSN 0020-7683, 2006, Volume 43, Issue 24, pp. 7287 - 7303
A dislocation density based constitutive model for the face centered cubic crystal structure has been implemented into a crystal-plasticity finite element framework and extended to consider... 
Constitutive equation | Geometrically necessary dislocation density | Slip system | Fcc | Size effect | Statistically stored dislocation density | Crystal-plasticity FEM | Internal variables | Finite element method | Structure | Analysis | Crystals
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2008, Volume 156, Issue 11, pp. 1988 - 1993
All sufficient (as well as necessary) conditions for a binary relation on a metric space to admit a maximal element on every nonempty compact subset... 
Potential game | Maximal element | Necessary and sufficient condition | Binary relation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Annals of mathematics, ISSN 0003-486X, 5/2014, Volume 179, Issue 3, pp. 1009 - 1040
The aim of this article is to define and study a new invariant of elements of loop groups that is invariant under σ... 
Morphisms | Algebra | Mathematical theorems | Group structure | Necessary conditions | Truncation | Polygons | Arithmetic | Induction assumption | Physical Sciences | Mathematics | Science & Technology
Journal Article
International journal for numerical methods in engineering, ISSN 0029-5981, 04/2017, Volume 110, Issue 4, pp. 303 - 332
Journal Article
by Ma, A and Roters, F and Raabe, D
Acta materialia, ISSN 1359-6454, 05/2006, Volume 54, Issue 8, pp. 2169 - 2179
Journal Article
Biometals, ISSN 0966-0844, 2/2016, Volume 29, Issue 1, pp. 81 - 93
Journal Article
International journal of plasticity, ISSN 0749-6419, 10/2018, Volume 109, pp. 54 - 78
A recently developed gradient-enhanced crystal-plasticity model is applied to predict the size effects in wedge indentation. In the model, the internal length... 
Finite-element method | Crystal plasticity | Indentation size effect | Gradient plasticity | Geometrically necessary dislocations | Engineering | Materials Science | Technology | Materials Science, Multidisciplinary | Mechanics | Engineering, Mechanical | Science & Technology | Models | Hardness | Anisotropy | Analysis
Journal Article