Advanced search
Publication Cover
Philosophical Magazine Volume 86, 2006 - Issue 25-26: Celebrating the career in crystal plasticity of F. R. N. Nabarro, FRS
Submit an article Journal homepage
262
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Dislocation pileups in the presence of stress gradients

J. P. Hirth 114 E. Ramsey Canyon Rd., Hereford, AZ 85615, USACorrespondence[email protected]
Pages 3959-3963 | Received 28 Jul 2005, Accepted 17 Oct 2005, Published online: 29 Nov 2010

Citations (22)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Hao Lyu, Nasrin Taheri-Nassaj & Hussein M. Zbib. (2016) A multiscale gradient-dependent plasticity model for size effects. Philosophical Magazine 96:18, pages 1883-1908.
Read now
X. L. Wu, P. Jiang, L. Chen, J. F. Zhang, F. P. Yuan & Y. T. Zhu. (2014) Synergetic Strengthening by Gradient Structure. Materials Research Letters 2:4, pages 185-191.
Read now
Dabiao Liu, Yuming He & Bo Zhang. (2013) Towards a further understanding of dislocation pileups in the presence of stress gradients. Philosophical Magazine 93:18, pages 2340-2362.
Read now

Articles from other publishers (19)

Hao Lyu, Yaxin Zhang, Yuan Bao & Jiahui Zhang. (2023) The Effect of Initial Texture on the Plastic Deformation of Gradient Aluminum. Materials 16:7, pages 2603.
Crossref
Xu Wang & Peter Schiavone. (2022) A three-phase anisotropic elastic elliptical inhomogeneity with internal linear stress and strain distributions. Journal of Mechanics of Materials and Structures 17:5, pages 489-501.
Crossref
Xu Wang & Peter Schiavone. (2022) An elliptical inhomogeneity under nonuniform heat flux. Mathematics and Mechanics of Solids, pages 108128652211370.
Crossref
Hao Lyu, Yaxin Zhang & Haoshuai Li. (2022) The Effect of Grain Size Gradient on Plastic Deformation of Gradient Aluminum. Metallurgical and Materials Transactions A 53:9, pages 3428-3440.
Crossref
Hao Lyu & Annie Ruimi. (2022) Understanding the Plastic Deformation of Gradient Interstitial Free (IF) Steel under Uniaxial Loading Using a Dislocation-Based Multiscale Approach. Crystals 12:7, pages 889.
Crossref
Dylan Agius, Anna Kareer, Abdullah Al Mamun, Christopher Truman, David M. Collins, Mahmoud Mostafavi & David Knowles. (2022) A crystal plasticity model that accounts for grain size effects and slip system interactions on the deformation of austenitic stainless steels. International Journal of Plasticity 152, pages 103249.
Crossref
Yuntian T. Zhu & Ruslan Z. Valiev. 2022. Comprehensive Structural Integrity. Comprehensive Structural Integrity 162 195 .
B.D. Reddy, P. Steinmann & A. Kergaßner. (2021) A thermodynamically consistent theory of stress-gradient plasticity. Journal of the Mechanics and Physics of Solids 147, pages 104266.
Crossref
Paul Steinmann, Andreas Kergaßner, Philipp Landkammer & Hussein M. Zbib. (2019) A novel continuum approach to gradient plasticity based on the complementing concepts of dislocation and disequilibrium densities. Journal of the Mechanics and Physics of Solids 132, pages 103680.
Crossref
Hussein M. Zbib, Mehdi Hamid, Hao Lyu & Ioannis Mastorakos. 2019. Mesoscale Models. Mesoscale Models 51 85 .
I.A. Ovid'ko, R.Z. Valiev & Y.T. Zhu. (2018) Review on superior strength and enhanced ductility of metallic nanomaterials. Progress in Materials Science 94, pages 462-540.
Crossref
Hao Lyu, Mehdi Hamid, Annie Ruimi & Hussein M. Zbib. (2017) Stress/strain gradient plasticity model for size effects in heterogeneous nano-microstructures. International Journal of Plasticity 97, pages 46-63.
Crossref
Hao Lyu, Annie Ruimi, David P. Field & Hussein M. Zbib. (2016) Plasticity in Materials with Heterogeneous Microstructures. Metallurgical and Materials Transactions A 47:12, pages 6608-6620.
Crossref
Nasrin Taheri-Nassaj & Hussein M. Zbib. (2015) On dislocation pileups and stress-gradient dependent plastic flow. International Journal of Plasticity 74, pages 1-16.
Crossref
Xincheng Yang, Xiaolong Ma, Jordan Moering, Hao Zhou, Wei Wang, Yulan Gong, Jingmei Tao, Yuntian Zhu & Xinkun Zhu. (2015) Influence of gradient structure volume fraction on the mechanical properties of pure copper. Materials Science and Engineering: A 645, pages 280-285.
Crossref
Dabiao Liu, Yuming He, Bo Zhang & Lei Shen. (2014) A continuum theory of stress gradient plasticity based on the dislocation pile-up model. Acta Materialia 80, pages 350-364.
Crossref
Dmitri A. Molodov & Yuri Mishin. 2013. Microstructural Design of Advanced Engineering Materials. Microstructural Design of Advanced Engineering Materials 201 233 .
S. Akarapu & J.P. Hirth. (2013) Dislocation pile-ups in stress gradients revisited. Acta Materialia 61:10, pages 3621-3629.
Crossref
Y. Mishin, M. Asta & Ju Li. (2010) Atomistic modeling of interfaces and their impact on microstructure and properties. Acta Materialia 58:4, pages 1117-1151.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.