Projects per year
Abstract
Presented is a rigorous mathematical formulation of boundary value problems defined on discrete systems described by mathematical graphs. The formulation is applicable to mechanical and physical problems and includes an effective algebraic framework and efficient computational implementation. Me- chanical problems involving damage initiation and evolution are soled to illus- trate the proposed method. It is concluded that the graph-theoretical approach to discrete systems offers substantial benefits in terms of conceptual clarity and computational efficiency.
Original language | English |
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Title of host publication | Proceedings of the 1st International Conference on Theoretical, Applied, Experimental Mechanics |
Pages | 249-254 |
Number of pages | 5 |
DOIs | |
Publication status | Published - 17 Jun 2018 |
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Dive into the research topics of 'Analysis of materials systems represented by graphs'. Together they form a unique fingerprint.Projects
- 2 Finished
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Geometric Mechanics of Solids: new analysis of modern engineering materials - GEMS
Jivkov, A. (PI) & Margetts, L. (CoI)
1/11/16 → 31/10/21
Project: Research
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Graphene-based membranes
Budd, P. (PI), Carbone, P. (CoI), Casiraghi, C. (CoI), Grieve, B. (CoI), Haigh, S. (CoI), Holmes, S. (CoI), Jivkov, A. (CoI), Kinloch, I. (CoI), Raveendran Nair, R. (CoI), Schroeder, S. (CoI), Siperstein, F. (CoI) & Vijayaraghavan, A. (CoI)
1/07/13 → 30/06/18
Project: Research
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Boundary value problem on a weighted graph relevant to the static analysis of truss structures
Kodsi, C. & Jivkov, A., 17 Jun 2021, In: SIAM Journal of Applied Mathematics. 81, 3, p. 1190-1201 12 p.Research output: Contribution to journal › Article › peer-review
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Geometric modelling of elastic and elastic-plastic solids by separation of deformation energy and Prandtl operators
Seruga, D., Kosmas, O. & Jivkov, A., 1 Aug 2020, In: International Journal of Solids and Structures. 198, p. 136-148 13 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile342 Downloads (Pure) -
A mathematical model for elasticity using calculus on discrete manifolds
Dassios, I., O'Keeffe, G. & Jivkov, A., 1 Dec 2018, In: Mathematical Methods in the Applied Sciences. 41, 18, p. 9057-9070 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile135 Downloads (Pure)
Activities
- 1 Invited talk
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Analysis of materials systems represented by graphs
Jivkov, A. (Speaker)
18 Jun 2018Activity: Talk or presentation › Invited talk › Research