Abstract
Mechanical design of additive manufacturing (AM) fabricated viscoelastic parts under consideration. Such a design is of great importance for obtaining final products with desired shape and strength which are determined by their stress–strain state. Mathematical model of model of viscoelastic solid which grows due to the process of additive manufacturing is proposed. Complete system of boundary value problem equations is obtained. A method for solving formulated boundary value problem is developed. Qualitative conclusions concerning the behavior of growing solids are presented.
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References
Manzhirov AV (2015) Mechanical design of viscoelastic parts fabricated using additive manufacturing technologies. In: Lecture notes in engineering and computer science: proceedings of the World Congress on Engineering, WCE, London, pp 710–714
Manzhirov AV (1995) The general non-inertial initial-boundary value problem for a viscoelastic ageing solid with piecewise-continuous accretion. J Appl Math Mech 59(5):805–816
Manzhirov AV (2013) Mechanics of growing solids and phase transitions. Key Eng Mater 535–536:89–93
Manzhirov AV, Lychev SA, Gupta NK (2013) Nonlinear models of growing solids. Proc Indian Natl Sci Acad 79(4):529–545
Manzhirov AV (2014) Mechanics of growing solids: new track in mechanical engineering. In: Proceedings of ASME 2014 international mechanical engineering congress & exposition, IMECE 2014, Montreal, Canada, 10p
Manzhirov AV, Lychev SA (2014) Mathematical modeling of additive manufacturing technologies. In: Lecture notes in engineering and computer science: World Congress on Engineering, WCE, London, pp 1404–1409
Lychev SA, Manzhirov AV (2014) Discrete and continuous growth of hollow cylinder: finite deformations. In: Lecture notes in engineering and computer science: World Congress on Engineering, WCE, London, pp 1327–1332
Manzhirov AV, Lychev SA (2015) An approach to modeling of additive manufacturing technologies. In: Transactions on engineering technologies: World Congress on Engineering. Springer, Netherlands, pp 99–115
Lychev SA, Manzhirov AV, Bychkov PS (2015) Discrete and continuous growth of deformable cylinder. In: Transactions on engineering technologies: World Congress on Engineering. Springer, Netherlands, pp 239–254
Manzhirov AV, Parshin DA (2015) Arch structure erection by an additive manufacturing technology under the action of the gravity force. Mech Solids 50(5):559–570
Manzhirov AV, Parshin DA (2015) The influence of the erection mode on the stress state of a viscoelastic arch structure which is built up using an additive manufacturing technology under the action of the gravity force. Mech Solids 50(6)
Manzhirov A, Gupta N (2015) Fundamentals of continuous growth processes in technology and nature. In: IUTAM symposium on growing solids. Symposium materials. Institute for Problems in Mechanics RAS, Moscow, pp 73–76
Lychev S, Manzhirov A, Shatalov M, Fedotov I (2015) Transient temperature fields in growing bodies subject to discrete and continuous growth regimes. In: IUTAM symposium on growing solids. Symposium materials. Institute for Problems in Mechanics RAS, Moscow, pp 68–71
Kazakov K, Kurdina S, Manzhirov A (2015) Multibody contact problems for discretely growing systems. In: IUTAM symposium on growing solids. Symposium materials. Institute for Problems in Mechanics RAS, Moscow, pp 39–42
Manzhirov AV (2015) Problems of growing solids mechanics in modern industrial technologies. In: Topical problems of continuum mechanics: proceedings of the IV international conference. National University of Architecture and Civil Engineering, Yerevan, pp 471–475
Acknowledgment
This work was financially supported by the Russian Science Foundation under Grant 14-19-01280.
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Manzhirov, A.V. (2016). A Method for Mechanical Design of AM Fabricated Viscoelastic Parts. In: Ao, Si., Yang, GC., Gelman, L. (eds) Transactions on Engineering Technologies. Springer, Singapore. https://doi.org/10.1007/978-981-10-1088-0_17
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DOI: https://doi.org/10.1007/978-981-10-1088-0_17
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