Simulation of shape memory alloy based applications undergoing large displacement and rotation following updated lagrangian formulation and isogeometric analysis
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Advanced Numerical Analysis Techniques · Composite Structure Analysis and Optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (35)
Show source-provided references
1. Antonucci Vincenza, Auricchio Ferdinando, Lecce Leonardo, Sacco Elio, et al. Shape memory alloy engineering: for aerospace, structural, and biomedical applications. Butterworth-Heinemann, (2021)
2. Auricchio, F., Conti, M., Ferraro, M., Morganti, S., Reali, A., Taylor, R.L.: Innovative and efficient stent flexibility simulations based on isogeometric analysis. Comput. Methods Appl. Mech. Eng. 295, 347–361 (2015)10.1016/j.cma.2015.07.011 ↗
3. Auricchio, Ferdinando, Petrini, Lorenza: A three-dimensional model describing stress-temperature induced solid phase transformations: solution algorithm and boundary value problems. Int. J. Numer. Meth. Eng. 61(6), 807–836 (2004)10.1002/nme.1086 ↗
4. Ben, Jaber M., Smaoui, H., Patrick, Terriault: Finite element analysis of a shape memory alloy three-dimensional beam based on a finite strain description. Smart Mater. Struct. 17(4), 045005 (2008)10.1088/0964-1726/17/4/045005 ↗
5. Chavalla, Sharath, Hoffmann, Thomas, Juhre, Daniel: Simulation of niti stent deployment in a realistic patient carotid artery using isogeometric analysis. Proced. Struct. Integr. 15, 8–15 (2019)10.1016/j.prostr.2019.07.003 ↗
6. Christ, Daniel, Reese, Stefanie: A finite element model for shape memory alloys considering thermomechanical couplings at large strains. Int. J. Solids Struct. 46(20), 3694–3709 (2009)10.1016/j.ijsolstr.2009.06.017 ↗
7. Cottrell, J. Austin., Hughes, Thomas J. R.., Bazilevs, Yuri: Isogeometric Analysis: Toward Integration of CAD and FEA. Wiley (2009). https://doi.org/10.1002/978047074908110.1002/9780470749081 ↗
8. Damanpack, A.R.: A 3d finite-strain beam model for thermo-mechanical deformations of 2d shape memory alloys in 3d space. Finite Elem. Anal. Des. 211, 103817 (2022)10.1016/j.finel.2022.103817 ↗
9. Dhote, R.P., Gomez, H., Melnik, R.N.V., Zu, J.: Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys. Comput. Mech. 53(6), 1235–1250 (2014)10.1007/s00466-013-0966-0 ↗
10. Dhote, R.P., Gomez, H., Melnik, R.N.V., Zu, J.: 3d coupled thermo-mechanical phase-field modeling of shape memory alloy dynamics via isogeometric analysis. Comput. Struct. 154, 48–58 (2015)10.1016/j.compstruc.2015.02.017 ↗
11. Dhote R, Gomez H, Melnik R, Zu J.: Temperature induced cubic-to-tetragonal transformations in shape memory alloys using a phase-field model. In: Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science, pages 183–189. Springer, (2015)10.1007/978-3-319-12307-3_26 ↗
12. Ganekanti, Tejdeep, Banerjee, Atanu: Simulation of shape memory alloy based curved structures using isogeometric analysis. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 237(20), 4858–4881 (2023)10.1177/09544062231155827 ↗
13. Ghasemi, Hamid, Kerfriden, Pierre, Bordas, Stéphane. P..A.., Muthu, J.., Zi, Goangseup, Rabczuk, Timon: Interfacial shear stress optimization in sandwich beams with polymeric core using non-uniform distribution of reinforcing ingredients. Compos. Struct. 120, 221–230 (2015). https://doi.org/10.1016/j.compstruct.2014.10.00510.1016/j.compstruct.2014.10.005 ↗
14. Hamid, Ghasemi, Park Harold, S., Xiaoying, Zhuang, Timon, Rabczuk: Three-dimensional isogeometric analysis of flexoelectricity with matlab implementation. Comput Mater Contin 65(2), 1157–1179 (2020)
15. Hughes, Thomas J. R..: Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity. In: Nemat-Nasser, Siavouche, Asaro, Robert J.., Hegemier, Gilbert A.. (eds.) Theoretical foundation for large-scale computations for nonlinear material behavior, pp. 29–63. Springer Netherlands, Dordrecht (1984). https://doi.org/10.1007/978-94-009-6213-2_310.1007/978-94-009-6213-2_3 ↗
16. Hughes Thomas, J.R., Cottrell John, A., Yuri, Bazilevs: Isogeometric analysis: Cad finite elements nurbs exact geometry and mesh refinement. Comput. Methods Appl. Mech. Eng. 194(39–41), 4135–4195 (2005)10.1016/j.cma.2004.10.008 ↗
17. Hughes, Thomas JR., Winget, James: Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Int. J. Numer. Meth. Eng. 15(12), 1862–1867 (1980)10.1002/nme.1620151210 ↗
18. Kim, N.H.: Introduction to Nonlinear Finite Element Analysis. Springer, US (2014)
19. Klaus-Jürgen, Bathe, Ekkehard, Ramm, Wilson, Edward L.: Finite element formulations for large deformation dynamic analysis. Int. J. Numer. Meth. Eng. 9(2), 353–386 (1975)10.1002/nme.1620090207 ↗
20. Kundu, Animesh, Banerjee, Atanu: Coupled thermomechanical modelling of shape memory alloy structures undergoing large deformation. Int. J. Mech. Sci. 220, 107102 (2022)10.1016/j.ijmecsci.2022.107102 ↗
21. Lagoudas Dimitris C.: Shape memory alloys: modeling and engineering applications. Springer, (2008)
22. Lars, Krone, Juliane, Mentz, Martin, Bram, Buchkremer, H.-P., Detlev, Stöver., Martin, Wagner, Gunther, Eggeler, Daniel, Christ, Stefanie, Reese, Denise, Bogdanski, et al.: The potential of powder metallurgy for the fabrication of biomaterials on the basis of nickel-titanium: A case study with a staple showing shape memory behaviour. Adv. Eng. Mater. 7(7), 613–619 (2005)10.1002/adem.200500029 ↗
23. Lei, Xu., Solomou, Alexandros, Baxevanis, Theocharis, Lagoudas, Dimitris: Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect. Int. J. Solids Struct. 221, 42–59 (2021)10.1016/j.ijsolstr.2020.03.009 ↗
24. Mirzaeifar, Reza, DesRoches, Reginald, Yavari, Arash, Gall, Ken: On superelastic bending of shape memory alloy beams. Int. J. Solids Struct. 50(10), 1664–1680 (2013)10.1016/j.ijsolstr.2013.01.035 ↗
25. Nhung, Nguyen, Waas, Anthony M.: Nonlinear, finite deformation, finite element analysis. Z. Angew. Math. Phys. 67(3), 1–24 (2016)
26. Piegl Les, Tiller Wayne. The NURBS book. Springer Science & Business Media, (1996)10.1007/978-3-642-59223-2 ↗
27. Qidwai, M.A., Lagoudas, D.C.: On thermomechanics and transformation surfaces of polycrystalline niti shape memory alloy material. Int. J. Plast 16(10–11), 1309–1343 (2000)10.1016/S0749-6419(00)00012-7 ↗
28. Qidwai, M.A., Lagoudas, D.C.: Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms. Int. J. Numer. Meth. Eng. 47(6), 1123–1168 (2000)10.1002/(SICI)1097-0207(20000228)47:6<1123::AID-NME817>3.0.CO;2-N ↗
29. Reese, Stefanie, Christ, Daniel: Finite deformation pseudo-elasticity of shape memory alloys-constitutive modelling and finite element implementation. Int. J. Plast 24(3), 455–482 (2008)10.1016/j.ijplas.2007.05.005 ↗
30. Scalet, Giulia, Conti, Michele, Auricchio, Ferdinando: Computational analysis of advanced shape-memory alloy devices through a robust modeling framework. Shape Memory and Superelasticity 3(2), 109–123 (2017)10.1007/s40830-017-0102-7 ↗
31. Simo, J.C., Hughes, T.J.R.: Computational Inelasticity. Interdisciplinary Applied Mathematics. Springer, New York (2006)
32. Sun, Yuanzun, Luo, Jun, Zhu, Jingming: Phase field study of the microstructure evolution and thermomechanical properties of polycrystalline shape memory alloys: Grain size effect and rate effect. Comput. Mater. Sci. 145, 252–262 (2018)10.1016/j.commatsci.2018.01.014 ↗
33. Wang, Jun, Moumni, Ziad, Zhang, Weihong, Yingjie, Xu., Zaki, Wael: A 3d finite-strain-based constitutive model for shape memory alloys accounting for thermomechanical coupling and martensite reorientation. Smart Mater. Struct. 26(6), 065006 (2017)10.1088/1361-665X/aa6c17 ↗
34. Xiao, He., Bruhns, Otto T., Meyers, Albert: Logarithmic strain, logarithmic spin and logarithmic rate. Acta Mech. 124, 89–105 (1997)10.1007/BF01213020 ↗
35. Zhou, Bo., Kang, Zetian, Wang, Zhiyong, Xue, Shifeng: Finite element method on shape memory alloy structure and its applications. Chin. J. Mech. Eng. 32(1), 1–11 (2019)10.1186/s10033-019-0401-3 ↗