Identification of inclusions of arbitrary geometry with different physical properties of materials in 3D structures

A. Makseev; T. V. Yakovleva; A. V. Krysko; M. V. Zhigalov; V. A. Krysko

doi:10.1007/s10999-024-09727-3

journal article·2025-02

Identification of inclusions of arbitrary geometry with different physical properties of materials in 3D structures

A. Makseev, T. V. Yakovleva, A. V. Krysko, M. V. Zhigalov, V. A. Krysko

International Journal of Mechanics and Materials in Design· Volume 21· Issue 1

Publisher page

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: Innovations in Concrete and Construction Materials · Topology Optimization in Engineering · Composite Material Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (58)

Show source-provided references

1. Abdel-Jaber, H., Glisic, B.: A method for the on-site determination of prestressing forces using long-gauge fiber optic strain sensors. Smart Mater. Struct. 23(7), 075004 (2014). https://doi.org/10.1088/0964-1726/23/7/07500410.1088/0964-1726/23/7/075004 ↗

2. Agathos, K., Chatzi, E., Bordas, S.P.A.: Multiple crack detection in 3d using a stable xfem and global optimization. Comput. Mech. 62(4), 835–852 (2018). https://doi.org/10.1007/s00466-017-1532-y10.1007/s00466-017-1532-y ↗

3. Akbari, J., Ahmadifarid, M., Kazemi Amiri, A.: Multiple crack detection using wavelet transforms and energy signal techniques. Frattura Ed Integrita Strutturale 14(52), 269–280 (2020). https://doi.org/10.3221/IGF-ESIS.52.2110.3221/IGF-ESIS.52.21 ↗

4. Alessandrini, G., Morassi, A., Rosset, E.: Detecting cavities by electrostatic boundary measurements. Inverse Probl. 18(5), 1333 (2002). https://doi.org/10.1088/0266-5611/18/5/30810.1088/0266-5611/18/5/308 ↗

5. Alessandrini, G., Bilotta, A., Formica, G., Morassi, A., Rosset, E., Turco, E.: Numerical size estimates of inclusions in elastic bodies. Inverse Prob. 21(1), 133 (2004). https://doi.org/10.1088/0266-5611/21/1/00910.1088/0266-5611/21/1/009 ↗

6. Alessandrini, G., Bilotta, A., Formica, G., Morassi, A., Rosset, E., Turco, E.: Evaluating the volume of a hidden inclusion in an elastic body. J. Comput. Appl. Math. 198, 288–306 (2007). https://doi.org/10.1016/j.cam.2005.09.02410.1016/j.cam.2005.09.024 ↗

7. Amoura, N., Kebir, H., Rechak, S., Roelandt, J.M.: Axisymmetric and two dimensional crack identification using boundary elements and coupled quasirandom downhill simplex algorithms. Eng. Anal. Boundary Elem. 34, 611–618 (2010). https://doi.org/10.1016/j.enganabound.2010.02.00210.1016/j.enganabound.2010.02.002 ↗

8. Amoura, N., Kebir, H., Benzerdjeb, A.: 3D crack identification using the neldermead simplex algorithm combined with a random generation of crack positions. Frattura Ed Integrita Strutturale 59, 243–255 (2022b). https://doi.org/10.3221/IGF-ESIS.59.1810.3221/IGF-ESIS.59.18 ↗

9. Amoura, N., Benaissa, B., Al Ali, M., Khatir, S.: Deep neural network and yuki algorithm for inner damage characterization based on elastic boundary displacement. In: Capozucca, R. (ed.) Proceedings of the international conference of steel and composite for engineering structures. ICSCES 2022. Lecture Notes in Civil Engineering, vol. 317. Springer, Cham (2023)10.1007/978-3-031-24041-6_18 ↗

10. Ang, D.D., Mennicken, R., Thanh, D.N., Trong, D.D.: Cavity detection by the electric method: the 3-dimensional case. ZAMM 84(2), 75–85 (2004). https://doi.org/10.1002/zamm.20031011910.1002/zamm.200310119 ↗

11. Bellis, C.M., Bonnet, C.R.: Crack identification by 3d time-domain elastic or acoustic topological sensitivity. Mecanique 337, 124–130 (2009). https://doi.org/10.1016/j.crme.2009.03.01510.1016/j.crme.2009.03.015 ↗

12. Bellis, C., Bonnet, M.: Qualitative identification of cracks using 3d transient elastodynamic topological derivative: formulation and fe implementation. Comput. Methods Appl. Mech. Eng. 253, 89–105 (2013). https://doi.org/10.1016/j.cma.2012.10.006.hal-0074151510.1016/j.cma.2012.10.006.hal-00741515 ↗

13. Bendsoe, M.P., Kikuchi, N.: Generating optimal topologies in structural design using a homogenization method. Comput. Methods Appl. Mech. Eng.. 71(2), 197–224 (1988)10.1016/0045-7825(88)90086-2 ↗

14. Bendsoe, M.P., Sigmund, O.: Topology optimization: theory, methods and applications, 2nd edn. Springer, Berlin (2004)10.1007/978-3-662-05086-6 ↗

15. Birger, A.: Some general methods of solution for problems in the theory of plasticity. Prikl. Mat. Mekh. 25(6), 765–770 (1951) (In Russian)

16. Fendzi, C., Morel, J., Rebillat, M., Guskov, M., Mechbal, N., Cognal, G.: Optimal sensors placement to enhance damage detection in composite plates. In: Proceedings of the 7th European workshop on structural health monitoring, Nantes, France, 8–11 July 2014 (2014)

17. François Cardarelli.: Materials handbook. A concise desktop reference. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-38925-710.1007/978-3-319-38925-7 ↗

18. Gomes, G.F., Almeida, F.A.: Tuning metaheuristic algorithms using mixture design: Application of sunflower optimization for structural damage identification. Adv. Eng. Softw. 149, 102877 (2020). https://doi.org/10.1016/j.advengsoft.2020.10287710.1016/j.advengsoft.2020.102877 ↗

19. Goncalves, J.F., Moreira, J.B.D., Salas, R.A., et al.: Identification problem of acoustic media in the frequency domain based on the topology optimization method. Struct Multidisc Optim 62, 1041–1059 (2020). https://doi.org/10.1007/s00158-020-02638-910.1007/s00158-020-02638-9 ↗

20. Guemes, A.: Shm of composite structures by fiber optic sensors. In: Aliabadi, F.M.H., Khodaei, Z.S. (eds.) Structural health monitoring for advanced composite structures, pp. 191–213. World Scientific Publishing Europe Ltd., London (2018)10.1142/9781786343932_0006 ↗

21. Guemes, A., Fernandez-Lopez, A., Diaz-Maroto, P.F., Lozano, A., Sierra-Perez, J.: Structural health monitoring in composite structures by fiber-optic sensors. Sensors 18, 1094 (2018). https://doi.org/10.3390/s1804109410.3390/s18041094 ↗

22. Harzallah, S., Rebhi, R., Chabaat, M., Rabehi, A.: Eddy current modelling using multi-layer perceptron neural networks for detecting surface cracks. Frattura Ed Integrita Strutturale 12(45), 147–155 (2018). https://doi.org/10.3221/IGF-ESIS.45.1210.3221/IGF-ESIS.45.12 ↗

23. Ida, N., Meyendorf, N.: Handbook of advanced nondestructive evaluation. Springer, Switzerland (2019)10.1007/978-3-319-26553-7 ↗

24. Jameel, A., Harmain, G.A., Anand, Y., Masoodi, J.H., Najar, F.A.: Effect of inclusions on the shape and size of crack tip plastic zones by element free galerkin method. Int. J. Mech., Aerosp., Ind., Mechatron. Manuf. Eng. 11(3), 475–480 (2017)

25. Kazarinova, N.A., Rudoy, E.M., Slesarenko, VYu., Shcherbakov, V.V.: Mathematical and numerical simulation of equilibrium of an elastic body reinforced by a thin elastic inclusion. Comput. Math. Math. Phys. 58(5), 761–774 (2018). https://doi.org/10.1134/S096554251805011110.1134/S0965542518050111 ↗

26. Kefal, A., Sohouli, A., Oterkus, E., al.: Topology optimization of cracked structures using peridynamics. Continuum Mech. Thermodyn. 31, 1645–1672 (2019). https://doi.org/10.1007/s00161-019-00830-x10.1007/s00161-019-00830-x ↗

27. Krysko, V., Awrejcewicz, J., Bodyagina, K.S., Zhigalov, M.V., Krysko, V.A.: Mathematical modeling of physically nonlinear 3D beams and plates made of multimodulus materials. Acta Mech 232, 3441–3469 (2021). https://doi.org/10.1007/s00707-021-03010-810.1007/s00707-021-03010-8 ↗

28. Krysko, A.V., Awrejcewicz, J., Zhigalov, M.V., Bodyagina, K.S., Krysko, V.A.: On 3D and 1D mathematical modeling of physically nonlinear beams. Int. J. Non-Linear Mech. 134, 103734 (2021). https://doi.org/10.1016/j.ijnonlinmec.2021.10373410.1016/j.ijnonlinmec.2021.103734 ↗

29. Krysko, A., Awrejcewicz, J., Bodyagina, K., Makseev, A., Zhigalov, M., Krysko, V.: Identifying inclusions in a non-uniform thermally conductive plate under external flows and internal heat sources using topological optimization. Math. Mech. Solids 27(9), 1649–1671 (2022). https://doi.org/10.1177/1081286521104852210.1177/10812865211048522 ↗

30. Krysko, A.V., Makseev, A., Smirnov, A., Zhigalov, M.V., Krysko, V.A.: A new approach to identifying an arbitrary number of inclusions, their geometry and location in the structure using topological optimization. Appl. Sci. 13, 49 (2023). https://doi.org/10.3390/app1301004910.3390/app13010049 ↗

31. Krysko-jr, V.A., Tebyakin, A.D., Zhigalov, M.V., Krysko, V.A., Awrejcewicz, J.: Mathematical model of physically non-linear Kirchhoff plates: Investigation and analysis of effective computational iterative methods. Int. J. Non-Linear Mech. 150, 104346 (2023). https://doi.org/10.1016/j.ijnonlinmec.2022.10434610.1016/j.ijnonlinmec.2022.104346 ↗

32. Krysko-jr, V.A., Tebyakin, A.D., Zhigalov, M.V., Krysko, V.A., Awrejcewicz, J.: Mathematical model of physically non-linear Kirchhoff plates: Investigation and analysis of effective computational iterative methods. Int. J. Non-Linear Mech. 150, 104346 (2023). https://doi.org/10.1016/j.ijnonlinmec.2022.10434610.1016/j.ijnonlinmec.2022.104346 ↗

33. Liang, Y.-C., Sun, Y.-P.: Hardware-in-the-loop simulations of hole/crack identification in a composite plate. Materials 13(2), 424 (2020). https://doi.org/10.3390/ma1302042410.3390/ma13020424 ↗

34. Lin, J.F., Wu, W.L., Huang, J.L., Wang, J.F., Ren, W.X., Ni, Y.Q., Wang, L.X.: An adaptive sparse regularization method for response covariance-based structural damage dete. Struct. Control Health Monit. 2023, 1–40 (2023). https://doi.org/10.1155/2023/349666610.1155/2023/3496666 ↗

35. Mei, H., Haider, M.F., Roshan, J., Migot, A., Giurgiutiu, V.: Recent advances in piezoelectric wafer active sensors for structural health monitoring applications. Sensors 19, 383 (2019). https://doi.org/10.3390/s1902038310.3390/s19020383 ↗

36. Mishra, M., Barman, S.K., Maity, D., Maiti, D.K.: Performance studies of 10 metaheuristic techniques in determination of damages for large-scale spatial trusses from changes in vibration responses. J. Comput. Civ. Eng. (2020). https://doi.org/10.1061/(ASCE)CP.1943-5487.000087210.1061/(ASCE)CP.1943-5487.0000872 ↗

37. Nanthakumar, S.S., Lahmer, T., Rabczuk, T.: Detection of flaws in piezoelectric structures using extended FEM. Int. J. Numer. Meth. Eng. 96(6), 373–389 (2013)10.1002/nme.4565 ↗

38. Nanthakumar, S.S., Valizadeh, N., Park, H.S., Rabczuk, T.: Surface effects on shape and topology optimization of nanostructures. Comput. Mech. 56, 97–112 (2015a)10.1007/s00466-015-1159-9 ↗

39. Nanthakumar, S.S., Lahmer, T., Zhuang, X., Zi, G., Rabczuk, T.: Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Probl. Sci. Eng. (2015b). https://doi.org/10.1080/17415977.2015.101748510.1080/17415977.2015.1017485 ↗

40. Nanthakumar, S.S., Lahmer, T., Zhuang, X., Park, H.S., Rabczuk, T.: Topology optimization of piezoelectric nanostructures. J. Mech. Phys. Solids 94, 316–335 (2016)10.1016/j.jmps.2016.03.027 ↗

41. Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7(4), 308–313 (1965). https://doi.org/10.1093/comjnl/7.4.30810.1093/comjnl/7.4.308 ↗

42. Nguyen-Tuan, L., Nanthakumar, S.S., Lahmer, T.: Identification of multiple flaws in dams using inverse analysis based on hydro-mechanical XFEM and level sets. Comput. Geotech. 110, 211–221 (2019)10.1016/j.compgeo.2019.02.006 ↗

43. Ohashi Y., Murakami S.: The elastoplastic bending of a clamped thin circular plate. In: Proceedings of the Eleventh International Congress of Applied Mechanics Munich, (1964)

44. Oukhlef, A., Latrache, N., Champmartin, S., Maiss, M.: Identification of the pore size distribution of a porous medium using oscillating newtonian fluids. Phys. Lett. A 460, 128615 (2023). https://doi.org/10.1016/j.physleta.2022.12861510.1016/j.physleta.2022.128615 ↗

45. Ozisik, M.N., Orlande, H.: Inverse heat transfer: fundamentals and applications. CRC Press, Boca Raton (2020)

46. Pena, M., Rapun, M.-L.: Detecting damage in thin plates by processing infrared thermographic data with topological derivatives. Adv. Math. Phys. 2019, 1–18 (2019). https://doi.org/10.1155/2019/549479510.1155/2019/5494795 ↗

47. Prandtl L., Zs. f. angew. Math. U. Mech. V. VIII, (1928)

48. Quqa, S., Landi, L.: Damage detection in nonlinear elastic structures using individual sensors. Buildings 13, 639 (2023). https://doi.org/10.3390/buildings1303063910.3390/buildings13030639 ↗

49. Rudoy, E.M.: On numerical solving a rigid inclusions problem in 2D elasticity. Z. Angew. Math. Phys. 68, 19 (2017). https://doi.org/10.1007/s00033-016-0764-610.1007/s00033-016-0764-6 ↗

50. Rudoy, E.M.: Asymptotic justification of models of plates containing inside hard thin inclusions. Technologies 8, 59 (2020). https://doi.org/10.3390/technologies804005910.3390/technologies8040059 ↗

51. Rudoy, E.M., Itou, H., Lazarev, N.P.: Asymptotic justification of the models of thin inclusions in an elastic body in the Antiplane shear problem. J. Appl. Ind. Math. 15(1), 129–140 (2021). https://doi.org/10.1134/S199047892101011710.1134/S1990478921010117 ↗

52. Ryuzono, K., Yashiro, S., Nagai, H., Toyama, N.: Topology optimization-based damage identification using visualized ultrasonic wave propagation. Materials 13, 33 (2020). https://doi.org/10.3390/ma1301003310.3390/ma13010033 ↗

53. Samanta, S., Nanthakumar, S.S., Annabattula, R.K., Zhuang, X.: Detection of void and metallic inclusion in 2D piezoelectric cantilever beam using impedance measurements. Front. Struct. Civ. Eng. 13(3), 542–556 (2019)10.1007/s11709-018-0496-0 ↗

54. Tian, F., Zhao, Y., Che, X., Zhao, Y., Xin, D.: Concrete crack identification and image mosaic based on image processing. Appl. Sci. 9, 4826 (2019). https://doi.org/10.3390/app922482610.3390/app9224826 ↗

55. Trong, D.D., Ang, D.D.: Identification of cavities in a three dimensional elastic body. J. Anal. Appl. 23(2), 407–422 (2004)

56. Vorovich, I.I., Krasovsky, Yu.P.: On the method of elastic solutions. DAN USSR 126(4), 740–743 (1959)

57. Zhang, C., Wang, C., Lahmer, T., He, P., Rabczuk, T.: A dynamic xfem formulation for crack identification. Int. J. Mech. Mater. Des. 12(4), 427–448 (2015). https://doi.org/10.1007/s10999-015-9312-310.1007/s10999-015-9312-3 ↗

58. Zhuang, X., Nguyen, C., Nanthakumar, S.S., Jin, Y., Rabczuk, T.: Inverse design of reconfigurable piezoelectric topological phononic plates. Mater. Design 219, 110760 (2022)10.1016/j.matdes.2022.110760 ↗