Determination of Young modulus by using Rayleigh waves
•A mathematical model for a Rayleigh wave packet is developed.•Experimental data are analyzed to compute the input data for the numerical model.•A FEM is implemented to numerically replicate the experimental results.•An optimization procedure to obtain the Young modulus of the material is provided.•...
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| Published in | Applied Mathematical Modelling Vol. 77; pp. 439 - 455 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
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Elsevier Inc
01.01.2020
Elsevier BV |
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| Abstract | •A mathematical model for a Rayleigh wave packet is developed.•Experimental data are analyzed to compute the input data for the numerical model.•A FEM is implemented to numerically replicate the experimental results.•An optimization procedure to obtain the Young modulus of the material is provided.•The results of the numerical simulations are presented.
The aim of this work is to provide a non-destructive testing technique to obtain the physical properties of a given material, based on a series of images, obtained through a non-invasive procedure, that capture the experimental propagation of a Rayleigh waves packet travelling through it, and allowing us to obtain the phase velocity of the waves packet. The proposed procedure involves a minimization technique that requires the numerical simulation of the travelling waves to obtain the optimal material parameters. Numerical results are compared with experimental data to validate the procedure. |
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| AbstractList | •A mathematical model for a Rayleigh wave packet is developed.•Experimental data are analyzed to compute the input data for the numerical model.•A FEM is implemented to numerically replicate the experimental results.•An optimization procedure to obtain the Young modulus of the material is provided.•The results of the numerical simulations are presented.
The aim of this work is to provide a non-destructive testing technique to obtain the physical properties of a given material, based on a series of images, obtained through a non-invasive procedure, that capture the experimental propagation of a Rayleigh waves packet travelling through it, and allowing us to obtain the phase velocity of the waves packet. The proposed procedure involves a minimization technique that requires the numerical simulation of the travelling waves to obtain the optimal material parameters. Numerical results are compared with experimental data to validate the procedure. The aim of this work is to provide a non-destructive testing technique to obtain the physical properties of a given material, based on a series of images, obtained through a non-invasive procedure, that capture the experimental propagation of a Rayleigh waves packet travelling through it, and allowing us to obtain the phase velocity of the waves packet. The proposed procedure involves a minimization technique that requires the numerical simulation of the travelling waves to obtain the optimal material parameters. Numerical results are compared with experimental data to validate the procedure. |
| Author | Moreno, C. Quintela, P. Cao-Rial, M.T. |
| Author_xml | – sequence: 1 givenname: M.T. orcidid: 0000-0002-8866-1246 surname: Cao-Rial fullname: Cao-Rial, M.T. email: teresa.cao@udc.es organization: Departamento de Matemáticas, Universidade da Coruña, Spain – sequence: 2 givenname: C. surname: Moreno fullname: Moreno, C. email: cmoreno@ccia.uned.es organization: Departamento de Estadística, Investigación Operativa y Cálculo Numérico, Universidad Nacional de Educación a Distancia, Spain – sequence: 3 givenname: P. orcidid: 0000-0003-2717-8936 surname: Quintela fullname: Quintela, P. email: peregrina.quintela@usc.es, peregrina.quintela@itmati.com organization: Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Spain |
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| Cites_doi | 10.1007/s11012-012-9595-5 10.1016/j.apm.2010.11.067 10.1016/j.apm.2018.03.029 10.1016/j.jsv.2009.12.026 10.1016/j.engfracmech.2013.07.011 10.1061/(ASCE)0733-9399(1998)124:12(1346) 10.1121/1.418423 10.1121/1.1760800 10.1103/PhysRevE.85.016209 10.1002/mma.774 10.1177/1056789513494232 10.1016/j.apm.2010.07.035 10.1063/1.1718976 10.1016/0950-0618(96)00003-7 10.1177/0731684418793207 10.1016/j.apm.2018.02.025 10.1121/1.1898663 10.1121/1.413328 10.1121/1.2214153 10.1051/matecconf/201710813002 10.1016/j.apm.2018.08.015 |
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| Keywords | Finite element method Young modulus Non-destructive testing Rayleigh waves Material properties |
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| Snippet | •A mathematical model for a Rayleigh wave packet is developed.•Experimental data are analyzed to compute the input data for the numerical model.•A FEM is... The aim of this work is to provide a non-destructive testing technique to obtain the physical properties of a given material, based on a series of images,... |
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| SubjectTerms | Computer simulation Destructive testing Finite element method Material properties Modulus of elasticity Non-destructive testing Nondestructive testing Optimization Phase velocity Physical properties Rayleigh waves Traveling waves Wave propagation Young modulus |
| Title | Determination of Young modulus by using Rayleigh waves |
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