1. Full name:     Vu Thi Ngoc Anh                                  2. Sex:  Female

3. Date of birth: 25/10/1988                                            4. Place of birth: Thai Binh

5. Admission decision number: The decision No. 2875/QĐ-ĐHKHTN, August 07, 2015 by Rector of VNU University of Science.

6. Changes in academic process: The decision on temporarily absence off study No. 2205/QĐ-ĐHKHTN, June 19, 2017 and the decision on continuing study No. 4721/QĐ-ĐHKHTN, December 29, 2017, by Rector of VNU University of Science.

7. Official thesis title:  Effective boundary condition method and Rayleigh waves in elastic half-spaces coated by an elastic layer.

8. Major: Mechanics of Solids                                                    9. Code: 9440109.02

10. Supervisors:            Prof. Pham Chi Vinh

11. Summary of the new findings of the thesis

- The effective boundary condition method has been developed for the structure of an elastic half-space coated by an elastic layer with the sliding contact and the spring contact.

- The incompressible limit method has been developed for the orthotropic elastic materials under plane strain.

-  The explicit secular equations of Rayleigh waves in elastic half-spaces overlaid by an elastic layer with the welded, sliding and spring contacts, for compressible and incompressible as well, have been derived by employing the effective boundary condition method along with the incompressible limit method.

The main results of the thesis have been published in 09 ISI papers (06 SCI papers, 03 SCIE ones), and 01 Vietnam Journal of Mechanics’ paper.

12. Paratical applicability, if any:  To evaluate the mechanical properties of structures by using the obtained explicit secular equations.

13. Further research directions, if any:

- Application of the effective boundary condition method to derive approximate effective boundary conditions for anisotropic materials (monoclinic materials with the symmetry plane at x1=0, x2=0), piezoelectric materials,…

- To derive the transfer matrices for anisotropic elastic materials.

- Using the obtained effective boundary conditions to study of the reflection and refraction of elastic waves in layered media.

- Using the obtained transfer matrices and the effective boundary condition method to derive formula for the horizontal-to-vertical displacement in elastic half-spaces coated by thin elastic layers.

- To develop the incompressible limit method for monoclinic materials with the symmetry plane at x1=0, x2=0, x3=0.  

14. Thesis-related publications:

[1] Pham Chi Vinh, Vu Thi Ngoc Anh, Vu Phuong Thanh (2014), “Rayleigh waves in an isotropic elastic half-space coated by a thin isotropic   elastic layer with smooth contact”, Wave Motion, 51, 496-504.

[2] Pham Chi Vinh, Vu Thi Ngoc Anh (2014), “An approximate secular equation of Rayleigh waves in an isotropic elastic half-space coated with a thin isotropic elastic layer”, Acta Mechanica, 225(9), 2539-2547.

[3] Pham Chi Vinh, Vu Thi Ngoc Anh (2014), “Rayleigh waves in an orthotropic half-space coated by a thin orthotropic layer with sliding contact”, International Journal of Engineering Science, 75, 154-164.

[4] Pham Chi Vinh, Vu Thi Ngoc Anh (2015), “Effective boundary condition method and Rayleigh waves in orthotropic half-spaces coated by a thin layer with sliding contact”, Archives of Mechanics, 67(6),  477-498.

[5] Pham Chi Vinh, Vu Thi Ngoc Anh (2016), “Effective boundary condition method and approximate secular equations of Rayleigh waves in orthotropic half-spaces coated by a thin layer”, Journal of Mechanics of Materials and Structures, 11(3), 259-277.

[6] Pham Chi Vinh, Vu Thi Ngoc Anh and Nguyen Thi Khanh Linh (2016), “On a technique for deriving the explicit secular equation of Rayleigh waves in an orthotropic half space coated by an orthotropic layer”, Waves in Random and Complex Media, 26(2), 176-188.

[7]  Pham Chi Vinh, Vu Thi Ngoc Anh and Nguyen Thi Khanh Linh (2016), “Exact secular equations of Rayleigh waves in an orthotropic elastic half-space overlaid by an orthotropic elastic layer”, International Journal of Solids and Structures, 83, 65–72.

[8] Pham Chi Vinh and Vu Thi Ngoc Anh (2016), “Rayleigh waves in a layered orthotropic elastic half-space with sliding contact”, Journal of Vibration and Control, 24(10), 2070-2079.

[9] Pham Chi Vinh, Vu Thi Ngoc Anh (2016), “Rayleigh waves in an orthotropic elastic half-space overlaid by an elastic layer with spring contact”, Meccanica, 52 (4-5), 1189-1199.

[10] Pham Chi Vinh, Vu Thi Ngoc Anh (2015), “An approximate secular equation of Rayleigh waves in an elastic half-space coated by a thin weakly inhomogeneous elastic layer”, Vietnam Journal of Mechanics, 37 (1), 71- 80.

[11] Phạm Chí Vĩnh, Vũ Thị Ngọc Ánh, “Sóng mặt Rayleigh trong bán không gian đàn hồi phủ một lớp vật liệu với liên kết lò xo”, Hội nghị Khoa học toàn quốc Cơ học Vật rắn biến dạng lần thứ XII Thành phố Đà Nẵng, 6-7/08/2015, 1677-1684.