Size effect in piezoelectric semiconductor nanostructures
Source abstract
Abstract
A gradient theory is applied to the mechanical constitutive equations for piezoelectric semiconductor nanostructures. This is achieved by considering the strain gradients in the constitutive equation with high-order stresses and electric displacements in advanced continuum model. The C 1 continuous interpolations of displacements or a mixed formulation is required in the finite element method (FEM) due to the presence of the second-order derivative on the elastic displacements. A mixed FEM is then developed from the principle of virtual work. Numerical examples clearly show the significant effect of flexoelectricity on the induced electric potential and electric current in the piezoelectric semiconductor nanostructures.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Thermoelastic and Magnetoelastic Phenomena · Composite Material Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia
College of Engineering, Cleveland State University, Cleveland, OH, USA
Funding
agentúra na podporu výskumu a vývoja
References (68)
Show source-provided references
1. 10.1021/nl104004d10.1021/nl104004d ↗
2. Auld BA (1973) Acoustic Fields and Waves in Solids. New York: John Wiley and Sons, pp. 357–382.
3. Bimberg D · 1999
4. 10.1063/1.147536910.1063/1.1475369 ↗
5. 10.1063/1.366043110.1063/1.3660431 ↗
6. 10.1016/j.nanoen.2017.11.00210.1016/j.nanoen.2017.11.002 ↗
7. 10.1115/1.403693910.1115/1.4036939 ↗
8. Dong L · CMC: Computers, Materials & Continua · 2011 · 24 · 61
9. 10.1177/1045389X1667256910.1177/1045389X16672569 ↗
10. 10.1016/j.nanoen.2017.07.04910.1016/j.nanoen.2017.07.049 ↗
11. 10.1021/nl803547f10.1021/nl803547f ↗
12. 10.1016/j.cma.2016.09.02910.1016/j.cma.2016.09.029 ↗
13. 10.1016/j.cma.2017.12.00510.1016/j.cma.2017.12.005 ↗
14. 10.1016/j.ijsolstr.2009.11.02010.1016/j.ijsolstr.2009.11.020 ↗
15. Hu SL · CMC: Computers, Materials & Continua · 2009 · 13 · 63
16. 10.1063/1.172852510.1063/1.1728525 ↗
17. 10.1016/j.ijsolstr.2006.10.03310.1016/j.ijsolstr.2006.10.033 ↗
18. 10.1016/j.euromechsol.2020.10405010.1016/j.euromechsol.2020.104050 ↗
19. 10.1177/1045389X1668543810.1177/1045389X16685438 ↗
20. 10.3762/bjnano.9.18310.3762/bjnano.9.183 ↗
21. 10.1007/s10338-019-00109-310.1007/s10338-019-00109-3 ↗
22. 10.1186/s11671-015-1081-210.1186/s11671-015-1081-2 ↗
23. 10.1016/j.ijmecsci.2018.03.03510.1016/j.ijmecsci.2018.03.035 ↗
24. 10.1016/j.euromechsol.2019.10383410.1016/j.euromechsol.2019.103834 ↗
25. 10.1063/1.499675410.1063/1.4996754 ↗
26. 10.1103/PhysRevB.74.01411010.1103/PhysRevB.74.014110 ↗
27. 10.1103/PhysRevB.94.17410110.1103/PhysRevB.94.174101 ↗
28. 10.1177/1045389X1880344110.1177/1045389X18803441 ↗
29. 10.1016/j.euromechsol.2018.06.00210.1016/j.euromechsol.2018.06.002 ↗
30. 10.1016/j.cma.2018.08.02610.1016/j.cma.2018.08.026 ↗
31. 10.1177/1045389X1770498510.1177/1045389X17704985 ↗
32. 10.1002/pssb.20064251310.1002/pssb.200642513 ↗
33. 10.1063/1.323438310.1063/1.3234383 ↗
34. Patron VZ · 1988
35. 10.2140/jomms.2011.6.79110.2140/jomms.2011.6.791 ↗
36. 10.4236/wjm.2011.1503110.4236/wjm.2011.15031 ↗
37. Sladek J · CMES-Computer Modeling in Engineering & Sciences · 2014 · 99 · 273
38. 10.1016/j.engfracmech.2014.05.01110.1016/j.engfracmech.2014.05.011 ↗
39. 10.1088/1361-665X/aad2ae10.1088/1361-665X/aad2ae ↗
40. 10.1016/j.compstruct.2018.07.04310.1016/j.compstruct.2018.07.043 ↗
41. 10.1016/j.ijsolstr.2015.01.01210.1016/j.ijsolstr.2015.01.012 ↗
42. 10.1016/j.ijsolstr.2016.08.01110.1016/j.ijsolstr.2016.08.011 ↗
43. 10.1103/PhysRevB.34.588310.1103/PhysRevB.34.5883 ↗
44. 10.1557/mrs2009.17510.1557/mrs2009.175 ↗
45. 10.1016/j.ijsolstr.2017.01.00910.1016/j.ijsolstr.2017.01.009 ↗
46. 10.1063/1.511666210.1063/1.5116662 ↗
47. 10.1016/j.euromechsol.2020.10396110.1016/j.euromechsol.2020.103961 ↗
48. 10.1016/j.ijsolstr.2021.01.03110.1016/j.ijsolstr.2021.01.031 ↗
49. 10.1007/s11831-020-09406-410.1007/s11831-020-09406-4 ↗
50. 10.1088/1361-6528/aab97010.1088/1361-6528/aab970 ↗
51. Wang Z · Advances in Materials Science and Engineering · 2015 · 2015 · 1
52. 10.1063/1.172901510.1063/1.1729015 ↗
53. 10.1038/natrevmats.2016.3110.1038/natrevmats.2016.31 ↗
54. 10.1115/1.154454010.1115/1.1544540 ↗
55. 10.1142/605710.1142/6057 ↗
56. 10.1016/j.ijsolstr.2004.10.01110.1016/j.ijsolstr.2004.10.011 ↗
57. 10.1007/s00707-004-0188-910.1007/s00707-004-0188-9 ↗
58. 10.3233/JAE-2005-69410.3233/JAE-2005-694 ↗
59. 10.1088/2053-1591/aaecbb10.1088/2053-1591/aaecbb ↗
60. 10.1016/j.nanoen.2019.10414710.1016/j.nanoen.2019.104147 ↗
61. 10.1088/0957-4484/24/43/43200110.1088/0957-4484/24/43/432001 ↗
62. 10.1088/1361-665X/aa542e10.1088/1361-665X/aa542e ↗
63. 10.1007/978-3-319-77504-3_1310.1007/978-3-319-77504-3_13 ↗
64. 10.1177/1045389X2096316810.1177/1045389X20963168 ↗
65. 10.1063/1.513138810.1063/1.5131388 ↗
66. 10.1016/j.ijsolstr.2016.05.00910.1016/j.ijsolstr.2016.05.009 ↗
67. 10.1016/j.euromechsol.2018.01.01010.1016/j.euromechsol.2018.01.010 ↗
68. 10.1177/1045389X1667929410.1177/1045389X16679294 ↗