Elastic Wave Scattering and Dynamic Stress Concentrations in Stretching Thick Plates with Two Cutouts by Using the Refined Dynamic Theory
Source abstract
Abstract
Based on the refined dynamic equation of stretching plates, the elastic tension–compression wave scattering and dynamic stress concentrations in the thick plate with two cutouts are studied. In view of the problem that the shear stress is automatically satisfied under the free boundary condition, the generalized stress of the first-order vanishing moment of shear stress is considered. The numerical results indicate that, as the cutout is thick, the maximum value of the dynamic stress factor obtained using the refined dynamic theory is 19% higher than that from the solution of plane stress problems of elastic dynamics.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Geotechnical Engineering and Underground Structures · Numerical methods in engineering · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (16)
Show source-provided references
1. Savin GN. Stress concentration around holes. Oxford: Pergamon Press; 1961.
2. Muskhelishvili NI. Some basic problems of the mathematical theory of elasticity. Berlin: Springer; 2013.
3. Pao YH, Maw CC. Diffraction of elastic wave and dynamic stress concentration. New York: Crane Russak and Company; 1973.10.1115/1.3423178 ↗
4. Liu DK, Hu C. Scattering of flexural wave and dynamic stress concentration in mindlin thick plates with a cutout. Acta Mech Sin. 1996;12(2):169–85.10.1007/BF02486795 ↗
5. Liu DK, Gai BZ, Tao GY. Applications of the method of complex functions to dynamic stress concentrations. Wave Motion. 1982;4(3):293–304.10.1016/0165-2125(82)90025-7 ↗
6. Shimpi RP, Patel HG. A two variable refined plate theory for orthotropic plate analysis. Int J Solids Struct. 2006;43(22–23):6783–99.10.1016/j.ijsolstr.2006.02.007 ↗
7. Pao YH. Elastic waves in solids. J Appl Mech. 1983;50(4):1152–64.10.1115/1.3167197 ↗
8. Bedford A, Drumheller DS. Introduction to elastic wave propagation. London: Wiley; 1994.
9. Saada AS. Elasticity: theory and applications. Amsterdam: Elsevier; 2013.
10. Eringen AC, Suhubi ES. Elastodynamics, volume II linear theory. New York: Academic Press; 1975.
11. Sreelakshmi T, Rama E, Somaiah K. Effect of rotation on longitudinal wave propagation in an elastic solid with a cylindrical hole. Proc Eng. 2015;127:660–4.10.1016/j.proeng.2015.11.361 ↗
12. Khurana A, Tomar SK. Wave propagation in nonlocal microstretch solid. Appl Math Model. 2016;40(11–12):5858–75.10.1016/j.apm.2016.01.035 ↗
13. Somaiah K. Propagation of plane waves in micro-stretch elastic solid in special case. Glob J Pure Appl Math. 2017;13(6):2143–51.
14. Hu C, Cao TG, Zhou CP. Dynamic stress concentrations in infinite plates with a circular cutout based on refined theory. Arch Appl Mech. 2016;87(2):1–17.
15. Hu C, Zhou CP, Ni B, Liu DK. Dynamic stress concentrations in thick plates with an arbitrary cutout by using the refined theory. Chin J Solid Mech. 2013;34(4):410–6 (in Chinese).
16. Zhou CP, Hu C, Ma F, Liu DK. Dynamic stress concentrations in thick plates with two holes based on refined theory. Appl Math Mech (English Edn). 2014;35(12):1591–606.10.1007/s10483-014-1883-6 ↗