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Abstract

In this paper, we investigate a problem on reflection and transmission of plane-waves at an interface between two dissimilar half-spaces of a transversely isotropic micropolar piezoelectric material. The entire model is assumed to rotate with a uniform angular velocity. The governing equations of rotating and transversely isotropic micropolar piezoelectric medium are specialized in a plane. Plane-wave solutions of two-dimensional coupled governing equations show the possible propagation of three coupled plane-waves. For an incident plane-wave at an interface between two dissimilar half-spaces, three reflected and three transmitted waves propagate with distinct speeds. The connections between the amplitude ratios of reflected and transmitted waves are obtained. The expressions for the energy ratios of reflected and transmitted waves are also obtained. A numerical example of the present model is considered to illustrate the effects of rotation on the speeds and energy ratios graphically.
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Authors and Affiliations

Baljeet Singh
1
Asha Sangwan
2
Jagdish Singh
3

  1. Department of Mathematics, Post Graduate Government College, Sector 11, Chandigarh, 160011, India
  2. Department of Mathematics, Government College, Sampla, Rohtak, 124001, Haryana, India
  3. Department of Mathematics, Maharshi Dayanand University, Rohtak, 124001, Haryana, India
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Abstract

Through taking the cold rolling process as the research object, the three-dimensional finite element model of the strip rolling process is established by using ANSYS/LS-DYNA software. The actual rolling product data has strong consistency with the finite element simulation results. The rolling process is dynamically simulated, and the distribution curves of important rolling parameters such as equivalent stress, control efficiency coefficient, transverse rolling pressure, lateral thickness and work roll deflection is obtained. Based on summarizing the influence of rolling parameters on rolling deformation, the research results of this paper can play an important role in the actual rolling process control. The research results have certain guiding significance for the development and optimization of the rolling control system.
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Authors and Affiliations

Zhu-Wen Yan
1
ORCID: ORCID
Bao-Sheng Wang
1
ORCID: ORCID
He-Nan Bu
2
ORCID: ORCID
Hao Li
1
ORCID: ORCID
Lei Hong
1
ORCID: ORCID
Dian-Hua Zhang
3
ORCID: ORCID

  1. Nanjing Institute of Technology, Industrial Technology Research Institute of Intelligent Equipment, Jiangsu Provincial Engineering Laboratoryof Intelligent Manufacturing Equipment, Nanjing 211167, Peoples R China
  2. Jiangsu University of Science and Technology, School of Mechanical Engineering, Zhenjiang 212003, Peoples R China
  3. Northeastern University, State Key Laboratory of Rolling and Automation, 3-11 Wenhua Road, Shenyang, Peoples R China

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