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On the Pure Mathematical Aspects in Mathematical Models of some Metal Forming Processes

Result description

We shortly present some aspects of the number theory, group theory and theory of partial differential equations as they are revealed by original mathematical models of typical metal forming processes. We show that the so called central embedding problemsover a number field is especially concerned in some revised form that correlates with the wave equation operator (d´Alembert operator first of all). This is typical for metal forming process like the Mannesmann-piercing process, where a rotating round hot metal semiproduct is pierced by means of the piercing plug ?between? two rotating conical rolls

Keywords

Centralembeddingproblemdifferentialoperatorstelegraphequation

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    On the Pure Mathematical Aspects in Mathematical Models of some Metal Forming Processes

  • Original language description

    We shortly present some aspects of the number theory, group theory and theory of partial differential equations as they are revealed by original mathematical models of typical metal forming processes. We show that the so called central embedding problemsover a number field is especially concerned in some revised form that correlates with the wave equation operator (d´Alembert operator first of all). This is typical for metal forming process like the Mannesmann-piercing process, where a rotating round hot metal semiproduct is pierced by means of the piercing plug ?between? two rotating conical rolls

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    JG - Metallurgy, metal materials

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Mathematical Theory and Modeling

  • ISSN

    2224-5804

  • e-ISSN

  • Volume of the periodical

    2

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    CN - CHINA

  • Number of pages

    10

  • Pages from-to

    54-63

  • UT code for WoS article

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

JG - Metallurgy, metal materials

Year of implementation

2012