### Abstract

The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

Original language | English |
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Pages (from-to) | 142-146 |

Number of pages | 5 |

Journal | Materials Physics and Mechanics |

Volume | 36 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

### Scopus subject areas

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Materials Science(all)

### Cite this

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**STRESS-STRAIN STATE IN THE CORNER POINTS OF A CLAMPED PLATE UNDER UNIFORMLY DISTRIBUTED NORMAL LOAD.** / Matrosov, Alexander V. ; Suratov, Vladislav A. .

Research output

TY - JOUR

T1 - STRESS-STRAIN STATE IN THE CORNER POINTS OF A CLAMPED PLATE UNDER UNIFORMLY DISTRIBUTED NORMAL LOAD

AU - Matrosov, Alexander V.

AU - Suratov, Vladislav A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

AB - The bending of a rectangular clamped thin plate under the uniformly distributed transverse load is considered. The solution of the Sophie Germaine equation is constructed by the method of initial functions (MIF). On two opposite sides the boundary conditions are satisfied exactly. Then, on the two remaining ones, the boundary conditions are satisfied approximately by the collocation method. The results of calculations of the stress-strain state at the corner points of the plate are given.

KW - method of initial functions

KW - bending of a plate clamped

KW - corner points

KW - RECTANGULAR PLATE

KW - Bending of a plate clamped

KW - Corner points

KW - Method of initial functions

UR - http://www.scopus.com/inward/record.url?scp=85046733078&partnerID=8YFLogxK

U2 - 10.18720/MPM.3612018_16

DO - 10.18720/MPM.3612018_16

M3 - статья

VL - 36

SP - 142

EP - 146

JO - ФИЗИКА И МЕХАНИКА МАТЕРИАЛОВ

JF - ФИЗИКА И МЕХАНИКА МАТЕРИАЛОВ

SN - 1605-8119

IS - 1

ER -