Open AccessPapkovitch Neuber Type Solutions for Viscoelasticity
Author(s) -
Weixin Zhang,
LM Yang
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.179
H-Index - 26
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/560/1/012025
Subject(s) - viscoelasticity , cantilever , moment (physics) , bending moment , stress (linguistics) , boundary value problem , deformation (meteorology) , displacement (psychology) , bending , boundary (topology) , structural engineering , mathematics , mathematical analysis , materials science , engineering , classical mechanics , physics , composite material , psychology , linguistics , philosophy , psychotherapist
For viscoelastic problems, Saint Venant solution can only satisfy the boundary conditions in the mean sense, while the local effect solution describes the stress and deformation in the local area near the load. In many practical problems, we only care about the effect of load on the whole material and structure, and the effect of local effect solution is often ignored. However, for some special cases, such as the cantilever beam with free end under bending moment, the stress at the fixed end is not uniformly distributed due to the restriction of displacement conditions, especially the stress at the upper and lower edges is far greater than the average stress on the cross section, so the local solution plays an important role.