Department

Home Selected publications On minimum compliance problems of thin elastic plates of varying thickness
On minimum compliance problems of thin elastic plates of varying thickness PDF Print E-mail
On minimum compliance problems of thin elastic plates of varying thickness
S. Czarnecki, T. Lewiński
Structural and Multidisciplinary Optimization
Read online>>

The paper deals with two minimum compliance problems of variable thickness plates subject to an in-plane loading or to a transverse loading. The first of this problem (called also the variable thickness sheet problem) is reduced to the locking material problem in its stress-based setting, thus interrelating the stress-based formulation by Allaire (2002) with the kinematic formulation of Golay and Seppecher (Eur J Mech A Solids 20:631–644, 2001). The second problem concerning the Kirchhoff plates of varying thickness is reduced to a non-convex problem in which the integrand of the minimized functional is the square root of the norm of the density energy expressed in terms of the bending moments. This proves that the problem cannot be interpreted as a problem of equilibrium of a locking material. Both formulations discussed need the numerical treatment in which stresses (bending moments) are the main unknowns.
 

Department seminars

No current events.

<<  December 2021  >>
 Mo  Tu  We  Th  Fr  Sa  Su 
    1  2  3  4  5
  6  7  8  9101112
13141516171819
20212223242526
2728293031  

Conferences

No current events.

Books

bim-o.png

Z galerii Katedry

Home Selected publications On minimum compliance problems of thin elastic plates of varying thickness
We have 209 guests online

Statistics

Content View Hits : 2599939