论文信息 - On sufficiency conditions for optimal design based on extremum principles of mechanics

On sufficiency conditions for optimal design based on extremum principles of mechanics

Different results for optimal design can be obtained from the stationarity and extremum principles of mechanics. With focus on second order derivatives, these results are derived and discussed. The important problem of material orientation is then used to exemplify the development, and the similarities arising from working with modulus and compliance matrices are pointed out. For 2D-orthotropic materials an interesting classification is presented.

Pauli Pedersen | Gengdong Cheng | G. Cheng | P. Pedersen

[1] Ernest F. Masur,et al. Optimum Stiffness and Strength of Elastic Structures , 1970 .

[2] M. Bendsøe,et al. Shape optimization of structures for multiple loading conditions using a homogenization method , 1992 .

[3] Cheng Kengtung,et al. SENSITIVITY ANALYSIS AND A MIXED APPROACH TO THE OPTIMIZATION OF SYMMETRIC LAYERED COMPOSITE PLATES , 1986 .

[4] Pauli Pedersen,et al. Simple transformations by proper contracted forms: Can we change the usual practice? , 1995 .

[5] Stephen C. Cowin,et al. Optimization of the strain energy density in linear anisotropic elasticity , 1994 .

[6] P. Pedersen. Bounds on elastic energy in solids of orthotropic materials , 1990 .

[7] Pauli Pedersen,et al. Optimal design based on power-law non-linear elasticity , 1993 .

[8] Pauli Pedersen,et al. Optimal Design with Advanced Materials , 1991 .

[9] Pauli Pedersen,et al. On thickness and orientational design with orthotropic materials , 1991 .

[10] P. Pedersen. On optimal orientation of orthotropic materials , 1989 .