On optimal orientation of nonlinear elastic orthotropic materials

Optimal material orientation of nonlinear orthotropic materials

“…This important result gives the possibility for localized calculation of sensitivities. The sensitivity for the material model determined by a stress-strain relation in the form of a series expansion is studied in [3]. It is pointed out in the present paper that the sensitivity results obtained in [3] hold for materials whose behavior is simulated on the basis of a logarithmic stress-strain relation.…”

“…The sensitivity for the material model determined by a stress-strain relation in the form of a series expansion is studied in [3]. It is pointed out in the present paper that the sensitivity results obtained in [3] hold for materials whose behavior is simulated on the basis of a logarithmic stress-strain relation. The combined design of orientation and thickness is treated in [6] and [8].…”

“…Here the matrix [C] is symmetric and positive definite, i.e., Cll > 0, C22 > 0, C68 > 0, (1.2) C~Cu -C~2 >.a (1.31 OrientationaI design of nonlinear elastic materials is studied in [3,6,8]. rn [6] and [2J the relation between the sensitivity of total elastic energy and the sensitivity of energy density corresponding to a fixed strain field is established for linear elastic as well as nonlinear elastic materials, based on power law expansion with one term.…”

Nonlinear constitutive behavior of orthotropic materials

“…It was shown in [5,6] that the appropriate determination of coefticients allows one to prescribe the material behavior in both ways with sufficient accuracy.…”

“…The authors [5,6] used the power law in the form of a series expansion and the logarithmic stress strain relationship, respectively. It was shown in [5,6] that the appropriate determination of coefticients allows one to prescribe the material behavior in both ways with sufficient accuracy.…”