Closed form solution of the return mapping algorithm in elastoplasticity

In the present work a return mapping algorithm is discussed for small strain elastoplasticity boundary value problems with an exact closed form solution of the local constitutive equations. Nonlinear kinematic hardening rules are adopted in modelling kinematic hardening behavior of ductile materials. The local solution of the constitutive equations is expressed by only one nonlinear scalar equation which is subsequently reduced to a single variable algebraic equation. Due to the straightforward form of the nonlinear scalar equation the analytical solution of the algebraic equation is found in exact closed form. A remarkable advantage of the present approach is that no iterative solution method is used to solve the local constitutive equations in three-dimensional elastoplasticity. Numerical applications and computational results are reported in order to illustrate the robustness and effectiveness of the proposed algorithmic procedure

Nonlinear static and dynamic analysis of mixed cable elements

This paper presents a family of finite elements for the nonlinear static and dynamic analysis of cables based on a mixed variational formulation in curvilinear coordinates and finite deformations. This formulation identifies stress measures, in the form of axial forces, and conjugate deformation measures for the nonlinear catenary problem. The continuity requirements lead to two distinct implementations: one with a continuous axial force distribution and one with a discontinuous. Two examples from the literature on nonlinear cable analysis are used to validate the proposed formulation for St VenantKirchhoff elastic materials. These studies show that displacements and axial forces are captured with high accuracy for both the static and the dynamic case

Federal District Court Decision in Hiram G. Hill, Jr. et al. v. Tennessee Valley Authority, Civ. No. 3-76-48.

Federal District Court decision in the case of TVA v. Hill. The court decided against the plaintiffs, allowing the TVA to continue construction of the Tellico Dam. This decision was published in West\u27s Federal Supplement at 419 F.Supp. 753 (1976)

Granting of Temporary Injunction in Environmental Defense Fund et al., v. Tennessee Valley Authority, Aubrey J. Wagner, Chairman, Tennessee Valley Authority, Civ. A. No. 7720

Federal District Court decision ruling on a request for preliminary injunction in the case of EDF v. TVA. The injunction was granted, temporarily halting most work related to the construction of the Tellico Dam during the period before the court rendered its verdict on the case. This decision was published in West\u27s Federal Supplement at 339 F.Supp. 806 (1972)

Federal District Court Order in United States Ex Rel. T.V.A v. Two Tracts of Land, Etc., No. 7428

Federal district court order in the case of United States Ex Rel. T.V.A v. Two Tracts of Land, Etc. in the United States District Court for the Eastern District of Tennessee, Northern Division

Federal District Court Decision in Sequoyah v. Tennessee Valley Authority, Civ. No. 3-79-418

Federal District Court decision in the case of Ammoneta Sequoyah, Richard Crowe, Gilliam Jackson, Individually and Representing Other Cherokees similarly situated, and the Eastern Band of Cherokee Indians, and The United Ketooah Band of Cherokee Indians v. Tennessee Valley Authority. The decision grants TVA\u27s motion to dismiss the plaintiffs\u27 claim and allows the construction of the Tellico Dam to go forward. This case was published in West\u27s Federal Supplement at 480 F.Supp. 608 (1979)

Daze fasteners

A daze fastener system for connecting two or more structural elements wherein the structural elements and fastener parts have substantially different coefficient of thermal expansion physical property characteristics is employed in this invention. By providing frusto-conical abutting surfaces between the structural elements and fastener parts any differences in thermal expansion/contraction between the parts is translated to sliding motion and avoids deleterious thermal stresses in the connection. An essential feature for isotropic homogeneous material connections is that at least two sets of mating surfaces are required wherein each set of mating surfaces has line element extensions that pass through a common point

Insurance

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