Salinas : theory manual.

Abstract

Salinas provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Salinas. For a more detailed description of how to use Salinas , we refer the reader to Salinas, User's Notes.Many of the constructs in Salinas are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Salinas are specific to our implementation. We try to be far more complete in those areas.The theory manual was developed from several sources including general notes, a programmer notes manual, the user's notes and of course the material in the open literature.3 4

Three-dimensional transient elastodynamic inversion using an error in constitutive relation functional

“…In this section, we present numerical experiments on imaging the bulk modulus B and the shear modulus G of isotropic heterogeneous elastic media, whose elasticity tensor is therefore of the form (43), under 2D or 3D transient elastodynamic conditions, to illustrate the performance of the proposed transient MECR method and the influence of the main algorirhmic parameters. In all examples, displacements are used as measured quantities and the generalized-α time-stepping algorithm is used with α = θ = 0, β = 1/4 and γ = 1/2, i.e.…”

“…The block SOR approach of section 4 has the significant advantage of being easily implementable in existing finite element codes. We used the code Salinas (recently re-named SIERRA/SDA) [8,43], which has massively parallel capabilities including efficient multilevel domain decomposition strategies for solving linear systems [14].…”