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On the Replicability of the Empirical Constant Stiffness Force-Crush Model using a Mechanics of Materials Approach
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 16, 2007 by SAE International in United States
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The subject theoretical study was undertaken with the purpose of determining the replicability, using a mechanics of materials approach, of the energy absorbed term associated with the B stiffness coefficient of the empirical constant stiffness force-crush model. For the non-restitutive case, it is shown that this term can be derived exactly using a plane rectangular bilinear element formulation with appropriately prescribed nodal displacements and a constitutive formulation based on the linear isotropic model but with the enforcement of zero values for both the shear modulus and the Poisson's ratio. The analytical closed-form solution for the non-restitutive plane stress model with two translational degrees of freedom per node coupled with a fully developed linear elastic formulation is also derived. An example is included to show the implementation of these models.
CitationSingh, J. and Perry, J., "On the Replicability of the Empirical Constant Stiffness Force-Crush Model using a Mechanics of Materials Approach," SAE Technical Paper 2007-01-0747, 2007, https://doi.org/10.4271/2007-01-0747.
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