On the Replicability of the Empirical Constant Stiffness Force-Crush Model using a Mechanics of Materials Approach 2007-01-0747
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.
Citation: Singh, 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. Download Citation
Author(s):
Jai Singh, John Perry
Pages: 14
Event:
SAE World Congress & Exhibition
ISSN:
0148-7191
e-ISSN:
2688-3627
Also in:
Accident Reconstruction 2007-SP-2063
Related Topics:
Simulation and modeling
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