A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations

X. Zhou; D. Sha; Kumar K Tamma

A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations

X. Zhou, D. Sha, Kumar K Tamma

Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

The structural dynamic models for finite deformation hypoelasticity/hypoelasto-plasticity problems were discussed. A nonlinearly explicit second-order accurate L-stable methodology and implementation procedures for total/updated Lagrangian formulations to analyze the models were presented. An explicit exact integration procedure for a particular rate form constitutive equation for the problems was provided. Results of a numerical example showed the robustness of the developments for nonlinear dynamic applications.

Original language	English (US)
Pages (from-to)	810-820
Number of pages	11
Journal	Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume	2
State	Published - 2002
Event	43rd Structures, Structural Dynamics and Materials Conference - Denver, CO, United States Duration: Apr 22 2002 → Apr 25 2002

Find It

Find It at U of M Libraries

Cite this

A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations. / Zhou, X.; Sha, D.; Tamma, Kumar K.
In: Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Vol. 2, 2002, p. 810-820.

Research output: Contribution to journal › Conference article › peer-review

Zhou, X. ; Sha, D. ; Tamma, Kumar K. / A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations. In: Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2002 ; Vol. 2. pp. 810-820.

@article{9adeafd32e8d41beb1a5120658b4583b,

title = "A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations",

abstract = "The structural dynamic models for finite deformation hypoelasticity/hypoelasto-plasticity problems were discussed. A nonlinearly explicit second-order accurate L-stable methodology and implementation procedures for total/updated Lagrangian formulations to analyze the models were presented. An explicit exact integration procedure for a particular rate form constitutive equation for the problems was provided. Results of a numerical example showed the robustness of the developments for nonlinear dynamic applications.",

author = "X. Zhou and D. Sha and Tamma, {Kumar K}",

year = "2002",

language = "English (US)",

volume = "2",

pages = "810--820",

journal = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",

issn = "0273-4508",

publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",

note = "43rd Structures, Structural Dynamics and Materials Conference ; Conference date: 22-04-2002 Through 25-04-2002",

}

TY - JOUR

T1 - A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations

AU - Zhou, X.

AU - Sha, D.

AU - Tamma, Kumar K

PY - 2002

Y1 - 2002

N2 - The structural dynamic models for finite deformation hypoelasticity/hypoelasto-plasticity problems were discussed. A nonlinearly explicit second-order accurate L-stable methodology and implementation procedures for total/updated Lagrangian formulations to analyze the models were presented. An explicit exact integration procedure for a particular rate form constitutive equation for the problems was provided. Results of a numerical example showed the robustness of the developments for nonlinear dynamic applications.

AB - The structural dynamic models for finite deformation hypoelasticity/hypoelasto-plasticity problems were discussed. A nonlinearly explicit second-order accurate L-stable methodology and implementation procedures for total/updated Lagrangian formulations to analyze the models were presented. An explicit exact integration procedure for a particular rate form constitutive equation for the problems was provided. Results of a numerical example showed the robustness of the developments for nonlinear dynamic applications.

UR - http://www.scopus.com/inward/record.url?scp=0036078992&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036078992&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0036078992

SN - 0273-4508

VL - 2

SP - 810

EP - 820

JO - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

JF - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

T2 - 43rd Structures, Structural Dynamics and Materials Conference

Y2 - 22 April 2002 through 25 April 2002

ER -

A novel nonlinearly explicit second-order accurate L-stable methodology for finite deformation hypoelastic/hypoelasto-plastic structural dynamics problems with total/updated Lagrangian formulations

Abstract

Find It

Other files and links

Fingerprint

Cite this