Numerically integrable wave (characteristic) equations governing quasi-linear material motion are derived in generalized spatial curvilinear coordinates. The material under consideration is assigned an isentropic hypoelastic/compressible visco-perfectly plastic flow behavior where geometrical nonlinearities prevail throughout, while finite strains correspond only to the anelastic component of the constitutive equation. The characteristics formulation for the flow is derived under a tensor approach, based on those discontinuity relations that are compatible with the geometric description of hyperbolic partial differential equations. Results for spatial multidimensional integration schemes are presented in the form of nonlinear characteristic equations along their orthogonal path of integration (bicharacteristic curves) varying according to wave speed.
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September 1977
Research Papers
Integrable Generalized Wave Equations Exhibiting a Hypoelastic Compressible Rate-Sensitive Material Flow
M. Ziv
M. Ziv
Department of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa, Israel
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M. Ziv
Department of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa, Israel
J. Appl. Mech. Sep 1977, 44(3): 419-423 (5 pages)
Published Online: September 1, 1977
Article history
Received:
October 1, 1976
Revised:
February 1, 1977
Online:
July 12, 2010
Citation
Ziv, M. (September 1, 1977). "Integrable Generalized Wave Equations Exhibiting a Hypoelastic Compressible Rate-Sensitive Material Flow." ASME. J. Appl. Mech. September 1977; 44(3): 419–423. https://doi.org/10.1115/1.3424094
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