Bond Graph Modeling of Continuous Solids in Finite Strain Elastic-Plastic Deformation

The physical systems modeling theory of bond graphs may be employed to represent the hysteretic deformation of continuous solids infinite strain elastic-plastic deformation. Second and fourth order tensors represent stress power conjugate variables and transformer or gyrator moduli, respectively, wi...

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Bibliographic Details
Published in:Journal of dynamic systems, measurement, and control measurement, and control, 1988-09, Vol.110 (3), p.284-287
Main Authors: Fahrenthold, E. P, Wu, A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:The physical systems modeling theory of bond graphs may be employed to represent the hysteretic deformation of continuous solids infinite strain elastic-plastic deformation. Second and fourth order tensors represent stress power conjugate variables and transformer or gyrator moduli, respectively, with corresponding inner products generalizing the power flow and modulation calculations of scalar and vector bond graphs. Capacitors and resistors of a tensor type suitably represent strain energy storage, associated flow rules in plasticity, and other familiar concepts. An important application of this simulation technique arises in constitutive modeling studies of nonlinear materials.
ISSN:0022-0434
1528-9028
DOI:10.1115/1.3152683