ACONSTRUCTAL LAW APPLIED TO PROOF MAXIMUM WORK PRINCIPLE. CONSEQUENCES ON CONVEXITY AND NORMAL RULE OF BULKING PLASTICITY & SURFACE FRICTION POTENTIAL TOGETHER WITH ESTIMATION OF REAL THERMO-MECHANICAL POWER DURING CONTINUUM MEDIA FLOWS

Authors

DOI:

https://doi.org/10.59277/CLC.2024.34

Keywords:

Maximum work “Principle” proof, Bulk plasticity, Surface friction, Potential convexity and normal rule, Thermomechanical power estimation

Abstract

Following the author's previous studies, this scientific article uses the proof of the “Principle” of Maximum Work (PMW), used in metals plasticity theory and surface tribology, through a more general mathematical framework starting from the fundamental Constructal Law. In this paper, the author focuses on the mathematical proof of convexity and normal rule properties of both plastic and friction flow criteria. 

References

(1) Avitzur B., Metal Forming: Processes and Analysis, New-York, McGraw-Hill, 1968.

(2) Bejan A., Shape and Structure: From Engineering to Nature, UK, Cambridge Univ., 2000.

(3) Bejan A., Lorente S., Design with Constructal Theory, New Jersey, John Willey & Sons, 2008.

(4) Gavrus A., The Maximum work principle regarded as a consequence of an optimization problem based on mechanical virtual power principle and application of constructal theory, AIP Conf. Proc. Vol. 1896, pp. 100009-1-6, 2017.

(5) Gavrus A., Application of constructal theory to write mechanical maximum work principle and equilibrium state of continuum media flow as a solution of a variational optimization problem, Int. Revue IJMO, 8, 4, pp. 227–231 (2018).

(6) Pîrva E., Tudor A., Gavrus A., Stoica N., Cananau S., Some aspects regarding the influence of the anisotropy of an AA2021-T351 rolled thick plate on its tribological behaviour, Mechanics & Industry, 20, 6 (2019).

(7) Gavrus A., Computational framework concerning the formulation of maximum work principle used in plasticity, materials forming and tribology as a consequence of a variational optimization problem defined from the constructal law, IOP Conf. Series: Mat. Sci. and Eng., Vol. 968, 2020.

(8) Gavrus A., Use of the constructal law to prove the maximum work “Principle” defining plasticity, contact friction and continuum media flow using a variational optimization framework. Application to extrusion power estimation, Int. CLC 2023 Conf., Turin, Italy, 21–22 September 2023.

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Published

18.12.2024

How to Cite

ACONSTRUCTAL LAW APPLIED TO PROOF MAXIMUM WORK PRINCIPLE. CONSEQUENCES ON CONVEXITY AND NORMAL RULE OF BULKING PLASTICITY & SURFACE FRICTION POTENTIAL TOGETHER WITH ESTIMATION OF REAL THERMO-MECHANICAL POWER DURING CONTINUUM MEDIA FLOWS. (2024). 14th CONSTRUCTAL LAW CONFERENCE | 10-11 October 2024, Bucharest, Romania, 2024(1), 133-136. https://doi.org/10.59277/CLC.2024.34