A unified mechanics theory-based model for temperature and strain rate dependent proportionality limit stress of mild steel

M, Noushad Bin Jamal; Rao, C. Lakshmana; Basaran, Cemal

doi:10.1016/j.mechmat.2021.103762

Cited by 11 publications

(3 citation statements)

References 18 publications

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“…UMT was used for fatigue life prediction under thermo-mechanical loading [83,97,[103][104][105][106][107][108][109][110][111][112][113][114][115][116][117]. Life prediction simulations were validated by experiments.…”

Section: Physics Based Evolution Functions: Unified Mechanics Theorymentioning

confidence: 99%

A Review of Damage, Void Evolution, and Fatigue Life Prediction Models

Lee

Basaran

2021

Metals

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Degradation, damage evolution, and fatigue models in the literature for various engineering materials, mostly metals and composites, are reviewed. For empirical models established under the framework of Newtonian mechanics, Gurson–Tvergaard–Needleman (GTN) type model, Johnson-Cook (J-C) type damage model, microplasticity model, some other micro-mechanism based damage models, and models using irreversible entropy as a metric with an empirical evolution function are thoroughly discussed. For Physics-based models, the development and applications of unified mechanics theory is reviewed.

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Section: Physics Based Evolution Functions: Unified Mechanics Theorymentioning

confidence: 99%

A Review of Damage, Void Evolution, and Fatigue Life Prediction Models

Lee

Basaran

2021

Metals

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“…Hence, the unified mechanics' theory (UMT) explicitly introduces a new linearly independent axis in addition to Newtonian coordinates, x, y, z, and time [9,10].This concept was introduced [8][9][10][11] based on Boltzmann's statistical relation of entropy with the probability of microstates within the system. Several published works can be seen in the literature, which address various types of dissipation processes, such as fatigue in metals [8,[10][11][12], electromigration and thermomigration in nanoelectronics [13][14][15], damage in eutectic Pb/Sn solder joints [16][17][18], micromechanics of thermally induced dislocation annihilation [19], damage evolution in a particle-filled polymer matrix composite [20], damage due to concurrent thermal and vibration loading in electronic packaging [21], damage due to nanoindentation [22], etc. The TSI, Φ represents an index called Thermodynamic State Index (TSI), as shown in Figure 1, which is a linearly independent axis, spanning between zero and one.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Equilibrium Equations in Unified Mechanics Theory

Lee

Rao

et al. 2021

Applied Mechanics

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Traditionally dynamic analysis is done using Newton’s universal laws of the equation of motion. According to the laws of Newtonian mechanics, the x, y, z, space-time coordinate system does not include a term for energy loss, an empirical damping term “C” is used in the dynamic equilibrium equation. Energy loss in any system is governed by the laws of thermodynamics. Unified Mechanics Theory (UMT) unifies the universal laws of motion of Newton and the laws of thermodynamics at ab-initio level. As a result, the energy loss [entropy generation] is automatically included in the laws of the Unified Mechanics Theory (UMT). Using unified mechanics theory, the dynamic equilibrium equation is derived and presented. One-dimensional free vibration analysis with frictional dissipation is used to compare the results of the proposed model with that of a Newtonian mechanics equation. For the proposed entropy generation equation in the system, the trend of predictions is comparable with the reported experimental results and Newtonian mechanics-based predictions.

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“…In 1998, Basaran and Yan [13] introduced the UMT, which unifies Newtonian mechanics and thermodynamics. The laws of UMT and its application for a wide range of materials can be seen in the literature [14][15][16][17]. The entropy generation rate of any material under any external disturbances such as mechanical, thermal, electrical, chemical, etc., can be calculated from the fundamentals principles of physics.…”

Section: Introductionmentioning

confidence: 99%

Fatigue life prediction in nickel-based superalloys using unified mechanics theory

Kumar

Rao

2021

Int J Adv Eng Sci Appl Math

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Under strain-controlled cyclic loading at elevated temperature (650 °C), the low-cycle fatigue behavior of an advanced nickel-based superalloy (RR1000) has been studied. In the current study, a unified mechanics theory (UMT)-based model is presented and applied to predict the fatigue life of nickel-based superalloy (RR1000). Entropy is used as a damage metric in the fatigue life prediction of material in the present study. The entropy generation rate under the mechanical loading conditions is calculated by considering plastic deformation as the governing mechanism for dissipation. Using the UMT, damage in nickelbased superalloy (RR1000) is evaluated to predict lowcycle fatigue life. Also, the stress-strain hysteresis loop prediction has been done at any strain amplitude without making use of curve-fitting phenomenological models. The hysteresis loops can be predicted at any given number of cycles for all strain amplitudes using UMT without doing complete fatigue experiments, which in turn reduces the efforts and costs of the cumbersome fatigue experiments.

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A unified mechanics theory-based model for temperature and strain rate dependent proportionality limit stress of mild steel

Cited by 11 publications

References 18 publications

A Review of Damage, Void Evolution, and Fatigue Life Prediction Models

A Review of Damage, Void Evolution, and Fatigue Life Prediction Models

Dynamic Equilibrium Equations in Unified Mechanics Theory

Fatigue life prediction in nickel-based superalloys using unified mechanics theory

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