Mathematical models for stress-strain curve prediction-a review

Ahmad, J.; Noor, Mohd Jamaludin Md; Jais, Ismacahyadi Bagus Mohamed; Rosli, Mohd Ikmal Fazlan; Rahman, Abdul Samad Abdul; Senin, Syahrul Fithry; Ibrahim, Azmi; Hadi, Basharudin Abdul

doi:10.1063/1.5062631

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…The well-known equation for this is F=k*ε, where F represents force, k represents slope, and ε represents elongation. The constant and the displacement are the only two necessary parameters [14].…”

Section: Modelling the Tensile Behaviour Of Woven Fabric With The Mat...mentioning

confidence: 99%

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Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models

Marasovic

Penava

2022

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To avoid fabric deformations due to plastic deformations, it is vital to predict how the fabric will behave under load in advance. This was the starting idea for the conducted research. The basic physical and mechanical properties of plain-weave fabric samples with the same density of warp and weft and in various angles were investigated in this paper. A comparison of the experimental and computational modulus of elasticity was performed. Based on the experimental results, a mathematical model and the corresponding mathematical equations of the stress-strain curve for the examined fabric samples were set up. Finally, a statistical analysis of the models and an evaluation of the parameters and representative indicators of the mathematical models have been implemented. The experimental values of the stress-strain curves are well described by all three of the chosen models. Still, mathematical model number three M3 is best suited and can be used with great accuracy in the theoretical calculation of breaking force and elongation for the selected type of fabric.

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Section: Modelling the Tensile Behaviour Of Woven Fabric With The Mat...mentioning

confidence: 99%

“…• The required parameter must be obtained easily from standard tests so that the applicability of the model will not be hindered by the non-standard experiment that is hard to replicate [14].…”

Section: Modelling the Tensile Behaviour Of Woven Fabric With The Mat...mentioning

confidence: 99%

Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models

Marasovic

Penava

2022

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“…In the past few years, mathematical models have been adopted to study the stress-strain response of soils [23][24][25][26][27][28][29][30][31]. In term of the stress-strain behaviors of cemented soil, a large number of researches have been reported [2,3,5,6,[13][14][15][16][17][18][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Models for Stress–Strain Behavior of Nano Magnesia-Cement-Reinforced Seashore Soft Soil

Wang

Zhang

et al. 2020

Mathematics

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The stress–strain behavior of nano magnesia-cement-reinforced seashore soft soil (Nmcs) under different circumstances exhibits various characteristics, e.g., strain-hardening behavior, falling behavior, S-type falling behavior, and strong softening behavior. This study therefore proposes a REP (reinforced exponential and power function)-based mathematical model to simulate the various stress–strain behaviors of Nmcs under varying conditions. Firstly, the mathematical characteristics of different constitutive behaviors of Nmcs are explicitly discussed. Secondly, the conventional mathematical models and their applicability for modeling stress–strain behavior of cemented soil are examined. Based on the mathematical characteristics of different stress–strain curves and the features of different conventional models, a simple mathematical REP model for simulating the hardening behavior, modified falling behavior and strong softening behavior is proposed. Moreover, a CEL (coupled exponential and linear) model improved from the REP model is also put forth for simulating the S-type stress–strain behavior of Nmcs. Comparisons between conventional models and the proposed REP-based models are made which verify the feasibility of the proposed models. The proposed REP-based models may facilitate researchers in the assessment and estimation of stress–strain constitutive behaviors of Nmcs subjected to different scenarios.

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Stress–strain parameter prediction method for AWJ technology from surface topography

Valíček

Harničárová

Kušnerová

et al. 2023

Int J Adv Manuf Technol

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The presented publication is based on the interaction of the material core and its surface during the machining process with a hydro abrasive flexible cutting tool (AWJ). In the AWJ technology, a cold cut is generated; therefore, there are no thermal stresses on the newly formed surface and, consequently, no significant internal and residual stresses. The cut is identifiable by directly measurable parameters: depth of cut, deviation of the cut path from the normal plane, and surface roughness. These geometric parameters are interdependent at each cut zone point and simultaneously dependent on a newly proposed, indirectly measurable material parameter, Kplmat. Although the deviation angle of the cutting path from the normal plane increases with increasing depth of cut, the ratio of the “material plasticity” Kplmat and the surface roughness Ra of the cutting surface remains equivalent to the ratio of the depth of cut and the deviation of the cutting path from the normal plane. Based on the proposed concept, an entirely new approach to the problem of material surface integrity is presented by the method of identification of mechanical equivalents and their functional transformation. The solution to the subject problem is based on the fact that the technological process of machined material decomposition specifically and identically “copies” the surface properties of the material, i.e. records its technological inheritance. The material properties can then be “read retrospectively” reliably and accurately using the recording.

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Mathematical models for stress-strain curve prediction-a review

Cited by 4 publications

References 22 publications

Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models

Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models

Mathematical Models for Stress–Strain Behavior of Nano Magnesia-Cement-Reinforced Seashore Soft Soil

Stress–strain parameter prediction method for AWJ technology from surface topography

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