Relevant bibliographies by topics / NONLINEAR STRAINS

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Academic literature on the topic 'NONLINEAR STRAINS'

Author: Grafiati
Published: 11 September 2023

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Journal articles on the topic "NONLINEAR STRAINS"

1

Zhu, Haihui, Yanli Lin, Kelin Chen, and Zhubin He. "Forming Limit Analysis of Thin-Walled Extruded Aluminum Alloy Tubes under Nonlinear Loading Paths Using an Improved M-K Model." Materials 16, no. 4 (2023): 1647. http://dx.doi.org/10.3390/ma16041647.

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To meet the requirement of lighter weight and better performance in tube hydroforming, one of the most important tasks is to accurately predict the forming limit of thin-walled tubes under nonlinear loading paths. This work established the M-K+DF2012 model, a combination of the M-K model and the DF2012 ductile fracture criterion, for the forming limit prediction of thin-walled tubes under nonlinear loading paths. In this model, the failure of the groove is determined by the DF2012 criterion, and the corresponding strains in the uniform region are the limit strains. The limit strains of an AA6061 aluminum alloy tube under a set of linear loading paths and two typical nonlinear loading paths were tested. Parameter values of the M-K+DF2012 model for the tube were determined based on the experimental limit strains under linear loading paths, and the limit strains under the two nonlinear loading paths were predicted. Then the strain-based forming limit diagram (ε-FLD) and the polar effective plastic strain FLD (PEPS-FLD) of the tube under different pre-strains were predicted and discussed. The results show that the limit strains of the tube are obviously path-dependent, and the M-K+DF2012 model can reasonably capture the limit strains of the tube under both linear and nonlinear loading paths. The predicted ε-FLD shows a strong dependence on the pre-strain, while the predicted PEPS-FLD is weakly strain path-dependent and almost path-independent on the right-hand side for the AA6061 tube.
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2

Morgan, Elise F., Oscar C. Yeh, Wesley C. Chang, and Tony M. Keaveny. "Nonlinear Behavior of Trabecular Bone at Small Strains." Journal of Biomechanical Engineering 123, no. 1 (2000): 1–9. http://dx.doi.org/10.1115/1.1338122.

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Study of the behavior of trabecular bone at strains below 0.40 percent is of clinical and biomechanical importance. The goal of this work was to characterize, with respect to anatomic site, loading mode, and apparent density, the subtle concave downward stress–strain nonlinearity that has been observed recently for trabecular bone at these strains. Using protocols designed to minimize end-artifacts, 155 cylindrical cores from human vertebrae, proximal tibiae, proximal femora, and bovine proximal tibiae were mechanically tested to yield at 0.50 percent strain per second in tension or compression. The nonlinearity was quantified by the reduction in tangent modulus at 0.20 percent and 0.40 percent strain as compared to the initial modulus. For the pooled data, the mean±SD percentage reduction in tangent modulus at 0.20 percent strain was 9.07±3.24 percent in compression and 13.8±4.79 percent in tension. At 0.40 percent strain, these values were 23.5±5.71 and 35.7±7.10 percent, respectively. The magnitude of the nonlinearity depended on both anatomic site p<0.001 and loading mode p<0.001, and in tension was positively correlated with density. Calculated values of elastic modulus and yield properties depended on the strain range chosen to define modulus via a linear curve fit p<0.005. Mean percent differences in 0.20 percent offset yield strains were as large as 10.65 percent for some human sites. These results establish that trabecular bone exhibits nonlinearity at low strains, and that this behavior can confound intersite comparisons of mechanical properties. A nonlinear characterization of the small strain behavior of trabecular bone was introduced to characterize the initial stress–strain behavior more thoroughly.
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3

Guo, Minrui, Xiangwen Li, and Weizhong Xiao. "Combined Effects of the Tire Loading Velocity and the Nonlinear Cross-Anisotropic Properties of Granular Base on Critical Pavement Responses." Science of Advanced Materials 14, no. 1 (2022): 11–21. http://dx.doi.org/10.1166/sam.2022.4187.

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The primary purpose of the research is to explore the combined effects of the tire loading velocity (LV) and the nonlinear cross-anisotropic properties of granular base on critical pavement responses. An accurate finite element (FE) model of the pavement structure is constructed using ABAQUS software after verification. The FE model is applied for quantitative research by changing the nonlinear cross-anisotropic characteristic parameters under different LVs, which is done to determine the relationship between the critical strain responses and LVs under nonlinear cross-anisotropic properties. The transverse tensile strain is found to be exerted on the pavement for a longer amount of time than the longitudinal tensile strain. It also found that the critical longitudinal, transverse, and shear strains can be described as having exponential relationships. The exponent coefficients indicate that the influences of the LV on these three types of strains are analogical. In other words, with the increase of tire velocity, the critical strains decay exponentially. The LV is found to have a limited impact on the compressive strain under the same nonlinear cross-anisotropic properties. However, the effects of nonlinear cross-anisotropic properties on the compressive strain at the top of the subgrade are obvious.
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4

Bakushev, S. V. "Flat geometric-nonlinear shear strains." Structural Mechanics of Engineering Constructions and Buildings 14, no. 6 (2018): 516–22. http://dx.doi.org/10.22363/1815-5235-2018-14-6-516-522.

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5

Nielsen, Anders S., and Ryszard Pyrz. "In-Situ Observation of Thermal Residual Strains in Carbon/Thermoplastic Microcomposites Using Raman Spectroscopy." Engineering Plastics 5, no. 4 (1997): 147823919700500. http://dx.doi.org/10.1177/147823919700500401.

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Thermal residual strains in carbon/thermoplastic microcomposites have been measured in-situ using micro Raman spectroscopy. This experimental method provides quantitative information of the relation between the level of residual strains and the temperature history. Two different microcomposites have been investigated; carbon fibre/ polycarbonate and carbon fibre/polypropylene. The observed strain-temperature profile exhibits two characteristic nonlinear zones for both composite systems. It is shown that the linear thermoelastic solution strongly overestimates residual thermal strains. In order to overcome this deficiency the thermorheologically simple model is applied to predict residual strains. The results indicate that the model correctly estimates the level of residual strains in thermoplastic microcomposites, but fails to describe the two nonlinear characteristic zones. This leads to the conclusion that a more complex constitutive model of the matrix phase must be considered.
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6

Nielsen, Anders S., and Ryszard Pyrz. "In-Situ Observation of Thermal Residual Strains in Carbon/Thermoplastic Microcomposites Using Raman Spectroscopy." Polymers and Polymer Composites 5, no. 4 (1997): 245–56. http://dx.doi.org/10.1177/096739119700500401.

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Thermal residual strains in carbon/thermoplastic microcomposites have been measured in-situ using micro Raman spectroscopy. This experimental method provides quantitative information of the relation between the level of residual strains and the temperature history. Two different microcomposites have been investigated; carbon fibre/ polycarbonate and carbon fibre/polypropylene. The observed strain-temperature profile exhibits two characteristic nonlinear zones for both composite systems. It is shown that the linear thermoelastic solution strongly overestimates residual thermal strains. In order to overcome this deficiency the thermorheologically simple model is applied to predict residual strains. The results indicate that the model correctly estimates the level of residual strains in thermoplastic microcomposites, but fails to describe the two nonlinear characteristic zones. This leads to the conclusion that a more complex constitutive model of the matrix phase must be considered.
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7

Simmonds, J. G. "The Strain-Energy Density of Rubber-Like Shells of Revolution Undergoing Torsionless, Axisymmetric Deformation (Axishells)." Journal of Applied Mechanics 53, no. 3 (1986): 593–96. http://dx.doi.org/10.1115/1.3171816.

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We consider a shell of revolution made of an incompressible elastically isotropic material. Assuming a torsionless, axisymmetric three-dimensional displacement field that permits large normal strains (i.e., large thickness changes) but small transverse shearing strains, we construct a two-dimensional strain-energy density for a first-approximation shell theory in which the extensional strains may be O(1). The bending strains, however, are small, as in Reissner’s nonlinear theory. An error estimate is given that depends on the undeformed thickness and curvatures, the bending strains, the transverse shearing strain, and the characteristic wavelength of the shell theory solutions.
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8

Levin, V. A., and K. M. Zingermann. "Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains." Journal of Applied Mechanics 70, no. 6 (2003): 809–16. http://dx.doi.org/10.1115/1.1630811.

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A method is developed for derivation of effective constitutive equations for porous nonlinear-elastic materials undergoing finite strains. It is shown that the effective constitutive equations that are derived using the proposed approach do not change if a rigid motion is superimposed on the deformation. An approach is proposed for the computation of effective characteristics for nonlinear-elastic materials in which pores are originated after a preliminary loading. This approach is based on the theory of superimposed finite deformations. The results of computations are presented for plane strain, when pores are distributed uniformly.
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9

Sokolova, M. Yu, and D. V. Khristich. "FINITE STRAINS OF NONLINEAR ELASTIC ANISOTROPIC MATERIALS." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 70 (2021): 103–16. http://dx.doi.org/10.17223/19988621/70/9.

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Anisotropic materials with the symmetry of elastic properties inherent in crystals of cubic syngony are considered. Cubic materials are close to isotropic ones by their mechanical properties. For a cubic material, the elasticity tensor written in an arbitrary (laboratory) coordinate system, in the general case, has 21 non-zero components that are not independent. An experimental method is proposed for determining such a coordinate system, called canonical, in which a tensor of elastic properties includes only three nonzero independent constants. The nonlinear model of the mechanical behavior of cubic materials is developed, taking into account geometric and physical nonlinearities. The specific potential strain energy for a hyperelastic cubic material is written as a function of the tensor invariants, which are projections of the Cauchy-Green strain tensor into eigensubspaces of the cubic material. Expansions of elasticity tensors of the fourth and sixth ranks in tensor bases in eigensubspaces are determined for the cubic material. Relations between stresses and finite strains containing the second degree of deformations are obtained. The expressions for the stress tensor reflect the mutual influence of the processes occurring in various eigensubspaces of the material under consideration.
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10

Johnson, A. R., T. Chen, and J. L. Mead. "Modeling Step—Strain Relaxation and Cyclic Deformations of Elastomers." Rubber Chemistry and Technology 75, no. 2 (2002): 333–45. http://dx.doi.org/10.5254/1.3544982.

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Abstract Data for step—strain relaxation and cyclic compressive deformations of highly viscous short elastomer cylinders are modeled using a large strain rubber viscoelastic constitutive theory with a rate—independent friction stress term added. In the tests, both small and large amplitude cyclic compressive strains, in the range of 1% to 10%, were superimposed on steady state compressed strains, in the range of 5% to 20%, for frequencies of 1 and 10 Hz. The elastomer cylinders were conditioned prior to each test to soften them. The constants in the viscoelastic—friction constitutive theory are determined by employing a nonlinear least-squares method to fit the analytical stresses for a Maxwell model, which includes friction, to measured relaxation stresses obtained from a 20% step—strain compression test. The simulation of the relaxation data with the nonlinear model is successful at compressive strains of 5%, 10%, 15%, and 20%. Simulations of hysteresis stresses for enforced cyclic compressive strains of 20%±5% are made with the model calibrated by the relaxation data. The predicted hysteresis stresses are lower than the measured stresses.
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