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Journal articles on the topic '[SPI:MECA] Engineering Sciences/Mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 22 June 2024

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1

Daniel, Thomas, Fabien Casenave, Nissrine Akkari, David Ryckelynck, and Christian Rey. "Uncertainty quantification for industrial numerical simulation using dictionaries of reduced order models." Mechanics & Industry 23 (2022): 3. http://dx.doi.org/10.1051/meca/2022001.

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We consider the dictionary-based ROM-net (Reduced Order Model) framework [Daniel et al., Adv. Model. Simul. Eng. Sci. 7 (2020) https://doi.org/10.1186/s40323-020-00153-6] and summarize the underlying methodologies and their recent improvements. The object of interest is a real-life industrial model of an elastoviscoplastic high-pressure turbine blade subjected to thermal, centrifugal and pressure loadings. The main contribution of this work is the application of the complete ROM-net workflow to the quantification of the uncertainty of dual quantities on this blade (such as the accumulated plastic strain and the stress tensor), generated by the uncertainty of the temperature loading field. The dictionary-based ROM-net computes predictions of dual quantities of interest for 1008 Monte Carlo draws of the temperature loading field in 2 h and 48 min, which corresponds to a speedup greater than 600 with respect to a reference parallel solver using domain decomposition, with a relative error in the order of 2%. Another contribution of this work consists in the derivation of a meta-model to reconstruct the dual quantities of interest over the complete mesh from their values on the reduced integration points.

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2

Zenkour, Ashraf M. "Corrigendum to ‘The refined sinusoidal theory for FGM plates on elastic foundations’ [Int. J. Mech. Sci. 51 (2009) 869–880]." International Journal of Mechanical Sciences 52, no. 7 (2010): 1023. http://dx.doi.org/10.1016/j.ijmecsci.2010.05.002.

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3

Atkins, A. G. "Toughness and Oblique Metalcutting." Journal of Manufacturing Science and Engineering 128, no. 3 (2005): 775–86. http://dx.doi.org/10.1115/1.2164506.

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The implications of whether new surfaces in cutting are formed just by plastic flow past the tool or by some fracturelike separation process involving significant surface work, are discussed. Oblique metalcutting is investigated using the ideas contained in a new algebraic model for the orthogonal machining of metals (Atkins, A. G., 2003, “Modeling Metalcutting Using Modern Ductile Fracture Mechanics: Quantitative Explanations for Some Longstanding Problems,” Int. J. Mech. Sci., 45, pp. 373–396) in which significant surface work (ductile fracture toughnesses) is incorporated. The model is able to predict explicit material-dependent primary shear plane angles ϕ and provides explanations for a variety of well-known effects in cutting, such as the reduction of ϕ at small uncut chip thicknesses; the quasilinear plots of cutting force versus depth of cut; the existence of a positive force intercept in such plots; why, in the size-effect regime of machining, anomalously high values of yield stress are determined; and why finite element method simulations of cutting have to employ a “separation criterion” at the tool tip. Predictions from the new analysis for oblique cutting (including an investigation of Stabler’s rule for the relation between the chip flow velocity angle ηC and the angle of blade inclination i) compare consistently and favorably with experimental results.

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4

Noh, Wooram, Youngwoo Koh, Kwansoo Chung, Jung-Han Song, and Myoung-Gyu Lee. "Corrigendum to ‘Influence of dynamic loading on failure behavior of spot welded automotive steel sheets’ [Int. J. Mech. Sci. 144 (2018) 407-426]." International Journal of Mechanical Sciences 156 (June 2019): 509–10. http://dx.doi.org/10.1016/j.ijmecsci.2018.11.016.

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5

Hall, Richard B. "A Thermodynamic Framework for Viscoplasticity Based on Overstress (VBO)." Journal of Engineering Materials and Technology 127, no. 4 (2005): 369–73. http://dx.doi.org/10.1115/1.1924562.

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A thermodynamic framework is presented for the theory of Viscoplasticity Based on Overstress (VBO) developed by Krempl and co-workers (Krempl, E., and Ho, K., 2001, in Lemaitre Handbook of Materials Behavior Models, Academic Press, New York, pp. 336–348; 2000, in Time Dependent and Nonlinear Effects in Polymers and Composites, ASTM STP 1357, Schapery, R. A., and Sun, C. T., eds., ASTM, West Conshohocken, PA, pp. 118–137; Cernocky, E. P., and Krempl, E., 1979, Int. J. Non-Linear Mech., 14, pp. 183–203; Gomaa et al., 2004, Int. J. Solids Struct., 41, pp. 3607–3624), for anisotropic materials and small deformations. A Caratheodory-based approach is applied to demonstrate the existence of entropy and absolute temperature, as previously described by Hall (2000, Compos. Sci. Technol., 60, pp. 2581–2599). The present framework indicates that the stress rate-dependent term in the established growth law for the equilibrium stress cannot contribute to the dissipation, and is therefore referred to here as the elastic equilibrium stress rate. A new temperature rate-dependent term is obtained for the same growth law, which is also required to be dissipationless. These terms are therefore identified with dissipationless changes of the stored energy and∕or entropy. In general, the traditional, and thermodynamically justified, forms for the potential functions that arise in the present nonequilibrium treatment lead to dissipationless contributions from internal variable growth law terms that are linear in the rates of the controllable variables. Similar indications, without first establishing entropy and absolute temperature existence, were noted in the modeling of Lehmann (1984, in The Constitutive Law in Thermoplasticity, T. Lehmann, ed., Springer, New York).

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6

Christiansen, E. "Comment on the paper “Performance of the p-version finite element method for limit analysis” by F. Tin-Loi and N.S. Ngo [Int J Mech Sci 2003;45:1149–66]." International Journal of Mechanical Sciences 47, no. 12 (2005): 2003–4. http://dx.doi.org/10.1016/j.ijmecsci.2005.08.002.

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7

Zhang, Meng, Kun Sun, and Liang Fang. "Corrigendum to: Influence of grain boundary activites on elastic and plastic deformation of nanocrystalline Cu as studied by phase filed and atomistic simulaiton’ Int. J. Mech. Sci. 187 (2020) 105911." International Journal of Mechanical Sciences 196 (April 2021): 106284. http://dx.doi.org/10.1016/j.ijmecsci.2021.106284.

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8

Bhowmick, Shubhankar, Dipten Misra, and Kashi Nath Saha. "Reply to the discussion by Ahmet N. Eraslan and Tolga Akis on “Approximate solution of limit angular speed for externally loaded rotating solid disk by S. Bhowmick, D. Misra and K.N. Saha [Int. J. Mech. Sci. 50 (2008) 163–174]”." International Journal of Mechanical Sciences 50, no. 9 (2008): 1434. http://dx.doi.org/10.1016/j.ijmecsci.2008.07.005.

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9

Wiratama, Kenny, Stephen Roberts, and Kenneth Duru. "Weak imposition of boundary conditions for the gauge formulation of the incompressible Navier–Stokes equations." ANZIAM Journal 62 (February 7, 2022): C128—C145. http://dx.doi.org/10.21914/anziamj.v62.16117.

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The projection method was first introduced by Chorin [Bull. AMS 73 (1967), pp. 928–931] and Temam [Arch. Rat. Mech. Anal. 33 (1969), pp. 377–385] as a computationally efficient numerical method to solve the incompressible Navier–Stokes equations. Despite its success in decoupling the computations of velocity and pressure, it suffers from inaccurate numerical boundary layers. As an effort to resolve this inaccuracy, E and Liu [Int. J. Numer. Meth. Fluids 34 (2000), pp. 701–710] proposed the gauge method, which is a reformulation of the Navier–Stokes equations in terms of an auxiliary vector field and a gauge variable. This method utilizes the freedom of choosing a boundary condition for the gauge variable to reduce the numerical coupling between the considered variables. Nevertheless, the computational implementation of the boundary conditions for the auxiliary vector field is difficult in the context of finite elements since they involve either the normal or tangential derivative of the gauge variable. In order to circumvent this issue, we propose a weak formulation of the boundary conditions based on the symmetric Nitsche method. Computational results are presented to illustrate the accuracy of the proposed method. References J. H. Bramble, J. E. Pasciak, and A. T. Vassilev. Analysis of the Iinexact Uzawa algorithm for saddle point problems. SIAM J. Numer. Anal. 34.3 (1997), pp. 1072–1092. doi: 10.1137/S0036142994273343 D. L. Brown, R. Cortez, and M. L. Minion. Accurate projection methods for the incompressible Navier–Stokes equations. J. Comput. Phys. 168.2 (2001), pp. 464–499. doi: 10.1006/jcph.2001.6715 A. J. Chorin. The numerical solution of the Navier–Stokes equations for an incompressible fluid. Bull. Amer. Math. Soc. 73 (1967), pp. 928–931. doi: 10.1090/s0002-9904-1967-11853-6 on p. C100). W. E and J.-G. Liu. Gauge finite element method for incompressible flows. Int. J. Numer. Meth. Fluids 34 (2000), pp. 701–710. doi: 10.1002/1097-0363(20001230)34:8<701::AID-FLD76>3.0.CO;2-B W. E and J.-G. Liu. Projection method I: Convergence and numerical boundary layers. SIAM J. Numer. Anal. 32 (1995), pp. 1017–1057. doi: 10.1137/0732047 W. Ef and J.-G. Liu. Gauge method for viscous incompressible flows. Commun. Math. Sci. 1.2 (2003), pp. 317–332. doi: 10.4310/CMS.2003.v1.n2.a6 A. Ern and J.-L. Guermond. Theory and practice of finite elements. Vol. 159. Applied mathematical sciences. Springer, 2004. doi: 10.1007/978-1-4757-4355-5 P. Hansbo. Nitsche’s method for interface problems in computational mechanics. GAMM-Mitteilungen 28.2 (2005), pp. 183–206. doi: 10.1002/gamm.201490018 W. Layton, N. Mays, M. Neda, and C. Trenchea. Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier–Stokes equations. Math. Model. Numer. Anal. 48.3 (2014), pp. 765–793. doi: 10.1051/m2an/2013120 A. Logg, K.-A. Mardal, and G. Wells. Automated solution of differential equations by the finite element method: The FEniCS book. Vol. 84. Lecture notes in computational science and engineering. Springer, 2012. doi: 10.1007/978-3-642-23099-8 R. Mekhlouf, A. Baggag, and L. Remaki. Assessment of Nitsche’s method for Dirichlet boundary conditions treatment. J. Fluid Flow, Heat Mass Trans. 4.1 (2017), pp. 54–63. doi: 10.11159/jffhmt.2017.007 J. Nitsche. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Semin. Univ. Hambg. Vol. 36. Springer. 1971, pp. 9–15. doi: 10.1007/BF02995904 R. H. Nochetto and J.-H. Pyo. The gauge-Uzawa finite element method. Part I: The Navier–Stokes equations. SIAM J. Numer. Anal. 43.3 (2005), pp. 1043–1068. doi: 10.1137/040609756 J.-H. Pyo. Error estimates for the second order semi-discrete stabilized gauge-Uzawa method for the Navier–Stokes equations. Int. J. Numer. Anal. Mod. 10.1 (2013). url: https://www.global-sci.org/intro/article_detail/ijnam/557.html L. Ridgway Scott. Introduction to automated modeling with FEniCS. Computational Modeling Initiative, 2018. url: https://www.cminit.company/publications R. Temam. Sur l’approximation de la solution des équations de Navier–Stokes par la méthode des pas fractionnaires (II). Arch. Rat. Mech. Anal. 33.5 (1969), pp. 377–385. doi: 10.1007/BF00247696 C. Wang and J.-G. Liu. Convergence of gauge method for incompressible flow. Math. Comput. 69 (2000), pp. 1385–1407. doi: 10.1090/S0025-5718-00-01248-5 K. Wiratama. A comparison of projection and gauge methods for numerical incompressible fluid dynamics. Masters thesis. Australian National University, Oct. 2019 H. Zhang. Application of projection methods to the numerical solution of the incompressible Navier Stokes equations. Honours thesis. Australian National University, Oct. 2014

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10

Li, Jun, Ningsheng Chen, Yuandi Zhao, Mei Liu, and Weiyu Wang. "A catastrophic landslide triggered debris flow in China’s Yigong: factors, dynamic processes, and tendency." Earth Sciences Research Journal 24, no. 1 (2020): 71–82. http://dx.doi.org/10.15446/esrj.v24n1.78094.

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A Catastrophic Landslide Triggered Debris Flow (CLDF) hazard with a scale of 0.3 billion m3 occurred in the Zhamunong gully on April 9th, 2000. It is of great scientific and engineering significance to study the main controlling factors and dynamic processes of this CLDF, and the future development trend of similar hazards. First, we collect the data of the prehazard precipitation, temperature and earthquake, as well as the seismic waves generated by the disaster. Second, we use multiple methods on the data, including the EPA and SPI computing methods, Fast Fourier transform (FFT), the engineering geological survey, the calculation method of landslide stability, the FLAC numerical simulation method and rock mechanics experiment, etc. Third, the processed data is analyzed, and the results are shown as follows: (1) The motivating factors of the 2000 CLDF were a long-term freeze-thaw cycle, a dry-wet cycle and an earthquake. It is reasonable that the Ms 4.8 earthquake was a direct inducing factor before the occurrence of the 2000 CLDF. (2) Based on the ground vibration spectrum recorded by the Linzhi seismic station, the dynamic processes of the 2000 LTDF have four processes, which are the joint and crack development process in the landslide, the crack fracture and sliding process, the landslide translating into the debris flow and the movement and deposition of the debris flow. (3) The density of the 2000 CLDF is 2.0 t·m-3, the average velocity of the 2000 CLDF is 30.12 m·s-1, and the discharge process of the 2000 CLDF first increases and then decreases. (4) Based on the adequately internal and external geological conditions, a CLDF of the Zhamunong gully may occur in the future. The research results are useful in establishing a foundation for further study on the dynamic mechanism of CLDFs and hazard reduction countermeasures.

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11

"The strength of surfaces in rolling contactJohnson, K.L. Proc. Inst. Mech. Eng. C, J. Mech. Eng. Sci. 1989 203, (C3), 151–163." International Journal of Fatigue 12, no. 6 (1990): 527. http://dx.doi.org/10.1016/0142-1123(90)90279-n.

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12

"Degradation of mechanical properties by corrosion fatigue Congleton, J. and Parkins, R.N.Proc. Inst. Mech. Eng. C, J. Mech. Eng. Sci. 1989 203, (C2), 73–84." International Journal of Fatigue 12, no. 2 (1990): 142. http://dx.doi.org/10.1016/0142-1123(90)90722-q.

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13

Reusch, Frederick, Christian Hortig, and Bob Svendsen. "Nonlocal Modeling and Simulation of Ductile Damage and Failure in Metal Matrix Composites." Journal of Engineering Materials and Technology 130, no. 2 (2008). http://dx.doi.org/10.1115/1.2840967.

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The purpose of the current work is the application of a recent nonlocal extension (Reusch, F., Svendsen, B., and Klingbeil, D., 2003, “Local and Non-Local Gurson-Based Ductile Damage and Failure Modelling at Large Deformation,” Eur. J. Mech. A∕Solids, 22, pp. 779–792; “A Non-Local Extension of Gurson-Based Ductile Damage Modeling,” Comput. Mater. Sci., 26, pp. 219–229) of the Gurson–Needleman–Tvergaard (GTN) model (Needleman, A., and Tvergaard, V., 1984, “An Analysis of Ductile Rupture in Notched Bars,” J. Mech Phys. Solids, 32, pp. 461–490) to the simulation of ductile damage and failure processes in metal matrix composites at the microstructural level. The extended model is based on the treatment of void coalescence as a nonlocal process. In particular, we compare the predictions of the local with GTN model with those of the nonlocal extension for ductile crack initiation in ideal and real Al–SiC metal matrix microstructures. As shown by the current results for metal matrix composites and as expected, the simulation results based on the local GTN model for both the structural response and predicted crack path at the microstructural level in metal matrix composites are strongly mesh-dependent. On the other hand, those based on the current nonlocal void-coalescence modeling approach are mesh-independent. This correlates with the fact that, in contrast to the local approach, the predictions of the nonlocal approach for the crack propagation path in the real Al–SiC metal matrix composite microstructure considered here agree well with the experimentally determined path.

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14

"Finite-element study of residual stresses in a plate T-joint fatigue specimenMok, D.H.B. and Pick, R.J.Proc. Inst. Mech. Eng. C, J. Mech. Eng. Sci. 1990 204, (C2), 127–134." International Journal of Fatigue 13, no. 3 (1991): 281. http://dx.doi.org/10.1016/0142-1123(91)90285-7.

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15

Boumbimba, Rodrigue Matadi, Said Ahzi, Nadia Bahlouli, David Ruch, and José Gracio. "Dynamic Mechanical Properties of PMMA/Organoclay Nanocomposite: Experiments and Modeling." Journal of Engineering Materials and Technology 133, no. 3 (2011). http://dx.doi.org/10.1115/1.4004052.

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Similarly to unfilled polymers, the dynamic mechanical properties of polymer/organoclay nanocomposites are sensitive to frequency and temperature, as well as to clay concentration. Richeton et al. (2005, “A Unified Model for Stiffness Modulus of Amorphous Polymers Across Transition Temperatures and Strain Rates,” Polymer, 46, pp. 8194–8201) has recently proposed a statistical model to describe the storage modulus variation of glassy polymers over a wide range of temperature and frequency. In the present work, we propose to extend this approach for the prediction of the stiffness of polymer composites by using two-phase composite homogenization methods. The phenomenological law developed by Takayanagi et al., 1966, J. Polym. Sci., 15, pp. 263–281 and the classical bounds proposed by Voigt, 1928, Wied. Ann., 33, pp. 573–587 and Reuss and Angew, 1929, Math. Mech., 29, pp. 9–49 models are used to compute the effective instantaneous moduli, which is then implemented in the Richeton model (Richeton et al., 2005, “A Unified Model for Stiffness Modulus of Amorphous Polymers Across Transition Temperatures and Strain Rates,” Polymer, 46, pp. 8194–8201). This adapted formulation has been successfully validated for PMMA/cloisites 20A and 30B nanocomposites. Indeed, good agreement has been obtained between the dynamic mechanical analysis data and the model predictions of poly(methyl-methacrylate)/organoclay nanocomposites.

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16

Zojer, Egbert, Ulrich Rant, Petra Buchacher, et al. "Influence of the Chemical Structure on the Luminescence Properties of Organic Dye Molecules." MRS Proceedings 598 (1999). http://dx.doi.org/10.1557/proc-598-bb3.72.

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ABSTRACTIn this contribution we compare experimental investigations (of photoluminescence, absorption and modulation spectroscopy) for a number of novel dye molecules to quantum-chemical simulations. The investigated materials contain phenylene-, phenylenevinylene-, naphthylene- and anthrylene units linked either by saturated or non saturated bonds. In the first part of the paper we give a short overview of the principal optical properties of the investigated molecules including a discussion of exciton localization effects. The latter can be accomplished by studying the geometry modifications in the excited state relative to the ground state. To do so, we couple the Austin Model 1 (AM1) approach to a multi-electron configuration interaction technique (MECI). The optical spectra are subsequently obtained from the Intermediate Neglect of Differential Overlap (INDO) Hamiltonian combined with a Single Configuration Interaction (SCI) approach. In the main section of this contribution we show the results of singlet exciton lifetime measurements performed with a modulation technique. An excellent agreement was found between the experimental data and quantum-chemical simulations for the transition dipole moments

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17

He, Ji, Z. Cedric Xia, Danielle Zeng, and Shuhui Li. "Forming Limits of a Sheet Metal After Continuous-Bending-Under-Tension Loading." Journal of Engineering Materials and Technology 135, no. 3 (2013). http://dx.doi.org/10.1115/1.4023676.

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Forming limit diagrams (FLD) have been widely used as a powerful tool for predicting sheet metal forming failure in the industry. The common assumption for forming limits is that the deformation is limited to in-plane loading and through-thickness bending effects are negligible. In practical sheet metal applications, however, a sheet metal blank normally undergoes a combination of stretching, bending, and unbending, so the deformation is invariably three-dimensional. To understand the localized necking phenomenon under this condition, a new extended Marciniak–Kuczynski (M–K) model is proposed in this paper, which combines the FLD theoretical model with finite element analysis to predict the forming limits after a sheet metal undergoes under continuous-bending-under-tension (CBT) loading. In this hybrid approach, a finite element model is constructed to simulate the CBT process. The deformation variables after the sheet metal reaches steady state are then extracted from the simulation. They are carried over as the initial condition of the extended M–K analysis for forming limit predictions. The obtained results from proposed model are compared with experimental data from Yoshida et al. (2005, “Fracture Limits of Sheet Metals Under Stretch Bending,” Int. J. Mech. Sci., 47(12), pp. 1885–1986) under plane strain deformation mode and the Hutchinson and Neale's (1978(a), “Sheet Necking—II: Time-Independent Behavior,” Mech. Sheet Metal Forming, pp. 127–150) M–K model under in-plane deformation assumption. Several cases are studied, and the results under the CBT loading condition show that the forming limits of post-die-entry material largely depends on the strain, stress, and hardening distributions through the thickness direction. Reduced forming limits are observed for small die radius case. Furthermore, the proposed M–K analysis provides a new understanding of the FLD after this complex bending-unbending-stretching loading condition, which also can be used to evaluate the real process design of sheet metal stamping, especially when the ratio of die entry radii to the metal thickness becomes small.

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18

"Crack size limit and its effects on the shape of local yielding zone at the crack tipChow, C.L. and Lu, T.J.Proc. Inst. Mech. Eng., C, J. Mech. Eng. Sci. 1990 204, (C4), 219–232." International Journal of Fatigue 13, no. 3 (1991): 284. http://dx.doi.org/10.1016/0142-1123(91)90315-p.

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19

Salah, Issam Ben, Farid Takali, Cherif Othmani, Anouar Njeh, and Dezhi Li. "Erratum to “SH waves in a stressed piezoelectric semiconductor plates: Electron and hole drift phenomenon, [Int. J. Mech. Sci. 223 (2022) 107281]“." International Journal of Mechanical Sciences, March 2023, 108349. http://dx.doi.org/10.1016/j.ijmecsci.2023.108349.

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20

Simha, C. Hari Manoj, Kaan Inal, and Michael J. Worswick. "Orientation and Path Dependence of Formability in the Stress- and the Extended Stress-Based Forming Limit Curves." Journal of Engineering Materials and Technology 130, no. 4 (2008). http://dx.doi.org/10.1115/1.2931152.

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This article analyzes the formability data sets for aluminum killed steel (Laukonis, J. V., and Ghosh, A. K., 1978, “Effects of Strain Path Changes on the Formability of Sheet Metals,” Metall. Trans. A., 9, pp. 1849–1856), for Al 2008-T4 (Graf, A., and Hosford, W., 1993, “Effect of Changing Strain Paths on Forming Limit Diagrams of Al 2008-T4,” Metall. Trans. A, 24A, pp. 2503–2512) and for Al 6111-T4 (Graf, A., and Hosford, W., 1994, “The Influence of Strain-Path Changes on Forming Limit Diagrams of Al 6111 T4,” Int. J. Mech. Sci., 36, pp. 897–910). These articles present strain-based forming limit curves (ϵFLCs) for both as-received and prestrained sheets. Using phenomenological yield functions, and assuming isotropic hardening, the ϵFLCs are transformed into principal stress space to obtain stress-based forming limit curves (σFLCs) and the principal stresses are transformed into effective stress and mean stress space to obtain the extended stress-based forming limit curves (XSFLCs). A definition of path dependence for the σFLC and XSFLC is proposed and used to classify the obtained limit curves as path dependent or independent. The path dependence of forming limit stresses is observed for some of the prestrain paths. Based on the results, a novel criterion that, with a knowledge of the forming limit stresses of the as-received material, can be used to predict whether the limit stresses are path dependent or independent for a given prestrain path is proposed. The results also suggest that kinematic hardening and transient hardening effects may explain the path dependence observed in some of the prestrain paths.

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21

"The prediction of fatigue lifetimes in a model structure using a nonlinear kinematic hardening model with continuum damageLavander, D.A. and Hayhurst, D.R. Int. J. Mech. Sci.31, (7), 537–548, 1989." International Journal of Fatigue 12, no. 5 (1990): 452. http://dx.doi.org/10.1016/0142-1123(90)90062-j.

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22

Simha, C. Hari Manoj, Rassin Grantab, and Michael J. Worswick. "Application of an Extended Stress-Based Forming Limit Curve to Predict Necking in Stretch Flange Forming." Journal of Manufacturing Science and Engineering 130, no. 5 (2008). http://dx.doi.org/10.1115/1.2844593.

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An extension of the stress-based forming limit curve (FLC) advanced by Stoughton (2000, “A General Forming Limit Criterion for Sheet Metal Forming,” Int. J. Mech. Sci., 42, pp. 1–27) is presented in this work. With the as-received strain-based FLCs and stress-strain curves for 1.6-mm-thick AA5754 and 1-mm-thick AA5182 aluminum alloy, stress-based FLCs are obtained. These curves are then transformed into extended stress-based forming limit curves (XSFLCs), which consist of the invariants, effective stress, and mean stress. By way of application, stretch flange forming of these aluminum alloy sheets is considered. The AA5754 stretch flange displays a circumferential crack during failure, whereas the AA5182 stretch flange fails through a radial crack at the edge of the cutout. It is shown that the necking predictions obtained using the strain- and stress-based FLCs in conjunction with shell element computations are inconsistent when compared with the experimental results. By comparing the results of the shell element computations with those in which the mesh comprises eight-noded solid elements, it is demonstrated that the plane stress approximation is not valid. The XSFLC is then used with results from the solid-element computations to predict the punch depths at the onset of necking. Furthermore, it is shown that the predictions of failure location and failure mode obtained using the XSFLC are in accord with the differences observed between the two alloys/gauges.

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