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Journal articles on the topic 'Failure envelopes'

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Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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1

Dharmasaroja, A., C. G. Armstrong, A. Murphy, T. T. Robinson, N. L. Iorga, and J. R. Barron. "Structural performance envelopes in load space." Aeronautical Journal 125, no. 1283 (November 17, 2020): 127–50. http://dx.doi.org/10.1017/aer.2020.94.

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ABSTRACTVisualising the loads that a structure can tolerate provides a key insight into the structural design process, especially for materials and structures that are governed by complex failure criteria. This paper proposes a general method for efficient construction of performance envelopes in load space, and demonstrates the approach with two examples. The performance envelope identifies all possible failure modes, all the redundant and non-redundant structural constraints, and the limiting failure mode in a particular direction in load space. Once the envelope has been constructed, the structural reserve factors can be calculated extremely quickly. In design such envelopes are most useful for structural analysis processes which involve a very large number of load cases, and where the cost of constructing an envelope for a given feature is relatively modest.

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2

Gong, Xiu Bin, Qing Lai Fan, and Ke Wu. "Bearing Capacity of Suction Caisson for Offshore Floating Wind Turbine." Advanced Materials Research 243-249 (May 2011): 4718–22. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.4718.

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Presented in this paper are the three-dimensional nonlinear finite element analyses of the failure envelopes of suction caisson under torsion, vertical and lateral pullout combined load in soft clay. The soft clay under undrained condition is simulated by perfectly elasto-plastic Tresca model. Through the numerical analyses, the failure envelopes for combined loading (V-T、H-T、V-H-T) of suction caisson is reviewed. And the mathematical expression of failure envelope is deduced. It is shown that (1) the circular plastic failure area is outward-extending. (2) The bearing capacity of suction caisson foundation in V-T、H-T load spaces is increasing with the aspect ratio L/D. (3) The equation of failure envelope can be used to evaluate the stability of suction caisson foundation for offshore floating wind turbine.

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3

Eid, Hisham T. "Two- and three-dimensional analyses of translational slides in soils with nonlinear failure envelopes." Canadian Geotechnical Journal 47, no. 4 (April 2010): 388–99. http://dx.doi.org/10.1139/t09-110.

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This paper aims to assess the effect of nonlinearity of the soil shear strength envelope on the sliding mass configurations and the minimum two- and three-dimensional factors of safety for slopes susceptible to translational failure in both static and seismic conditions. An extensive parametric study was conducted using slope models and nonlinear soil strength envelopes that simulate translational failure case histories. Analysis of the results led to the development of stability charts that do not require an iterative procedure when determining the factors of safety. The introduction of a two-dimensional stability number and three-dimensional stability function, the values of which depend on the degrees of nonlinearity of the involved soils’ strength envelopes, has made it possible to develop such charts. These charts give the practicing geotechnical engineer a reliable and fast method to analyze translational failures. Using available software in such an analysis can be complicated if shear resistance along the sliding mass vertical sides and nonlinearity of soil shear strength envelopes are considered. Numerical examples and a case history are given to verify the reliability and illustrate the different applications of these charts.

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4

Jiang, J. C., R. Baker, and T. Yamagami. "The effect of strength envelope nonlinearity on slope stability computations." Canadian Geotechnical Journal 40, no. 2 (April 1, 2003): 308–25. http://dx.doi.org/10.1139/t02-111.

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Engineering analysis of slope stability includes three separate but interrelated phases: (a) experimental strength measurements, (b) determination of a strength envelope that best fits the experimental results, and (c) formal limiting equilibrium analysis using the resulting strength envelopes. Studying the interrelations between these phases leads to an integrated approach to slope stability analysis. The present work uses a single experimental database that is fitted with both linear (MohrCoulomb) and nonlinear failure envelopes and investigates the effect of different forms of the failure criterion on slope stability computations for both 2D and 3D problems. It has been indicated that calculated minimum safety factors could be significantly overestimated by the linear approximation of a nonlinear strength envelope. The effect of neglecting strength envelope nonlinearity is more pronounced under 3D conditions than in a 2D simplification. As a result, the use of nonlinear failure criterions in slope stability analyses is recommended to account for the stress-dependent nature of the shear strength of soils.Key words: nonlinear strength envelope, MohrCoulomb failure criterion, limit equilibrium, critical slip surface, minimum factor of safety, three-dimensional stability analysis.

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5

Arthos, James, Andrea Rubbert, Ronald L. Rabin, Claudia Cicala, Elizabeth Machado, Kathryne Wildt, Meredith Hanbach, et al. "CCR5 Signal Transduction in Macrophages by Human Immunodeficiency Virus and Simian Immunodeficiency Virus Envelopes." Journal of Virology 74, no. 14 (July 15, 2000): 6418–24. http://dx.doi.org/10.1128/jvi.74.14.6418-6424.2000.

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ABSTRACT The capacity of human immunodeficiency virus (HIV) and simian immunodeficiency virus (SIV) envelopes to transduce signals through chemokine coreceptors on macrophages was examined by measuring the ability of recombinant envelope proteins to mobilize intracellular calcium stores. Both HIV and SIV envelopes mobilized calcium via interactions with CCR5. The kinetics of these responses were similar to those observed when macrophages were treated with MIP-1β. Distinct differences in the capacity of envelopes to mediate calcium mobilization were observed. Envelopes derived from viruses capable of replicating in macrophages mobilized relatively high levels of calcium, while envelopes derived from viruses incapable of replicating in macrophages mobilized relatively low levels of calcium. The failure to efficiently mobilize calcium was not restricted to envelopes derived from CXCR4-utilizing isolates but also included envelopes derived from CCR5-utilizing isolates that fail to replicate in macrophages. We characterized one CCR5-utilizing isolate, 92MW959, which entered macrophages but failed to replicate. A recombinant envelope derived from this virus mobilized low levels of calcium. When macrophages were inoculated with 92MW959 in the presence of MIP-1α, viral replication was observed, indicating that a CC chemokine-mediated signal provided the necessary stimulus to allow the virus to complete its replication cycle. Although the role that envelope-CCR5 signal transduction plays in viral replication is not yet understood, it has been suggested that envelope-mediated signals facilitate early postfusion events in viral replication. The data presented here are consistent with this hypothesis and suggest that the differential capacity of viral envelopes to signal through CCR5 may influence their ability to replicate in macrophages.

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6

Zhang, Wenchao, and K. E. Evans. "Graphical representation of anisotropic failure envelopes." Engineering Computations 6, no. 3 (March 1989): 209–16. http://dx.doi.org/10.1108/eb023776.

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7

Norouzi, R., A. Kosari, and M. Hossein Sabour. "Evaluating the effects of lateral control surfaces failure on the generic transport model: a case study." Aeronautical Journal 124, no. 1277 (March 11, 2020): 1016–54. http://dx.doi.org/10.1017/aer.2020.11.

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ABSTRACTExtensive research in recent years has focused on improving the current loss-of-control prevention systems and developing new strategies for safe path planning of the impaired aircraft. Success in developing such systems requires a comprehensive perception of the influence of damage on the aircraft’s dynamic behaviour and performance, and the effect of various failure degrees on the flight envelope confinement and the remaining safe maneuvers. This paper comprehensively describes the effects of lateral control surface failure on the NASA Generic Transport Model (GTM) flight envelope, defined by a set of attainable steady-state maneuvers herein referred to as trim points. The study utilises a large database of high-fidelity maneuvering flight envelopes computed for the unimpaired case and wide ranges of the aileron and rudder failure cases at different flight conditions. Flight envelope boundary is rigorously investigated, and the key parameters confining the trim points at different boundary sections are identified. Trend analyses of the impaired flight envelopes and the corresponding limiting factors demonstrate the effect of various failure degrees on the remaining feasible trim points. Results can be employed in emergency path planning with potential uses in the development of aircraft resilient control and upset recovery systems.

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8

Jeong, Byeong-Woo. "Transitional Failure of Carbon Nanotube Systems under a Combination of Tension and Torsion." Journal of Nanomaterials 2012 (2012): 1–6. http://dx.doi.org/10.1155/2012/847307.

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Transitional failure envelopes of single- and double-walled carbon nanotubes under combined tension-torsion are predicted using classical molecular dynamics simulations. The observations reveal that while the tensile failure load decreases with combined torsion, the torsional buckling moment increases with combined tension. As a result, the failure envelopes under combined tension-torsion are definitely different from those under pure tension or torsion. In such combined loading, there is a multitude of failure modes (tensile failure and torsional buckling), and the failure consequently exhibits the feature of transitional failure envelopes. In addition, the safe region of double-walled carbon nanotubes is significantly larger than that of single-walled carbon nanotubes due to the differences in the onset of torsional buckling.

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9

Schutz, Michael, and Jeanine K. Stefanucci. "Exploring the Effects of “Sound Shape” on Consumer Preference." Ergonomics in Design: The Quarterly of Human Factors Applications 27, no. 1 (November 4, 2018): 16–19. http://dx.doi.org/10.1177/1064804618810031.

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Interfaces play a crucial role in a device’s success or failure. Although visual aspects generally receive more attention, findings from sonic interaction design increasingly illustrate the importance of auditory aesthetics in creating desirable products. Here we show that small changes to the amplitude envelope (i.e., “sound shape”) of tones affect user preference. Specifically, participants are willing to pay 9% more for products using sounds with decaying-amplitude envelopes rather than abruptly ending envelopes that are common in many device sounds. These findings hold important implications for cost-effective changes that could potentially improve a product’s desirability and perceived value.

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10

Yun, Gijae, and M. Fraser Bransby. "The horizontal-moment capacity of embedded foundations in undrained soil." Canadian Geotechnical Journal 44, no. 4 (April 1, 2007): 409–24. http://dx.doi.org/10.1139/t06-126.

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The bearing capacity of embedded foundations subject to combined horizontal and moment loading in undrained soils is of interest particularly to the offshore geotechnical engineer. These loadings can be experienced by monopod foundations and offshore manifolds and often take the form of a horizontal load applied at a lever arm height above the foundation base. Previous design methods using the failure envelope approach have suggested that peak moment capacity of a foundation is mobilized with positive horizontal loads, but that peak horizontal load is mobilized with no additional moment loading. This paper reports numerical work specifically investigating the effects of the embedment ratio on the horizontal-moment foundation capacity under no vertical load in both uniform strength and "normally consolidated" undrained soil. It is shown that the embedment ratio significantly affects the eccentricity of the M–H failure envelope so that the shape varies when normalized by the pure moment (M0) and pure horizontal load (H0) capacity. The reasons for the eccentricity of the failure envelopes are understood by investigating soil deformation mechanisms calculated during FE analysis and by accompanying upper bound plasticity analysis. This mechanistic understanding is used to suggest load reference point translations that ease curve-fitting of the complex failure envelopes for use in design.Key words: bearing capacity, foundations, numerical modelling and analysis, plasticity.

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11

CONSOLI, N. C., L. DA SILVA LOPES JR, B. S. CONSOLI, and L. FESTUGATO. "Mohr–Coulomb failure envelopes of lime-treated soils." Géotechnique 64, no. 2 (February 2014): 165–70. http://dx.doi.org/10.1680/geot.12.p.168.

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12

CONSOLI, N. C., E. FRATALOCCHI, B. S. CONSOLI, F. MAZZIERI, M. DI SANTE, L. FESTUGATO, and L. DA SILVA LOPES JR. "Mohr–Coulomb failure envelopes of lime-treated soils." Géotechnique 65, no. 10 (October 1, 2015): 866–68. http://dx.doi.org/10.1680/geot.15.d.001.

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13

Consoli, N. C., L. Da Silva Lopes JR, B. S. Consoli, L. Festugato, M. Di Sante, E. Fratalocchi, and F. Mazzieri. "Mohr–Coulomb failure envelopes of lime-treated soils." Géotechnique 65, no. 10 (October 2015): 866–68. http://dx.doi.org/10.1680/jgeot.15.d.001.

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14

Watson, P. G., and M. F. Randolph. "Failure envelopes for caisson foundations in calcareous sediments." Applied Ocean Research 20, no. 1-2 (February 1998): 83–94. http://dx.doi.org/10.1016/s0141-1187(98)00008-x.

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15

Petley, D. N. "Failure envelopes of mudrocks at high confining pressures." Geological Society, London, Special Publications 158, no. 1 (1999): 61–71. http://dx.doi.org/10.1144/gsl.sp.1999.158.01.05.

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16

Jing, Yuanxu, Yuan Wang, Jingqi Huang, Wei Wang, and Lunbo Luo. "Failure Envelopes of Composite Bucket Foundation for Offshore Wind Turbines under Combined Loading with considering Different Scour Depths." Shock and Vibration 2021 (August 12, 2021): 1–15. http://dx.doi.org/10.1155/2021/7922572.

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The composite bucket foundation of offshore wind turbines is subjected to a variety of loads in the marine environment, such as horizontal load H, vertical load V , bending moment M, and torque T. In addition, due to the characteristics of its connection section, the water flow around the foundation will produce scour pits of various degrees, reducing the depth of the bucket foundation, which has a nonnegligible impact on the overall stability of the bucket foundation. In this paper, the failure envelope characteristics of different combinations of loads on bucket foundations, including V -H-T, V -M-T, conventional V -H-M, and noncoplanar V -H-M, are numerically investigated with considering different scour depths. The numerical results indicate that the V -H-T, V -M-T, conventional V -H-M, and noncongruent V -H-M failure envelopes gradually shrink inwards with increasing scour depth, and the stability of the composite bucket foundation decreases; the conventional V -H-M failure envelope shows an asymmetry of convexity to the right, and the noncongruent V -H-M failure envelope shows an asymmetry of outward convexity to the left and right. The corresponding mathematical expressions for the failure envelope are obtained through the normalized fitting process, which can be used to evaluate the stability of the bucket foundation based on the relative relationship between the failure envelope and the actual load conditions, which can provide practical guidance for engineering design.

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17

Guo, Baohua, Long Wang, Yizhe Li, and Yan Chen. "Triaxial Strength Criteria in Mohr Stress Space for Intact Rocks." Advances in Civil Engineering 2020 (October 20, 2020): 1–13. http://dx.doi.org/10.1155/2020/8858363.

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Conventional triaxial strength criteria are important for the judgment of rock failure. Linear, parabolic, power, logarithmic, hyperbolic, and exponential equations were, respectively, established to fit the conventional triaxial compression test data for 19 types of rock specimens in the Mohr stress space. Then, a method for fitting the failure envelope to all common tangent points of each two adjacent Mohr’s circles (abbreviated as CTPAC) was proposed in the Mohr stress space. The regression accuracy of the linear equation is not as good as those of the nonlinear equations on the whole, and the regression uniaxial compression strength (σc)r, tensile strength (σt)r, cohesion cr, and internal frictional angle φr predicted by the regression linear failure envelopes with the method for fitting the CTPAC in the Mohr stress space are close to those predicted in the principal stress space. Therefore, the method for fitting CTPAC is feasible to determine the failure envelopes in the Mohr stress space. The logarithmic, hyperbolic, and exponential equations are recommended to obtain the failure envelope in the Mohr stress space when the data of tensile strength (σt)t are or are not included in regression owing to their higher R2, less positive x-intercepts, and more accurate regression cohesion cr. Furthermore, based on the shape and development trend of the nonlinear strength envelope, it is considered that when the normal stress is infinite, the total bearing capacity of rock tends to be a constant after gradual increase with decreasing rates. Thus, the hyperbolic equation and the exponential equation are more suitable to fit triaxial compression strength in a higher maximum confining pressure range because they have limit values. The conclusions can provide references for the selection of the triaxial strength criterion in practical geotechnical engineering.

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18

Gourvenec, S. "Failure envelopes for offshore shallow foundations under general loading." Géotechnique 57, no. 9 (November 2007): 715–28. http://dx.doi.org/10.1680/geot.2007.57.9.715.

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19

Pincus, H. J. "Closed-form/least-squares failure envelopes for rock strength." International Journal of Rock Mechanics and Mining Sciences 37, no. 5 (July 2000): 763–85. http://dx.doi.org/10.1016/s1365-1609(00)00011-3.

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20

Schöpfer, Martin P. J., Conrad Childs, and Tom Manzocchi. "Three-dimensional failure envelopes and the brittle-ductile transition." Journal of Geophysical Research: Solid Earth 118, no. 4 (April 2013): 1378–92. http://dx.doi.org/10.1002/jgrb.50081.

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21

Consoli, Nilo Cesar, Lucas Festugato, Bernardo Scapini Consoli, and Luizmar da Silva Lopes. "Assessing Failure Envelopes of Soil–Fly Ash–Lime Blends." Journal of Materials in Civil Engineering 27, no. 5 (May 2015): 04014174. http://dx.doi.org/10.1061/(asce)mt.1943-5533.0001134.

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22

Ravi Sharma, M. S., Christopher D. P. Baxter, Wilhelm Hoffmann, Kathryn Moran, and Hans Vaziri. "Characterization of weakly cemented sands using nonlinear failure envelopes." International Journal of Rock Mechanics and Mining Sciences 48, no. 1 (January 2011): 146–51. http://dx.doi.org/10.1016/j.ijrmms.2010.06.008.

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23

Caddock, B. D., K. E. Evans, and D. Hull. "Stress-corrosion failure envelopes for E-glass fibre bundles." Journal of Materials Science 25, no. 5 (May 1990): 2498–502. http://dx.doi.org/10.1007/bf00638049.

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24

Arnold, W. S., M. D. Robb, and I. H. Marshall. "Failure envelopes for notched CSM laminates under biaxial loading." Composites 26, no. 11 (November 1995): 739–47. http://dx.doi.org/10.1016/0010-4361(95)98194-p.

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25

Zhang, W., and K. E. Evans. "Effect of changes in elastic constants on the strength of composites." Journal of Strain Analysis for Engineering Design 23, no. 4 (October 1, 1988): 213–21. http://dx.doi.org/10.1243/03093247v234213.

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Tensor polynomial, maximum stress, and maximum strain criteria are considered in an investigation of the effect of varying elastic constants on the failure strength of composites. By expressing each criterion in the alternative stress or strain space they are made explicitly dependent on elastic constants as well as strength parameters. The significance of this result is highlighted by an example of the variation in failure envelope produced by altering the Poisson's ratio of the composite material. In particular the failure envelopes for a high strength graphite/epoxy resin (SP-286/T300) composite lamina are examined as a function of variations in the material's Poisson's ratio. The limits in the variation of the Poisson's ratio for this composite lamina are identified.

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26

Dutra, Thiago Assis, Rafael Thiago Luiz Ferreira, Hugo Borelli Resende, Brina Jane Blinzler, and Ragnar Larsson. "Expanding Puck and Schürmann Inter Fiber Fracture Criterion for Fiber Reinforced Thermoplastic 3D-Printed Composite Materials." Materials 13, no. 7 (April 2, 2020): 1653. http://dx.doi.org/10.3390/ma13071653.

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The present work expands the application of Puck and Schürmann Inter-Fiber Fracture criterion to fiber reinforced thermoplastic 3D-printed composite materials. The effect of the ratio between the transverse compressive strength and the in-plane shear strength is discussed and a new transition point between the fracture conditions under compressive loading is proposed. The recommended values of the inclination parameters, as well as their effects on the proposed method, are also discussed. Failure envelopes are presented for different 3D-printed materials and also for traditional composite materials. The failure envelopes obtained here are compared to those provided by the original Puck and Schürmann criterion and to those provided by Gu and Chen. The differences between them are analyzed with the support of geometrical techniques and also statistical tools. It is demonstrated that the Expanded Puck and Schürmann is capable of providing more suitable failure envelopes for fiber reinforced thermoplastic 3D-printed composite materials in addition to traditional semi-brittle, brittle and intrinsically brittle composite materials.

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27

Suryasentana, Stephen K., Helen P. Dunne, Christopher M. Martin, Harvey J. Burd, Byron W. Byrne, and Avi Shonberg. "Assessment of numerical procedures for determining shallow foundation failure envelopes." Géotechnique 70, no. 1 (January 2020): 60–70. http://dx.doi.org/10.1680/jgeot.18.p.055.

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28

Hale, J. M., B. A. Shaw, S. D. Speake, and A. G. Gibson. "High temperature failure envelopes for thermosetting composite pipes in water." Plastics, Rubber and Composites 29, no. 10 (October 2000): 539–48. http://dx.doi.org/10.1179/146580100101540752.

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29

Iovino, M., R. M. S. Maiorano, L. de Sanctis, and S. Aversa. "Failure envelopes of pile groups under inclined and eccentric load." Géotechnique Letters 11, no. 3 (September 1, 2021): 1–24. http://dx.doi.org/10.1680/jgele.21.00059.

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30

Rahman, Mohammad M., Mandy Munzig, Kiyomi Kaneshiro, Brandon Lee, Susan Strome, Thomas Müller-Reichert, and Orna Cohen-Fix. "Caenorhabditis elegans polo-like kinase PLK-1 is required for merging parental genomes into a single nucleus." Molecular Biology of the Cell 26, no. 25 (December 15, 2015): 4718–35. http://dx.doi.org/10.1091/mbc.e15-04-0244.

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Before the first zygotic division, the nuclear envelopes of the maternal and paternal pronuclei disassemble, allowing both sets of chromosomes to be incorporated into a single nucleus in daughter cells after mitosis. We found that in Caenorhabditis elegans, partial inactivation of the polo-like kinase PLK-1 causes the formation of two nuclei, containing either the maternal or paternal chromosomes, in each daughter cell. These two nuclei gave rise to paired nuclei in all subsequent cell divisions. The paired-nuclei phenotype was caused by a defect in forming a gap in the nuclear envelopes at the interface between the two pronuclei during the first mitotic division. This was accompanied by defects in chromosome congression and alignment of the maternal and paternal metaphase plates relative to each other. Perturbing chromosome congression by other means also resulted in failure to disassemble the nuclear envelope between the two pronuclei. Our data further show that PLK-1 is needed for nuclear envelope breakdown during early embryogenesis. We propose that during the first zygotic division, PLK-1–dependent chromosome congression and metaphase plate alignment are necessary for the disassembly of the nuclear envelope between the two pronuclei, ultimately allowing intermingling of the maternal and paternal chromosomes.

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31

Daniel, I. M., E. E. Gdoutos, and K. A. Wang. "Failure of Composite Sandwich Beams." Advanced Composites Letters 11, no. 3 (May 2002): 096369350201100. http://dx.doi.org/10.1177/096369350201100301.

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A thorough investigation of failure behaviour of composite sandwich beams under three- and four-point bending was undertaken. The beams were made of unidirectional carbon/epoxy facings and a PVC closed-cell foam core. The constituent materials were fully characterised and in the case of the foam core, failure envelopes were developed for general two-dimensional states of stress. Various failure modes including facing wrinkling, indentation failure and core failure were observed and compared with analytical predictions. The initiation, propagation and interaction of failure modes depend on the type of loading, constituent material properties and geometrical dimensions.

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32

Sri, Tud Jono, Aylie Han, and Lie Hendri Hariwijaya. "Reinforced Concrete Finite Element Analysis Incorporating Material Nonlinearity and Failure Criteria Aspects." Applied Mechanics and Materials 284-287 (January 2013): 1230–34. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.1230.

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The behavior of concrete is highly nonlinear, even at very low loading levels. Steel, on the other hand, exhibits a relatively linear behavior up till yielding. The synergy between the two materials and their compatibility has long been the subject of research. While the failure criterion for steel is straight forward, concrete can be approached by various theories. The most prominent are the Kupfer-Hilsdorf-Rusch and the Möhr failure envelope. The behavior of material under bi-axial stresses subsequent to cracking can be assumed isotropic or orthotropic, resulting in a differentiation in the material constitutive matrix formulation. This work covers the finite element modeling of reinforced concrete elements, based on the two failure envelopes, while assessing the isotropic and orthotropic methodology. The Finite Element smeared crack approach is used to analyze stresses and the propagation of cracking pattern for the element. The resulting load – displacement curves are validated with identical laboratory tested specimens.

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33

Sun, C. "Prediction of failure envelopes and stress/strain behaviour of composite laminates." Composites Science and Technology 58, no. 7 (July 1998): 1125–36. http://dx.doi.org/10.1016/s0266-3538(97)00013-4.

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34

Gargiulo, C., M. Marchetti, and A. Rizzo. "Prediction of failure envelopes of composite tubes subjected to biaxial loadings." Acta Astronautica 39, no. 5 (September 1996): 355–68. http://dx.doi.org/10.1016/s0094-5765(96)00081-1.

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35

Stafford, J. V., E. Audsley, and J. R. Sharp. "The determination of best fit linear failure envelopes to Mohr circles." Journal of Agricultural Engineering Research 33, no. 1 (January 1986): 33–38. http://dx.doi.org/10.1016/s0021-8634(86)80027-0.

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36

Mehravar, Moura, Ouahid Harireche, and Asaad Faramarzi. "Evaluation of undrained failure envelopes of caisson foundations under combined loading." Applied Ocean Research 59 (September 2016): 129–37. http://dx.doi.org/10.1016/j.apor.2016.05.001.

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37

Eid, Hisham T. "Stability charts for uniform slopes in soils with nonlinear failure envelopes." Engineering Geology 168 (January 2014): 38–45. http://dx.doi.org/10.1016/j.enggeo.2013.10.021.

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38

Hentati, Amal, Mbarka Selmi, Tarek Kormi, and Nizar Bel Hadj Ali. "Probabilistic HM failure envelopes of strip foundations on spatially variable soil." Computers and Geotechnics 102 (October 2018): 66–78. http://dx.doi.org/10.1016/j.compgeo.2018.06.001.

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39

Levi-Sasson, Aviad, Jacob Aboudi, Anton Matzenmiller, and Rami Haj-Ali. "Failure envelopes for laminated composites by the parametric HFGMC micromechanical framework." Composite Structures 140 (April 2016): 378–89. http://dx.doi.org/10.1016/j.compstruct.2015.12.035.

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40

Barari, Amin, Vali Ghaseminejad, and Lars Bo Ibsen. "Failure Envelopes for Combined Loading of Skirted Foundations in Layered Deposits." Journal of Waterway, Port, Coastal, and Ocean Engineering 147, no. 4 (July 2021): 04021008. http://dx.doi.org/10.1061/(asce)ww.1943-5460.0000639.

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41

Gdoutos, E., and I. M. Daniel. "Failure modes of composite sandwich beams." Theoretical and Applied Mechanics 35, no. 1-3 (2008): 105–18. http://dx.doi.org/10.2298/tam0803105g.

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A thorough investigation of failure behavior of composite sandwich beams under three-and four-point bending was undertaken. The beams were made of unidirectional carbon/epoxy facings and a PVC closed-cell foam core. The constituent materials were fully characterized and in the case of the foam core, failure envelopes were developed for general two-dimensional states of stress. Various failure modes including facing wrinkling, indentation failure and core failure were observed and compared with analytical predictions. The initiation, propagation and interaction of failure modes depend on the type of loading, constituent material properties and geometrical dimensions.

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42

Nakayasu, Hidetoshi, and Zen'ichiro Maekawa. "A comparative study of failure criteria in probabilistic fields and stochastic failure envelopes of composite materials." Reliability Engineering & System Safety 56, no. 3 (June 1997): 209–20. http://dx.doi.org/10.1016/s0951-8320(95)00085-2.

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Schulson, E. M., and O. Y. Nickolayev. "Failure of columnar saline ice under biaxial compression: Failure envelopes and the brittle-to-ductile transition." Journal of Geophysical Research: Solid Earth 100, B11 (November 10, 1995): 22383–400. http://dx.doi.org/10.1029/95jb02513.

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Wang, Wan Zhen, Yuan Jiang Chen, and Fei Yi Chen. "An Egg Shaped Failure Criterion for Lightweight Aggregate Concrete." Advanced Materials Research 250-253 (May 2011): 2085–88. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.2085.

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Referring to an egg shaped yield function for geotechnical materials, a failure criterion for light-weight aggregate concrete is put forward, in which the tensile and compressive meridians are egg shaped curves and the failure envelopes in deviated plane is smooth elliptic curves. The suggested failure criteria could describe the failure characteristic of lightweight aggregate concrete at different stress state. The precision of the suggested egg shaped failure criteria is verified by comparing with experiment data of lightweight aggregate concrete.

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Tan, J. L. Y., V. S. Deshpande, and N. A. Fleck. "Prediction of failure in notched carbon-fibre-reinforced-polymer laminates under multi-axial loading." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2071 (July 13, 2016): 20150273. http://dx.doi.org/10.1098/rsta.2015.0273.

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A damage-based finite-element model is used to predict the fracture behaviour of centre-notched quasi-isotropic carbon-fibre-reinforced-polymer laminates under multi-axial loading. Damage within each ply is associated with fibre tension, fibre compression, matrix tension and matrix compression. Inter-ply delamination is modelled by cohesive interfaces using a traction-separation law. Failure envelopes for a notch and a circular hole are predicted for in-plane multi-axial loading and are in good agreement with the observed failure envelopes from a parallel experimental study. The ply-by-ply (and inter-ply) damage evolution and the critical mechanisms of ultimate failure also agree with the observed damage evolution. It is demonstrated that accurate predictions of notched compressive strength are obtained upon employing the band broadening stress for microbuckling, highlighting the importance of this damage mode in compression. This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.

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Suryasentana, Stephen K., Harvey J. Burd, Byron W. Byrne, and Avi Shonberg. "A systematic framework for formulating convex failure envelopes in multiple loading dimensions." Géotechnique 70, no. 4 (April 2020): 343–53. http://dx.doi.org/10.1680/jgeot.18.p.251.

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Mai, Anh Duc, M. Neaz Sheikh, and Muhammad N. S. Hadi. "Failure envelopes of square and circularized RC columns discretely confined with CFRP." Construction and Building Materials 261 (November 2020): 119937. http://dx.doi.org/10.1016/j.conbuildmat.2020.119937.

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Speed, Allan, Alexander Groetsch, J. Jakob Schwiedrzik, and Uwe Wolfram. "Extrafibrillar matrix yield stress and failure envelopes for mineralised collagen fibril arrays." Journal of the Mechanical Behavior of Biomedical Materials 105 (May 2020): 103563. http://dx.doi.org/10.1016/j.jmbbm.2019.103563.

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Tian, Su, and Wenbin Yu. "Adaptive sampling assisted surrogate modeling of initial failure envelopes of composite structures." Composite Structures 269 (August 2021): 113985. http://dx.doi.org/10.1016/j.compstruct.2021.113985.

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Varghese, J., and A. Dasgupta. "An experimental approach to characterize rate-dependent failure envelopes and failure site transitions in surface mount assemblies." Microelectronics Reliability 47, no. 7 (July 2007): 1095–102. http://dx.doi.org/10.1016/j.microrel.2006.07.002.

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