Suchergebnisse - Complex-variable finite element method

  1. 1

    A virtual crack extension method for thermoelastic fracture using a complex-variable finite element method von Ramirez Tamayo, Daniel, Montoya, Arturo, Millwater, Harry

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: New York Elsevier Ltd 01.04.2018
    Veröffentlicht in Engineering fracture mechanics (01.04.2018)
    “… A virtual crack extension (VCE) technique using the complex-variable finite element method (ZFEM …”
    Volltext
    Journal Article
  2. 2

    A virtual crack extension method to compute energy release rates using a complex variable finite element method von Millwater, H., Wagner, D., Baines, A., Montoya, A.

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: Elsevier Ltd 01.08.2016
    Veröffentlicht in Engineering fracture mechanics (01.08.2016)
    “… The complex-valued finite element method, ZFEM, is proposed as a new virtual crack extension method to compute the energy release rate …”
    Volltext
    Journal Article
  3. 3

    A complex-variable finite element method-based inverse methodology to extract constitutive parameters using experimental data von Ramirez-Tamayo, Daniel, Soulami, Ayoub, Gupta, Varun, Restrepo, David, Montoya, Arturo, Nickerson, Ethan, Roosendaal, Timothy, Simmons, Kevin, Petrossian, Gayaneh, Millwater, Harry

    ISSN: 0020-7683, 1879-2146
    Veröffentlicht: New York Elsevier Ltd 15.05.2022
    Veröffentlicht in International journal of solids and structures (15.05.2022)
    “… These sensitivities were used to solve the optimization problem using an accurate, efficient, gradient-based method, and were computed using the complex-variable finite element method, ZFEM. The use …”
    Volltext
    Journal Article
  4. 4

    Sensitivity analysis for problems exhibiting geometric nonlinearities and follower loads using the complex-variable finite element method von Lamy, Hameed S., Avila, David, Aristizabal, Mauricio, Restrepo, David, Millwater, Harry, Montoya, Arturo

    ISSN: 0168-874X
    Veröffentlicht: Elsevier B.V 01.10.2025
    Veröffentlicht in Finite elements in analysis and design (01.10.2025)
    “… displacement-dependent forces. The method utilizes the complex-variable finite element method (ZFEM …”
    Volltext
    Journal Article
  5. 5

    Tearing energy calculation in hyperelastic fracture mechanics using the local and global complex-variable finite element method von Ytuarte, Ernest, Aguirre-Mesa, Andres M., Ramirez-Tamayo, Daniel, Avila, David, Millwater, Harry, Restrepo, David, Montoya, Arturo

    ISSN: 0020-7683, 1879-2146
    Veröffentlicht: New York Elsevier Ltd 15.03.2022
    Veröffentlicht in International journal of solids and structures (15.03.2022)
    “… The “local” and “global” complex-variable finite element methods were extended for computing the energy release rate (ERR …”
    Volltext
    Journal Article
  6. 6

    Residual stress sensitivity analysis using a complex variable finite element method von Fielder, Randal, Montoya, Arturo, Millwater, Harry, Golden, Patrick

    ISSN: 0020-7403, 1879-2162
    Veröffentlicht: Elsevier Ltd 01.11.2017
    Veröffentlicht in International journal of mechanical sciences (01.11.2017)
    “… •ZFEM can obtain sensitivities while simulating the manufacturing processes. [Display omitted] The application of the complex variable finite element method, ZFEM, to structures containing residual stresses is detailed …”
    Volltext
    Journal Article
  7. 7

    Transient thermomechanical sensitivity analysis using a complex-variable finite element method von Rios, G. Aaron, Sebastián Rincón Tabares, Juan, Montoya, Arturo, Restrepo, David, Millwater, Harry

    ISSN: 0149-5739, 1521-074X
    Veröffentlicht: Philadelphia Taylor & Francis 04.05.2022
    Veröffentlicht in Journal of thermal stresses (04.05.2022)
    “… ). The analysis was conducted by employing a complex-variable user element within the Abaqus commercial finite element software, herein called ZFEM, using real and imaginary nodal degrees of freedom (DOF …”
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    Journal Article
  8. 8
  9. 9

    Sensitivity Analysis for Transient Thermal Problems Using the Complex-Variable Finite Element Method von Rincon-Tabares, Juan-Sebastian, Velasquez-Gonzalez, Juan C., Ramirez-Tamayo, Daniel, Montoya, Arturo, Millwater, Harry, Restrepo, David

    ISSN: 2076-3417, 2076-3417
    Veröffentlicht: Basel MDPI AG 01.03.2022
    Veröffentlicht in Applied sciences (01.03.2022)
    “… Here, we combine the complex-variable differentiation theory with the finite …”
    Volltext
    Journal Article
  10. 10

    Efficient estimate of residual stress variance using complex variable finite element methods von Fielder, Randal, Millwater, Harry, Montoya, Arturo, Golden, Patrick

    ISSN: 0308-0161, 1879-3541
    Veröffentlicht: Elsevier Ltd 01.06.2019
    “… probability of failure over the operating life of the structural component has been reduced. This research demonstrates an approximate but efficient method whereby the variance …”
    Volltext
    Journal Article
  11. 11

    Finite Element Sensitivity for Large Deformation Problems Using the Complex Variable Finite Element Method von Abrar, Md Minhajul

    ISBN: 9780438739482, 0438739485
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2018
    “… The complex variable finite element method (ZFEM) has been enhanced to compute sensitivity derivatives of output variables of interest with respect to shape, material properties, and load parameters in large deformation elasticity …”
    Volltext
    Dissertation
  12. 12

    A complex-variable cohesive finite element subroutine to enable efficient determination of interfacial cohesive material parameters von Ramirez-Tamayo, Daniel, Soulami, Ayoub, Gupta, Varun, Restrepo, David, Montoya, Arturo, Millwater, Harry

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: New York Elsevier Ltd 15.04.2021
    Veröffentlicht in Engineering fracture mechanics (15.04.2021)
    “… In particular, the PPR cohesive element (Park et al., 2009), was extended using complex variables as a user element for the well-known commercial finite element program, Abaqus …”
    Volltext
    Journal Article
  13. 13

    A complex-variable virtual crack extension finite element method for elastic-plastic fracture mechanics von Montoya, Arturo, Ramirez-Tamayo, Daniel, Millwater, Harry, Kirby, Matthew

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: New York Elsevier Ltd 15.10.2018
    Veröffentlicht in Engineering fracture mechanics (15.10.2018)
    “… ) approach for computing the energy release rate using a complex-variable finite element method (ZFEM …”
    Volltext
    Journal Article
  14. 14

    Computation of two dimensional mixed-mode stress intensity factor rates using a complex-variable interaction integral von Aguirre-Mesa, Andres M., Restrepo-Velasquez, Sara, Ramirez-Tamayo, Daniel, Montoya, Arturo, Millwater, Harry

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: Elsevier Ltd 01.01.2023
    Veröffentlicht in Engineering fracture mechanics (01.01.2023)
    “… The derivatives of the actual displacement fields are computed using a hypercomplex-variable finite element method (ZFEM …”
    Volltext
    Journal Article
  15. 15

    A stiffness derivative local hypercomplex-variable finite element method for computing the energy release rate von Aguirre-Mesa, Andres M., Ramirez-Tamayo, Daniel, Garcia, Manuel J., Montoya, Arturo, Millwater, Harry

    ISSN: 0013-7944, 1873-7315
    Veröffentlicht: New York Elsevier Ltd 01.09.2019
    Veröffentlicht in Engineering fracture mechanics (01.09.2019)
    “… •An extension to second order derivatives is also developed and demonstrated. A “local” hypercomplex-variable finite element method, L-ZFEM, is proposed for the computation of the energy release rate (ERR …”
    Volltext
    Journal Article
  16. 16

    Mixed-mode stress intensity factors computation in functionally graded materials using a hypercomplex-variable finite element formulation von Ramirez-Tamayo, Daniel, Balcer, Matthew, Montoya, Arturo, Millwater, Harry

    ISSN: 0376-9429, 1573-2673
    Veröffentlicht: Dordrecht Springer Netherlands 01.12.2020
    Veröffentlicht in International journal of fracture (01.12.2020)
    “… The hypercomplex-variable finite element method, ZFEM, is extended to compute the mode I and mode II energy release rates (ERR …”
    Volltext
    Journal Article
  17. 17

    Complex variable methods for shape sensitivity of finite element models von Voorhees, Andrew, Millwater, Harry, Bagley, Ronald

    ISSN: 0168-874X, 1872-6925
    Veröffentlicht: Amsterdam Elsevier B.V 01.10.2011
    Veröffentlicht in Finite elements in analysis and design (01.10.2011)
    “… Complex variable methods for shape sensitivity analysis have some potential advantages over other methods …”
    Volltext
    Journal Article
  18. 18

    Sensitivity Analysis of Hyperelastic Problems Using the Local and Global Complex-Variable Finite Element Methods von Ytuarte, Ernest

    ISBN: 9798438750826
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2022
    “… A new sensitivity approach based on the Complex-Variable Finite Element Method (ZFEM) was developed to analyze problems involving hyperelastic materials and large geometric deformations …”
    Volltext
    Dissertation
  19. 19

    Transient Thermomechanical Sensitivity Analysis Using a Complex-Variable Finite Element Method and Development of a High-Throughput Tensile Test Protocol for Ti-6Al-4V Additively Manufactured (AM) Components von Rios, Gerardo Aaron

    ISBN: 9798438751786
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2022
    “… ). The analysis was conducted by employing a complex-variable user element within the Abaqus commercial finite element software, herein called ZFEM, using real and imaginary nodal degrees of freedom (DOF …”
    Volltext
    Dissertation
  20. 20

    Sensitivity analysis in thermoelastic problems using the complex finite element method von Montoya, Arturo, Millwater, Harry

    ISSN: 0149-5739, 1521-074X
    Veröffentlicht: Philadelphia Taylor & Francis 04.03.2017
    Veröffentlicht in Journal of thermal stresses (04.03.2017)
    “… ZFEM, based on the complex Taylor series approach, performs finite element procedures using complex variables such that the response variables (temperature, stress …”
    Volltext
    Journal Article