Nonlinear solid mechanics for finite element analysis: statics. Designing engineering components that make optimal use of materials requires consideration of the nonlinear static and dynamic characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, which requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both the nonlinear solid mechanics and the associated finite element techniques together, the authors provide, in the first of two books in this series, a complete, clear, and unified treatment of the static aspects of nonlinear solid mechanics. Alongside a range of worked examples and exercises are user instructions, program descriptions, and examples for the FLagSHyP MATLAB computer implementation, for which the source code is available online. While this book is designed to complement postgraduate courses, it is also relevant to those in industry requiring an appreciation of the way their computer simulation programs work.

References in zbMATH (referenced in 23 articles , 1 standard article )

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  1. Haeri, Amin; Skonieczny, Krzysztof: Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity (2022)
  2. Marín, F.; Ortigosa, R.; Martínez-Frutos, J.; Gil, A. J.: Viscoelastic up-scaling rank-one effects in in-silico modelling of electro-active polymers (2022)
  3. Vo, Duy; Nanakorn, Pruettha; Bui, Tinh Quoc; Rungamornrat, Jaroon: On invariance of spatial isogeometric Timoshenko-Ehrenfest beam formulations for static analysis (2022)
  4. Bonet, Javier; Lee, Chun Hean; Gil, Antonio J.; Ghavamian, Ataollah: A first order hyperbolic framework for large strain computational solid dynamics. III: Thermo-elasticity (2021)
  5. Marín, F.; Martínez-Frutos, J.; Ortigosa, R.; Gil, A. J.: A convex multi-variable based computational framework for multilayered electro-active polymers (2021)
  6. Platzer, Auriane; Leygue, Adrien; Stainier, Laurent; Ortiz, Michael: Finite element solver for data-driven finite strain elasticity (2021)
  7. Wu, Shao-Wei; Jiang, Chao; Jiang, Chen; Niu, Rui-Ping; Wan, De-Tao; Liu, G. R.: A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics (2021)
  8. Barroso, G.; Seoane, M.; Gil, A. J.; Ledger, P. D.; Mallett, M.; Huerta, A.: A staggered high-dimensional proper generalised decomposition for coupled magneto-mechanical problems with application to MRI scanners (2020)
  9. Barroso, Guillem; Gil, Antonio J.; Ledger, Paul D.; Mallett, Mike; Huerta, Antonio: A regularised-adaptive proper generalised decomposition implementation for coupled magneto-mechanical problems with application to MRI scanners (2020)
  10. Groß, Michael; Dietzsch, Julian; Röbiger, Chris: Non-isothermal energy-momentum time integrations with drilling degrees of freedom of composites with viscoelastic fiber bundles and curvature-twist stiffness (2020)
  11. Nguyen-Thanh, Vien Minh; Zhuang, Xiaoying; Rabczuk, Timon: A deep energy method for finite deformation hyperelasticity (2020)
  12. Ortigosa, Rogelio; Ruiz, D.; Gil, A. J.; Donoso, A.; Bellido, J. C.: A stabilisation approach for topology optimisation of hyperelastic structures with the SIMP method (2020)
  13. Palizi, Mehrdad; Federico, Salvatore; Adeeb, Samer: Consistent numerical implementation of hypoelastic constitutive models (2020)
  14. Groß, Michael; Dietzsch, Julian: Variational-based locking-free energy-momentum schemes of higher-order for thermo-viscoelastic fiber-reinforced continua (2019)
  15. Guo, Mengwu; Hesthaven, Jan S.: Data-driven reduced order modeling for time-dependent problems (2019)
  16. Lee, Chun Hean; Gil, Antonio J.; Ghavamian, Ataollah; Bonet, Javier: A total Lagrangian upwind smooth particle hydrodynamics algorithm for large strain explicit solid dynamics (2019)
  17. Terrana, S.; Nguyen, N. C.; Bonet, J.; Peraire, J.: A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures (2019)
  18. Groß, Michael; Dietzsch, Julian; Bartelt, Matthias: Variational-based higher-order accurate energy-momentum schemes for thermo-viscoelastic fiber-reinforced continua (2018)
  19. Guo, Mengwu; Hesthaven, Jan S.: Reduced order modeling for nonlinear structural analysis using Gaussian process regression (2018)
  20. Haider, Jibran; Lee, Chun Hean; Gil, Antonio J.; Huerta, Antonio; Bonet, Javier: An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications (2018)

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