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Aspects of the use of orthogonal basis functions in the element-free Galerkin method (2010)
Journal Article
Zhuang, X., & Augarde, C. (2010). Aspects of the use of orthogonal basis functions in the element-free Galerkin method. International Journal for Numerical Methods in Engineering, 81(3), 366-380. https://doi.org/10.1002/nme.2696

The element free Galerkin (EFG) method is probably the most widely used meshless method at present. In the EFG method, shape functions are derived from a moving least squares approximation using a polynomial basis, a calculation involving the inversi... Read More about Aspects of the use of orthogonal basis functions in the element-free Galerkin method.

Parameter Identification of BBM Model Using a Parallel Asynchronous Differential Evolution Algorithm (2010)
Conference Proceeding
Zhang, Y., Feng, X., Gallipoli, D., & Augarde, C. E. (2010). Parameter Identification of BBM Model Using a Parallel Asynchronous Differential Evolution Algorithm. In E. Alonso, & A. Gens (Eds.), Unsaturated soils : proceedings of the Fifth International Conference on Unsaturated Soils, Barcelona, Spain, 6-8 September 2010 (1001-1007). https://doi.org/10.1201/b10526-154

Advances in meshless methods with application to geotechnics (2010)
Conference Proceeding
Heaney, C., Augarde, C., Deeks, A., Coombs, W., & Crouch, R. (2010). Advances in meshless methods with application to geotechnics. In T. Benz, & S. Nordal (Eds.), Numerical Methods in Geotechnical Engineering (239-244)

Finite element methods are well-established for modelling problems in geotechnics involving elasto-plastic constitutive models. However, meshless methods could offer some advantages for problems involving finite deformations as the mesh entanglement... Read More about Advances in meshless methods with application to geotechnics.

70-line 3D finite deformation elastoplastic finite-element code (2010)
Conference Proceeding
Coombs, W., Crouch, R., & Augarde, C. (2010). 70-line 3D finite deformation elastoplastic finite-element code. In B. T., & N. S. (Eds.), Numerical methods in geotechnical engineering : proceedings of the seventh european conference on numerical methods in geotechnical engineering, Trondheim, Norway, 2-4 June 2010 (151-156). https://doi.org/10.1201/b10551-28

Few freeware FE programs offer the capabilities to include 3D finite deformation inelastic continuum analysis; those that do are typically expressed in tens of thousands of lines. This paper offers for the first time compact MATLAB scripts forming a... Read More about 70-line 3D finite deformation elastoplastic finite-element code.

A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics (2010)
Journal Article
Bird, G., Trevelyan, J., & Augarde, C. (2010). A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics. Engineering Analysis with Boundary Elements, 34(6), 599-610. https://doi.org/10.1016/j.enganabound.2010.01.007

Issues relating to the practical implementation of the coupled boundary element–scaled boundary finite element method are addressed in this paper. A detailed approach highlights fully the process of applying boundary conditions, including the treatme... Read More about A coupled BEM/Scaled Boundary FEM formulation for accurate computations in linear elastic fracture mechanics.

Modelling elasto-plasticity using the hybrid MLPG method (2010)
Journal Article
Heaney, C., Augarde, C., & Deeks, A. (2010). Modelling elasto-plasticity using the hybrid MLPG method. Computer Modeling in Engineering & Sciences, 56(2), 153-178

Meshless methods continue to generate strong interest as alternatives to conventional finite element methods. One major area of application as yet relatively unexplored with meshless methods is elasto-plasticity. In this paper we extend a novel numer... Read More about Modelling elasto-plasticity using the hybrid MLPG method.

A new partition of unity finite element free from the linear dependence problem and possessing the delta property (2010)
Journal Article
Cai, Y., Zhuang, X., & Augarde, C. (2010). A new partition of unity finite element free from the linear dependence problem and possessing the delta property. Computer Methods in Applied Mechanics and Engineering, 199(17-20), 1036-1043. https://doi.org/10.1016/j.cma.2009.11.019

Partition-of-unity based finite element methods (PUFEMs) have appealing capabilities for p-adaptivity and local refinement with minimal or even no remeshing of the problem domain. However, PUFEMs suffer from a number of problems that practically limi... Read More about A new partition of unity finite element free from the linear dependence problem and possessing the delta property.

Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent (2010)
Journal Article
Coombs, W., Crouch, R., & Augarde, C. (2010). Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent. Computer Methods in Applied Mechanics and Engineering, 199(25-28), 1733-1743. https://doi.org/10.1016/j.cma.2010.01.017

Analytical backward Euler stress integration is presented for a deviatoric yielding criterion based on a modified Reuleaux triangle. The criterion is applied to a cone model which allows control over the shape of the deviatoric section, independent o... Read More about Reuleaux plasticity: analytical backward Euler stress integration and consistent tangent.