- Elasticity and Material Modeling
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Contact Mechanics and Variational Inequalities
- Composite Structure Analysis and Optimization
- Nonlocal and gradient elasticity in micro/nano structures
- Composite Material Mechanics
- Microstructure and mechanical properties
- Advanced Mathematical Modeling in Engineering
- Thermoelastic and Magnetoelastic Phenomena
- Elasticity and Wave Propagation
- Rheology and Fluid Dynamics Studies
- Coronary Interventions and Diagnostics
- Structural Load-Bearing Analysis
- Lattice Boltzmann Simulation Studies
- Topology Optimization in Engineering
- Metal Forming Simulation Techniques
- Vibration and Dynamic Analysis
- Geotechnical Engineering and Underground Structures
- Force Microscopy Techniques and Applications
- Structural Analysis and Optimization
- Computational Fluid Dynamics and Aerodynamics
- Electrospun Nanofibers in Biomedical Applications
- Structural Health Monitoring Techniques
- Mechanical stress and fatigue analysis
University of Cape Town
2014-2023
Research Network (United States)
2022
3C Institute
2017
Centre for High Performance Computing
2014
Ochsner Medical Center
2003
University of Iowa
1995-1997
University of Maryland, Baltimore County
1997
John Brown University
1990
San Diego State University
1989
Brunel University of London
1983
Contents.- Introduction.- Linear Functional Analysis.- Sets.- The algebra of sets.- Sets numbers.- Rn and its subsets.- Relations, equivalence classes Zorn's lemma.- Theorem-proving.- Bibliographical remarks.- Exercises.- functions Lebesgue integration.- Continuous functions.- Meansure sets in Rn.- integration the space Lp(_).- remarks .- Vector spaces, normed inner product spaces.
In the present contribution, an innovative stabilization technique for two-dimensional low-order finite elements is presented. The new approach results in element formulation that much simpler than recently proposed enhanced strain formulation, yet which gives of at least same quality. An important feature regime large deformations stability element, addressed detail. main advantages are, besides its simplicity, computational efficiency and robust behaviour. Only three history variables have...
This work was concerned with the numerical simulation of behaviour aortic valves whose material can be modelled as non-linear elastic anisotropic. Linear models for valve leaflets parameters used in previous studies were compared hyperelastic models, incorporating leaflet anisotropy pronounced stiffness circumferential direction through a transverse isotropic model. The obtained from fits to results orthogonal uniaxial tensile tests on porcine leaflets. computational indicated significant...
Liver disorders account for about approximately 2 million deaths worldwide, 1 due to complications of cirrhosis. Approximately two third all liver related death occur in men. Particularly the incidence NAFLD among adults is 32% and higher males (40%) than females (26%)1. In recent days named as Metabolic Dysfunction Associated Steatotic disease (MASLD). Since this occurs metabolic dysfunction that includes predisposing factors such obesity, diabetes, genetics etc cannot be traced easily can...
Increasing worldwide environmental awareness is encouraging scientists and engineers to concentrate on eco - friendly components available in natural resources. Continuous search by academic research Industrial for new materials since 20 th century. Composites, the wonder material with lightweight, high strength-to-weight ratio stiffness properties have come a long way replacing conventional like metals, woods etc. Therefore, Composites of polymers both (thermoset thermoplastic) resources...
A stability and convergence analysis is presented of a recently proposed variational formulation finite element method for elasticity, which incorporates an enhanced strain field. The carried out problems posed on polygonal domains in $R^n $, the meshes are generated by affine maps from master element. as special case classical incompatible modes. problem initially has three variables, viz, displacement, stress, strain, but stress later eliminated imposing condition orthogonality with...
The methods of convex analysis are used to explore in greater depth the nature evolution equation internal variable formulations elastoplasticity. is considered a form which thermodynamic force belongs set defined by multi-valued map <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G"> <mml:semantics> <mml:mi>G</mml:mi> <mml:annotation encoding="application/x-tex">G</mml:annotation> </mml:semantics> </mml:math>...