All Outputs (34)

Accurate iteration-free mixed-stabilised formulation for laminar incompressible Navier–Stokes: Applications to fluid–structure interaction (2020)
Journal Article
Kadapa, C., Dettmer, W. G., & Perić, D. (2020). Accurate iteration-free mixed-stabilised formulation for laminar incompressible Navier–Stokes: Applications to fluid–structure interaction. Journal of Fluids and Structures, 97, Article 103077. https://doi.org/10.1016/j.jfluidstructs.2020.103077

Stabilised mixed velocity–pressure formulations are one of the widely-used finite element schemes for computing the numerical solutions of laminar incompressible Navier–Stokes. In these formulations, the Newton–Raphson scheme is employed to solve the... Read More about Accurate iteration-free mixed-stabilised formulation for laminar incompressible Navier–Stokes: Applications to fluid–structure interaction.

A linearized consistent mixed displacement-pressure formulation for hyperelasticity (2020)
Journal Article
Kadapa, C., & Hossain, M. (2022). A linearized consistent mixed displacement-pressure formulation for hyperelasticity. Mechanics of Advanced Materials and Structures, 29(2), 267-284. https://doi.org/10.1080/15376494.2020.1762952

We propose a novel mixed displacement-pressure formulation based on an energy functional that takes into account the relation between the pressure and the volumetric energy function. We demonstrate that the proposed two-field mixed displacement-press... Read More about A linearized consistent mixed displacement-pressure formulation for hyperelasticity.

Novel unified finite element schemes for computational solid mechanics based on Bézier elements (2019)
Presentation / Conference Contribution
Kadapa, C. (2019, April). Novel unified finite element schemes for computational solid mechanics based on Bézier elements. Paper presented at UKACM 2019, London

This work introduces a novel unified finite element framework for computational solid mechanics based on quadratic Bézier triangular and tetrahedral elements that can be readily generated by exploiting the existing mesh generators for quadratic Lagra... Read More about Novel unified finite element schemes for computational solid mechanics based on Bézier elements.

Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains (2019)
Journal Article
Kadapa, C. (2019). Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains. International Journal for Numerical Methods in Engineering, 119(2), 75-104. https://doi.org/10.1002/nme.6042

We present a novel unified finite element framework for performing computationally efficient large strain implicit and explicit elastodynamic simulations using triangular and tetrahedral meshes that can be generated using the existing mesh generators... Read More about Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Extension to nearly incompressible implicit and explicit elastodynamics in finite strains.

Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Applications to linear nearly incompressible elastostatics and implicit and explicit elastodynamics (2018)
Journal Article
Kadapa, C. (2019). Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Applications to linear nearly incompressible elastostatics and implicit and explicit elastodynamics. International Journal for Numerical Methods in Engineering, 117(5), 543-573. https://doi.org/10.1002/nme.5967

In this paper, we present novel techniques of using quadratic Bézier triangular and tetrahedral elements for elastostatic and implicit/explicit elastodynamic simulations involving nearly incompressible linear elastic materials. A simple linear mappin... Read More about Novel quadratic Bézier triangular and tetrahedral elements using existing mesh generators: Applications to linear nearly incompressible elastostatics and implicit and explicit elastodynamics.

A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping (2018)
Journal Article
Lovrić, A., Dettmer, W. G., Kadapa, C., & Perić, D. (2018). A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping. Computer Methods in Applied Mechanics and Engineering, 339, 160-183. https://doi.org/10.1016/j.cma.2018.05.006

A simple spatially discrete model problem consisting of mass points and dash-pots is presented which allows for the assessment of the properties of different projection schemes for the solution of the incompressible Navier–Stokes equations. In partic... Read More about A new family of projection schemes for the incompressible Navier–Stokes equations with control of high-frequency damping.

A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact (2018)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2018). A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact. Computer Methods in Applied Mechanics and Engineering, 335, 472-489. https://doi.org/10.1016/j.cma.2018.02.021

We present a robust and efficient stabilised immersed framework for fluid–structure interaction involving incompressible fluid flow and flexible structures undergoing large deformations and also involving solid–solid contact. The efficiency of the fo... Read More about A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact.

On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems (2017)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2017). On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems. Computers and Structures, 193, 226-238. https://doi.org/10.1016/j.compstruc.2017.08.013

The advantages of using the generalised-alpha scheme for first-order systems for computing the numerical solutions of second-order equations encountered in structural dynamics are presented. The governing equations are rewritten so that the second-or... Read More about On the advantages of using the first-order generalised-alpha scheme for structural dynamic problems.

A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact (2017)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2017). A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact. Computer Methods in Applied Mechanics and Engineering, 318, 242-269. https://doi.org/10.1016/j.cma.2017.01.024

An accurate, efficient and robust numerical scheme is presented for the simulation of the interaction between flexibly-supported rigid bodies and incompressible fluid flow with topology changes and solid–solid contact. The solution of the incompressi... Read More about A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact.

A stabilised immersed boundary method on hierarchical b-spline grids (2016)
Journal Article
Dettmer, W., Kadapa, C., & Perić, D. (2016). A stabilised immersed boundary method on hierarchical b-spline grids. Computer Methods in Applied Mechanics and Engineering, 311, 415-437. https://doi.org/10.1016/j.cma.2016.08.027

In this work, an immersed boundary finite element method is proposed which is based on a hierarchically refined cartesian b-spline grid and employs the non-symmetric and penalty-free version of Nitsche’s method to enforce the boundary conditions. The... Read More about A stabilised immersed boundary method on hierarchical b-spline grids.

Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials (2016)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2016). Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials. Computer Methods in Applied Mechanics and Engineering, 305, 241-270. https://doi.org/10.1016/j.cma.2016.03.013

This paper addresses the use of isogeometric analysis to solve solid mechanics problems involving nearly incompressible materials. The present work is focused on extension of two-field mixed variational formulations in both small and large strains to... Read More about Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials.

A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids (2015)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2016). A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids. Computer Methods in Applied Mechanics and Engineering, 301, 1-27. https://doi.org/10.1016/j.cma.2015.12.023

We present a numerical scheme for fluid–structure interaction based on hierarchical B-Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible Navier–Stokes equations are solved over a Cartesian grid discretised with B-... Read More about A fictitious domain/distributed Lagrange multiplier based fluid–structure interaction scheme with hierarchical B-Spline grids.

NURBS based least-squares finite element methods for fluid and solid mechanics (2015)
Journal Article
Kadapa, C., Dettmer, W., & Perić, D. (2015). NURBS based least-squares finite element methods for fluid and solid mechanics. International Journal for Numerical Methods in Engineering, 101(7), 521-539. https://doi.org/10.1002/nme.4765

This contribution investigates the performance of a least-squares finite element method based on non-uniform rational B-splines (NURBS) basis functions. The least-squares functional is formulated directly in terms of the strong form of the governing... Read More about NURBS based least-squares finite element methods for fluid and solid mechanics.

A higher-order finite element framework for hyper-visco-elastodynamics of soft multifuctional composites
Presentation / Conference Contribution
Kadapa, C., & Hossain, M. (2024, April). A higher-order finite element framework for hyper-visco-elastodynamics of soft multifuctional composites. Paper presented at UK Association for Computational Mechanics Conference 2024, Durham, UK

Smart multifunctional polymeric composites such as electroactive polymers, magnetoactive polymers and active hydrogels find numerous applications in soft robotics, energy harvesting, flexible electronic devices, tactile sensors, precision drug delive... Read More about A higher-order finite element framework for hyper-visco-elastodynamics of soft multifuctional composites.