A mixed hybrid FE formulation for solution of elasto-viscoplastic problems

Knippers, Jan; Harbord, R.

doi:10.1007/bf00350226

Cited by 8 publications

(2 citation statements)

References 9 publications

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“…In the velocity-based, mixed formulation, similar to Knippers and Harbord [29], the GreenLagrangian strain tensor defines non-linear kinematics. The neo-Hookean model accounts for the purely elastic material response at thermodynamic equilibrium.…”

Section: Model Equationsmentioning

confidence: 99%

A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains

Hübner

Dinkler

2005

Numerical Meth Engineering

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SUMMARYThe paper presents a methodology for numerical analyses of coupled systems exhibiting strong interactions of viscoelastic solids and generalized Newtonian fluids. In the monolithic approach, velocity variables are used for both solid and fluid, and the entire set of model equations is discretized with stabilized space-time finite elements. A viscoelastic material model for finite deformations, which is based on the concept of internal variables, describes the stress-deformation behaviour of the solid. In the generalized Newtonian approach for the fluid, the viscosity depends on the shear strain rate, leading to common non-Newtonian fluid models like the power-law. The consideration of non-linear constitutive equations for solid and fluid documents the capability of the monolithic space-time finite element formulation to deal with complex material models. The methodology is applied to fluidconveying cantilevered pipes in order to determine the influence of material non-linearities on stability characteristics of coupled systems.

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Section: Model Equationsmentioning

confidence: 99%

A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains

Hübner

Dinkler

2005

Numerical Meth Engineering

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“…In equation (60), line (a) represents the weak form of the momentum conservation and line (b) fulfils the constitutive law on element level, leading to a mixed-hybrid formulation as presented in (Knippers and Harbord, 1994), where only the velocities are global degrees of freedom. The jump terms for velocities (c) and stresses (d) satisfy the initial conditions of the time slab in integral form.…”

Section: Strong Form Of Governing Equations For Fluid and Structurementioning

confidence: 99%

Modelling of Fluid-Structure Interaction – Effects of Added Mass, Damping and Stiffness

Zilian

2014

Dynamics of Mechanical Systems With Variable Mass

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Fluid-flow around mechanical structures can sometimes lead to catastrophic failures. Improved modelling of fluid/structure interaction is required for safety and mechanical considerations. In this contribution, concepts for modelling the interaction of structures and fluids are presented. Starting from excitation mechanisms and associated classifications, various model depth approaches are compared. Among them, the use of added coefficients for quasisteady problems is discussed. On the basis of potential flow theory, different approaches for determining fluid-induced additional mass are established and illustrated using an analytical example. Given the limitations of simplifying the engineering models, the second part of the paper provides a brief overview on computational methods for fluid-structure interaction and presents a monolithic modelling approach using space-time finite elements for discretisation of both fluid and structure. Applications from aero-and hydroelasticity show the applicability of computational methods for problems involving flow-induced added mass, damping, and stiffness.

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Simultaneous Solution to Viscous Fluid Flow Interacting with Large Amplitude Structural Vibrations

Dinkler

Hübner

Walhorn

2003

Analysis and Simulation of Multifield Problems

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A mixed hybrid FE formulation for solution of elasto-viscoplastic problems

Cited by 8 publications

References 9 publications

A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains

A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains

Modelling of Fluid-Structure Interaction – Effects of Added Mass, Damping and Stiffness

Simultaneous Solution to Viscous Fluid Flow Interacting with Large Amplitude Structural Vibrations

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