Direct differentiation method for response sensitivity analysis of structures in fire

Guo, Qianru; Jeffers, Ann E.

doi:10.1016/j.engstruct.2014.06.025

Cited by 12 publications

(4 citation statements)

References 18 publications

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“…More precisely, we focus on planar elements so that the firestructure interaction can be well approximated by considering the heat source to be within the structural plane. The fire-structure interaction is usually assessed on three levels in a computational procedure: (i) the fire simulation is achieved using the well-established techniques from computational fluid dynamics, (ii) in the next level the fire is introduced as a heat source applied inside the domain and/or on its boundaries, and (iii) finally, the thermo-mechanical behavior of the elements is evaluated using a numerical approach such as the FEM, see for example Guo and Jeffers 1 and McGrattan et al 2 and further references are therein. In the current work, we look into the last level where the fire is introduced as a single or multiple heat sources.…”

Section: Introductionmentioning

confidence: 99%

High-order methods for thermal behavior of plate structures with internal heat sources

Bouna

Izem

Seaı̈d

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The paper proposes solving transient heat transfer in plates using high-order isogeometric analysis and high-order time integration schemes. The problem is often faced in fire-structure interaction where the heat transfer is coupled with the stress analysis. A major advantage for the proposed approach comes from high order continuity between elements. Thus, the need for rotational degrees of freedom is eliminated when analyzing the stresses in plates and the same mesh can also be used to recover the heat transfer patterns. To achieve the full potential of such high-order finite elements in space, we also use high-order time integration schemes so that the numerical solution can be significantly more accurate than the standard approaches. Furthermore, the isogeometric analysis is also used to represent the exact geometry thanks to the basis functions generated from Non-Uniform Rational B-Splines. Several test examples for the transient diffusion problem are presented. Compared to standard methods and for a prescribed accuracy the proposed approach requires significantly fewer degrees of freedom and a corresponding improvement in the computational efficiency.

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Section: Introductionmentioning

confidence: 99%

High-order methods for thermal behavior of plate structures with internal heat sources

Bouna

Izem

Seaı̈d

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The DDM has been applied successfully to frame finite elements including the displacement‐based, force‐based, and mixed variational formulations for material nonlinearity, the corotational formulation for large displacement analysis of frames , and the geometrically nonlinear force‐based formulation . Multiphysics applications involving structural finite element analysis to which the DDM has been applied include fire attack and fluid–structure interaction . Higher level modules of finite element analyses also require the DDM, for example, multi‐point constraint handling by the penalty, transformation, and Lagrange multiplier methods .…”

Section: Introductionmentioning

confidence: 99%

Response sensitivity of material and geometric nonlinear force‐based Timoshenko frame elements

Scott

Azad

2017

Numerical Meth Engineering

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Summary Response sensitivity is an essential component to understanding the complexity of material and geometric nonlinear finite element formulations of structural response. The direct differentiation method (DDM), a versatile approach to computing response sensitivity, requires differentiation of the equations that govern the state determination of an element and it produces accurate and efficient results. The DDM is applied to a force‐based element formulation that utilizes curvature‐shear‐based displacement interpolation (CSBDI) in its state determination for material and geometric nonlinearity in the basic system of the element. The response sensitivity equations are verified against finite difference computations, and a detailed example shows the effect of parameters that control flexure–shear interaction for a stress resultant plasticity model. The developed equations make the CSBDI force‐based element available for gradient‐based applications such as reliability and optimization where efficient computation of response sensitivities is necessary for convergence of gradient‐based search algorithms. Copyright © 2016 John Wiley & Sons, Ltd.

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“…Analytical approaches to DDM sensitivity analysis for structural response under mechanical loads have been well developed (Kleiber et al 1997) and extended to material and geometric nonlinear formulations of frame-element response (Scott et al 2004;Conte et al 2004) as well as frame-element geometry and cross-section dimensions (Haukaas and Scott 2006;Scott and Filippou 2007). The DDM has also been applied to composites processing (Bebamzadeh et al 2010) and fire attack on structures (Guo and Jeffers 2014); however, its application to FSI has not been addressed. This is partly due to the complexity of the computation for the FSI response and the cumbersome nature of staggered computational approaches.…”

Section: Introductionmentioning

confidence: 99%

Direct Differentiation of the Particle Finite-Element Method for Fluid–Structure Interaction

Zhu

Scott

2016

J. Struct. Eng.

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Sensitivity analysis of fluid-structure interaction (FSI) provides an important tool for assessing the reliability and performance of coastal infrastructure subjected to storm and tsunami hazards. As a preliminary step for gradient-based applications in reliability, optimization, system identification, and performance-based engineering of coastal infrastructure, the direct differentiation method (DDM) is applied to FSI simulations using the particle finite-element method (PFEM). The DDM computes derivatives of FSI response with respect to uncertain design and modeling parameters of the structural and fluid domains that are solved in a monolithic system via the PFEM. Geometric nonlinearity of the free surface fluid flow is considered in the governing equations of the DDM along with sensitivity of material and geometric nonlinear response in the structural domain. The analytical derivatives of elemental matrices and vectors with respect to element properties are evaluated and implemented in an open source finite element software framework. Examples involving both hydrostatic and hydrodynamic loading show that the sensitivity of nodal displacements, pressures, and forces computed by the finite-difference method (FDM) converge to the DDM for simple beam models as well as for a reinforced-concrete frame structure.

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Direct differentiation method for response sensitivity analysis of structures in fire

Cited by 12 publications

References 18 publications

High-order methods for thermal behavior of plate structures with internal heat sources

High-order methods for thermal behavior of plate structures with internal heat sources

Response sensitivity of material and geometric nonlinear force‐based Timoshenko frame elements

Direct Differentiation of the Particle Finite-Element Method for Fluid–Structure Interaction

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