Geometrically nonlinear thermomechanical analysis of shell-like structures

Masoodi, Amir R.; Arabi, E.

doi:10.1080/01495739.2017.1360166

Cited by 25 publications

(4 citation statements)

References 29 publications

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“…In fact, based on variably refined mechanical theories, thermally induced buckling of plates and shells with different geometric and (possibly temperature-dependent) material properties has been the subject of many investigations, mostly in static conditions and with a finite-element approach (e.g. [22][23][24][25][26]). Recently, focusing in particular on functionally graded materials, which are constructed to sustain high temperature environments, dynamic thermal buckling has also been addressed via either multidegree-of-freedom or ROMs, aiming to highlight conditions for its occurrence under different temperature distributions along the thickness as well as features of the postbuckling nonlinear response (e.g.…”

Section: Introductionmentioning

confidence: 99%

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

2018

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The nonlinear response of a reduced model of an orthotropic single-layered plate with thermomechanical coupling is investigated in the presence of thermal excitations, in addition to mechanical ones. Different issues are addressed via accurate and extended local and global analyses. (i) Assessing the possible occurrence, disappearance or modification of mechanical buckling as a result of thermal aspects; (ii) exploiting global dynamics to unveil the effects of coupling; (iii) highlighting the crucial role played by the slow thermal transient evolution in modifying the fast steady mechanical response; (iv) framing the influence of coupling and underlining the need to use a thermomechanical model to grasp the actual plate dynamics; and (v) getting hints of technical interest as to the outcome robustness with respect to variations in the external/internal thermal parameters.

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Section: Introductionmentioning

confidence: 99%

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

2018

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“…Also, they verified the accuracy of proposed element with several nonlinear benchmark problems. Furthermore, using six-node triangular shell elements, in which the MITC scheme was used, to investigate nonlinear behavior shell structures in thermal environment was implemented numerically by Masoodi and Arabi (2018).…”

Section: Introductionmentioning

confidence: 99%

Analyzing FG shells with large deformations and finite rotations

Rezaiee‐Pajand

Masoodi

2019

WJE

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Purpose The purpose of this study is dedicated to use an efficient mixed strain finite element approach to develop a three-node triangular shell element. Moreover, large deformation analysis of the functionally graded material shells is the main contribution of this research. These target structures include thin or moderately thick panels. Design/methodology/approach Due to reach these goals, Green–Lagrange strain formulation with respect to small strains and large deformations with finite rotations is used. First, an efficient three-node triangular degenerated shell element is formulated using tensorial components of two-dimensional shell theory. Then, the variation of Young’s modulus through the thickness of shell is formulated by using power function. Note that the change of Poisson’s ratio is ignored. Finally, the governing linearized incremental relation was iteratively solved using a high potential nonlinear solution method entitled generalized displacement control. Findings Some well-known problems are solved to validate the proposed formulations. The suggested triangular shell element can obtain the exact responses of functionally graded (FG) shell structures, without any shear locking, instabilities and ill-conditioning, even by using fewer numbers of the elements. The obtained outcomes are compared with the other reference solutions. All findings demonstrate the accuracy and capability of authors’ element for analyzing FG shell structures. Research limitations/implications A mixed strain finite element approach is used for nonlinear analysis of FG shells. These structures are curved thin and moderately thick shells. Small strains and large deformations with finite rotations are assumed. Practical implications FG shells are mostly made curved thin or moderately thick, and these structures have a lot of applications in the civil and mechanical engineering. Social implications The social implication of this study is concerned with how technology impacts the world. In short, the presented scheme can improve structural analysis ways. Originality/value Developing an efficient three-node triangular element, for geometrically nonlinear analysis of FG doubly-curved thin and moderately thick shells, is the main contribution of the current research. Finite rotations are considered by using the Taylor’s expansion of the rotation matrix. Mixed interpolation of strain fields is used to alleviate the locking phenomena. Using fewer numbers of shell elements with fewer numbers of degrees of freedom can reduce the computational costs and errors significantly.

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“…One of the most applicable finite element formulations which were widely developed in the last decade is mixed interpolation tensorial components (hereafter MITC). Many researches used this way to develop efficient MITC element [58][59][60][61][62]. It is well known that the triangular elements are more applicable than the rectangular ones because they can be used for different mesh discretization.…”

Section: Introductionmentioning

confidence: 99%

Shell instability analysis by using mixed interpolation

Rezaiee‐Pajand

Masoodi

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, buckling and post-buckling behavior of plates and shells are investigated. An efficient triangular shell element having six nodes is employed in this study. To consider large deflection and rotation, total Lagrangian formulation is utilized. The authors employ mixed interpolation for strain fields to deviate shear and membrane locking phenomena. The effects of different types of boundary conditions and geometry properties of plates and shells are studied. An almost complete literature review is also provided to show the progress of researches about the current topics. Various states of buckling including bifurcation and snap-through are assessed in different problems. In this study, the popular benchmarks of shell structures are analyzed to show the accuracy and capability of element. In addition, some new benchmarks which can be used by other researchers are also introduced and solved. Further, a comparison study between the proposed element and NLDKGQ element in OpenSees software is implemented for some complex curved shell structures.

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Geometrically nonlinear thermomechanical analysis of shell-like structures

Cited by 25 publications

References 29 publications

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

Avoiding/inducing dynamic buckling in a thermomechanically coupled plate: a local and global analysis of slow/fast response

Analyzing FG shells with large deformations and finite rotations

Shell instability analysis by using mixed interpolation

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