Search results for "Post-buckling"

showing 7 items of 7 documents

Buckling and post-buckling analysis of cracked stiffened panels via an X-Ritz method

2019

Abstract A multi-domain eXtended Ritz formulation, called X-Ritz, for the analysis of buckling and post-buckling of stiffened panels with cracks is presented. The theoretical framework is based on the First-order Shear Deformation Theory and accounts for von Karman's geometric nonlinearities. The structure is modeled as assembly of plate elements. Penalty techniques are used to fulfill the continuity condition along the edges of contiguous elements and to satisfy essential boundary conditions requirements. The use of an extended set of approximating functions allows to model through-the-thickness cracks and to capture the crack opening and tip singular fields as well as the structural behav…

0209 industrial biotechnologyPost-bucklingShear deformation theoryStructure (category theory)Aerospace Engineering02 engineering and technology01 natural sciences010305 fluids & plasmasRitz methodSet (abstract data type)020901 industrial engineering & automation0103 physical sciencesStiffened panelBoundary value problemSingle domainSettore ING-IND/04 - Costruzioni E Strutture AerospazialiMathematicsCrackbusiness.industryBucklingThin-walled structureX-Ritz methodStructural engineeringFinite element methodBucklingbusiness
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Numerical and Experimental Study of Defects Evolution in a Composites Wing Box Under Compressive Loads

2013

Due to their high specific strength and stiffness, Carbon Fibres Reinforced Plastics (CFRP) are commonly considered suitable for aerospace structural applications. However, their failure mechanisms are not completely predictable and this is the main reason why the CFRP integration in the aerospace industry has been generally slow in the last twenty years. Indeed, the lack of robust numerical tools, able to take into account the damage tolerance of composite structures, has led to over-conservative designs, not fully realising the promised economic benefits of composites materials. The Project MACMES (Damage Management of Aircraft Composite Structures Monitored by Embedded Sensors), funded b…

Embedded Sensors CFRP post-buckling
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An extended Ritz formulation for buckling and post-buckling analysis of cracked multilayered plates

2018

Abstract An extended Ritz formulation for the analysis of buckling and post-buckling behaviour of cracked composite multilayered plates is presented. The formulation is based on: (i) the First-order Shear Deformation Theory to model the mechanics of the multilayered plate; (ii) the von Karman’s theory to account for geometric non-linearities ; (iii) the use of an extended set of approximating functions able to model the presence of an embedded or edge crack and to capture the crack opening fields as well as the global behaviour within a single cracked domain. The numerical results of the buckling analyses and the equilibrium paths in the post-buckling regime are compared with the results fr…

PhysicsShear deformation theoryComposite numberMathematical analysisCeramics and Composite02 engineering and technologyPlate post-bucklingEdge (geometry)01 natural sciencesDomain (mathematical analysis)Finite element method010101 applied mathematics020303 mechanical engineering & transports0203 mechanical engineeringBucklingExtended Rayleigh-Ritz methodPlate bucklingCeramics and CompositesFirst-order shear deformation theory0101 mathematicsSettore ING-IND/04 - Costruzioni E Strutture AerospazialiCivil and Structural EngineeringComposite Structures
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Post-buckling analysis of cracked multilayered composite plates by pb-2 Rayleigh–Ritz method

2015

Abstract A pb-2 Rayleigh–Ritz variational approach for the analysis of post-buckling behavior of cracked composite plates is presented. The plate is modeled by the first order shear deformation theory taking geometric nonlinearities into account through the von Karman’s theory. General stacking sequences are considered. Cracks are modeled by using subdomain decomposition of the plate coupled with penalty techniques, used to augment the variational statement with the needed continuity conditions along the connected subdomains edges. Numerical procedures have been developed and used to validate the present solution by comparison with available literature results. Original results are then pre…

Rayleigh–Ritz methodEngineeringbusiness.industryShear deformation theoryComposite numberStackingStructural engineeringComposite plateFirst order shear deformation theory (FSDT)First orderCracked platePb2 Ritz methodPhysics::Fluid DynamicsPost-buckling analysiBucklingCeramics and CompositesSettore ING-IND/04 - Costruzioni E Strutture AerospazialibusinessCivil and Structural EngineeringComposite Structures
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Post-Buckling Analysis of Damaged Multilayered Composite Stiffened Plates by Rayleigh-Ritz Method

2016

A Rayleigh-Ritz approach for the analysis of buckling and post-buckling behavior of cracked composite stiffened plates is presented. The structure is modeled as the assembly of plate elements modeled by the first order shear deformation theory and taking geometric nonlinearities into account through the von Karman’s theory assumptions. Continuity along the plate elements connected edges and the enforcement of rigid and elastic restraints of the plate boundaries are obtained by using penalty techniques, which also allow to straightforwardly implement efficient crack modeling strategies. General symmetric and unsymmetric stacking sequences are considered and numerical procedures have been dev…

Rayleigh–Ritz methodcomposite plates cracked plates post-buckling analysis Ritz method first order shear deformation theory (FSDT)Materials sciencebusiness.industryShear deformation theoryComposite numberStacking02 engineering and technologyGeneral MedicineStructural engineeringFirst order01 natural sciencesFinite element methodRitz methodPhysics::Fluid Dynamics010101 applied mathematics020303 mechanical engineering & transports0203 mechanical engineeringBuckling0101 mathematicsbusinessSettore ING-IND/04 - Costruzioni E Strutture Aerospaziali
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A single-domain Ritz approach for buckling and post-buckling analysis of cracked plates

2019

Abstract A Ritz approach for the analysis of buckling and post-buckling of plates with through-the-thickness cracks is presented. The plate behavior is described by the first order shear deformation theory and von Karman’s geometric nonlinearity. The admissible functions used in the displacements approximation are series of regular orthogonal polynomial supplemented with special functions able to decribe the dicontinuity across the crack and the singularity at the crack tips; boundary functions are used to fullfill the homogeneous essential boundary conditions. Convergence studies and analysis results are presented for buckling and post-buckling of plates with a central through-the-thicknes…

Series (mathematics)Applied MathematicsMechanical EngineeringMathematical analysisDegrees of freedom (statistics)Boundary (topology)02 engineering and technology021001 nanoscience & nanotechnologyCondensed Matter PhysicsPlate buckling Plate post-buckling Ritz method First order shear deformation theoryNonlinear system020303 mechanical engineering & transportsSingularity0203 mechanical engineeringBucklingMechanics of MaterialsSpecial functionsModeling and SimulationGeneral Materials ScienceBoundary value problemSettore ING-IND/04 - Costruzioni E Strutture Aerospaziali0210 nano-technologyMathematicsInternational Journal of Solids and Structures
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Postbuckling analysis of cracked stiffned plates by pb–2 Rayleigh-Ritz method

2015

A Rayleigh-Ritz approach for the analysis of buckling and post-buckling behavior of cracked composite stiffened plates is presented. The structure is thought as the assembly of plate elements modeled by the first order shear deformation theory. Continuity along the edges common to contiguous elements are enforced by using penalty techniques, which also allow to straightforwardly implement efficient crack modeling strategies. General symmetric and unsymmetric stacking sequences are considered and numerical procedures have been developed and used to validate the present solution by comparison with FEA results. Original results are also presented for post-buckling solution of multilayered stif…

composite plates cracked plates post-buckling analysis pb2 Ritz method first order shear deformation theory (FSDT).Settore ING-IND/04 - Costruzioni E Strutture Aerospaziali
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