Variational Statements and Computational Models for MultiField Problems and Multilayered Structures

Carrera, Erasmo; Brischetto, Salvatore; Nali, Pietro

doi:10.1080/15376490801907657

Cited by 62 publications

(30 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By considering the higher spatial gradient of the temperature field and the different thermal properties of the embedded layers, the variable θ k is always modeled as LW [Brischetto and Carrera, 2010a;Carrera et al, 2008]:…”

Section: Layerwise Approachmentioning

confidence: 99%

Thermomechanical Effect in Vibration Analysis of One-Layered and Two-Layered Plates

Brischetto

Carrera

2011

Int. J. Appl. Mechanics

Self Cite

View full text Add to dashboard Cite

The free vibration problem of one-layered and two-layered metallic plates is investigated in this work. The thermomechanical effect is evaluated using a fully coupled thermomechanical model. The free frequency values of fully coupled problems are compared to the values of the pure mechanical problems. In pure mechanical models, the displacement is the only primary variable of the problem, while in fully coupled thermomechanical models, the temperature is also considered as a primary variable and the effect of the thermomechanical stiffness is evaluated. The thermoelastic coupling usually provides higher frequencies with respect to the pure mechanical case because it acts like a thermal source, which is proportional to the strain rate, which leads to a bigger global stiffness of the structure. Both thermomechanical and mechanical models are developed in the framework of Carrera's Unified Formulation (CUF). CUF permits several refined twodimensional theories to be obtained with orders of expansion in the thickness direction, from linear to fourth-order, for both displacements and temperature. Both equivalent single layer and layer-wise approaches are considered for the multilayered plates. The thermomechanical effect is investigated, in terms of frequencies, for thick and thin onelayered and two-layered plates, and for lower and higher modes. It has mainly been concluded that the thermomechanical coupling: (a) Is correctly determined if both the thermal and mechanical parts are correctly approximated; (b) Is small for each investigated case; (c) Influences the various vibration modes in different ways; and (d) Has a limited dependence on the considered case, but this dependence vanishes if a global coupling is considered. Only fully coupled thermomechanical models allow to analyze this type of problem. The effect of the thermomechanical coupling on higher-order modes can only be investigated using refined two-dimensional theories.

show abstract

Section: Layerwise Approachmentioning

confidence: 99%

Thermomechanical Effect in Vibration Analysis of One-Layered and Two-Layered Plates

Brischetto

Carrera

2011

Int. J. Appl. Mechanics

Self Cite

View full text Add to dashboard Cite

show abstract

“…The condensed vectorial notation already discussed in [20] is employed in the present work. The two multifield variables are introduced as…”

Section: The Pvd For the Electro-mechanical Casementioning

confidence: 99%

“…As a consequence, RMVT-D z leads to a lower computational effort than F-RMVT and it assures, at the same time, accurate results for the transverse electric displacement. An almost complete overview of the possible subcases of RMVT was given in [20]. The RMVT-D z in the latter work was mentioned as a possible extension of RMVT to piezoelectric structures.…”

mentioning

confidence: 99%

Mixed piezoelectric plate elements with direct evaluation of transverse electric displacement

Carrera

Nali

2009

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

SUMMARYA mixed variational statement for the analysis of layered structures under the effect of mechanical and electrical fields is proposed in this paper to develop finite plate elements that permit the direct evaluation of transverse electrical displacement D z . The original Reissner mixed variational theorem, RMVT, has been modified to account for 'only' interlaminar continuous D z . Continuity of mechanical variables, such as transverse shear and normal stress components, has been discarded to provide a simple 'electrical' modified RMVT, here called RMVT-D z . Finite element implementations are made via the Carrera unified formulation. The advantages of the proposed approach have been demonstrated through numerical comparisons with classical formulations based on the principle of virtual displacements as well as with available 3D solutions.

show abstract

“…15,16 Various forms of constitutive equations and variational principles for magneto-electro-elastic solids were derived in Refs. [17][18][19][20][21]. The open literature relevant to the analysis of electromagnetoelastic beam structure is rather scanty.…”

Section: Introductionmentioning

confidence: 98%

Multiphysics Modeling of Composite Beams under Large Temperature Changes

Wang¹,

Yu²

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

1
0
1
0

View full text Add to dashboard Cite

Previously developed VABS multiphysics beam model as presented on last SDM is extended to incorporate temperature-dependent materials experiencing large temperature changes. In this study, a new thermomechanical model has been developed for heterogeneous composite materials which removed the restriction on temperature variations and added the dependence of material properties with respect to temperature based on the Kovalenoko's small-strain thermoelasticity theory. In order to avoid ill-conditioned matrix in multiphysics modeling, a scaling method is presented. Numerical example is provided to show the effect of material temperature-dependency. The pyroelectric and pyromagnetic effects are also discussed.

show abstract

Variational Statements and Computational Models for MultiField Problems and Multilayered Structures

Cited by 62 publications

References 13 publications

Thermomechanical Effect in Vibration Analysis of One-Layered and Two-Layered Plates

Thermomechanical Effect in Vibration Analysis of One-Layered and Two-Layered Plates

Mixed piezoelectric plate elements with direct evaluation of transverse electric displacement

Multiphysics Modeling of Composite Beams under Large Temperature Changes

Contact Info

Product

Resources

About