Search results for " Symmetric Galerkin BEM"

showing 3 items of 3 documents

Strain gradient elasticity within the symmetric BEM formulation

2014

The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient. With respect to the classical elasticity, additional response variables intervene, such as the normal derivative of the displacements on the boundary, and the work-coniugate double tractions. The fundamental solutions - featuring a fourth order partial differential equations (PDEs) system - exhibit singularities which in 2D may be of the order 1/ r 4 . New techniques are developed, which allow the elimination of most of the latter singularities. The present paper has to be intended as a resear…

Partial differential equationStrain gradient elasticity Symmetric Galerkin BEM.Mechanical Engineeringlcsh:Mechanical engineering and machineryStrain gradient elasticityMathematical analysislcsh:TA630-695Symmetric Galerkin BEMlcsh:Structural engineering (General)Directional derivativeStrain gradientFourth orderMechanics of MaterialsGravitational singularitylcsh:TJ1-1570Elasticity (economics)Galerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodStrain gradient elasticity; Symmetric Galerkin BEM.MathematicsFrattura ed Integrità Strutturale
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A symmetric BEM approach to strain gradient elasticity for 2D static boundary-value problems

2014

The symmetric Galerkin Boundary Element Method is used to address a class of strain gradient elastic materials featured by a free energy function of the (classical) strain and of its (first) gradient. With respect to the classical elasticity, additional response variables intervene, such as the normal derivative of the displacements on the boundary, and the work-coniugate double tractions. The fundamental solutions - featuring a fourth order partial differential equations (PDEs) system - exhibit singularities which in 2D may be of the order 4 1/ r . New techniques are developed, which allow the elimination of most of the latter singularities. The present paper has to be intended as a resear…

Strain gradient elasticity Symmetric Galerkin BEMSettore ICAR/08 - Scienza Delle Costruzioni
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Strain gradient elasticity within the SGBEM

2014

Strain gradient elasticity; Symmetric Galerkin BEMStrain gradient elasticitySymmetric Galerkin BEMSettore ICAR/08 - Scienza Delle Costruzioni
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