Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity

Codegone, Marco; Sanchez‐Palencia, E.

doi:10.1051/m2an/1989230100871

Cited by 3 publications

(7 citation statements)

References 4 publications

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“…Together, they must verify the condition of completeness of the boundary conditions defined in Codegone and Sanchez-Palencia. 31 In equation (1), ni is the unit vector normal to the frontier ΓN ( ni∈double-struckR3), falseτi¯ is the imposed stress on frontier ΓN ( trueτi¯∈double-struckR3) and falseu¯i is the imposed displacement on frontier ΓD ( trueu¯i∈double-struckR3) …”

Section: Methodsmentioning

confidence: 99%

“…The term σij can be expressed in term of strains bold-italice=eij by means of the constitutive matrix bold-italicA=aij. Since the coefficients of this matrix must satisfy the symmetry and positivity conditions, 31 it is possible to obtain the expression of the potential energy of the system, Π|bold-italicu, according to Chiandussi 30 …”

Section: Methodsmentioning

confidence: 99%

“…Together, they must verify the condition of completeness of the boundary conditions defined in Codegone and Sanchez-Palencia. 31 In equation 1, n i is the unit vector normal to the frontier…”

Section: Topology Optimisation: Analytical Formulationmentioning

confidence: 99%

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Topology and fibre orientation simultaneous optimisation: A design methodology for fibre-reinforced composite components

Caivano

Tridello

Paolino

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Additive manufacturing for fibre-reinforced composite structures is rapidly diffusing, since it enables the production of lightweight structural parts characterized by complex geometries and tailored fibre orientations. Therefore, the development of design methodologies capable to simultaneously optimize the shape of the fibre-reinforced composite part and the fibre orientation in the additive manufacturing process is, at present, of utmost interest among industries and research centres. In this paper, a novel simultaneous optimisation method capable to optimise the topology and the local fibre orientation is proposed. The method is computationally cheap, fast convergent and permits to avoid stress peaks, working efficiently on 2D and on 3D models. The analytical formulation of the problem and the optimisation algorithm are at first described. The optimisation criteria are based on the uniform strain energy density distribution and the fibre alignement along the principal stress direction. The proposed method is then verified with several benchmarks from the literature and with a 3D illustrative example, confirming that it can be effectively and efficiently employed for the optimisation of composite components to be produced through additive manufacturing.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Topology and fibre orientation simultaneous optimisation: A design methodology for fibre-reinforced composite components

Caivano

Tridello

Paolino

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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show abstract

“…it follows the Hooke's law 20 ) and it is characterized by Young's modulus E, Poisson's ratio , thermal expansion coefficient a, thermal conductivity k, and density q. In addition, all the applied boundary conditions satisfy the border completeness, 21 according to equation (1). In other words, each portion of the frontier C is defined by a boundary condition, both thermal and structural…”

Section: Thermostructural Topology Optimization: the Optimality Criteriamentioning

confidence: 99%

“…where The overall equilibrium of an infinitesimal portion dX of the system X is described by equation (2), as reported in Codegone and Sanchez-Palencia 21 rr br…”

Section: Thermostructural Topology Optimization: the Optimality Criteriamentioning

confidence: 99%

A new methodology for thermostructural topology optimization: Analytical definition and validation

Caivano

Tridello

Codegone

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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In the last few years, the rapid diffusion of components produced through additive manufacturing processes has boosted the research on design methodologies based on topology optimization algorithms. Structural topology optimization is largely employed since it permits to minimize the component weight and maximize its stiffness and, accordingly, optimize its resistance under structural loads. On the other hand, thermal topology optimization has been less investigated, even if in many applications, such as turbine blades, engines, heat exchangers, thermal loads have a crucial impact. Currently, structural and thermal optimizations are mainly considered separately, despite the fact that they are both present and coupled in components in service condition. In the present paper, a novel methodology capable of defining the optimized structure under simultaneous thermomechanical constraints is proposed. The mathematical formulation behind the optimization algorithm is reported. The proposed methodology is finally validated on literature benchmarks and on a real component, confirming that it permits to define the topology, which presents the maximized thermal and mechanical performance.

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Elastic and Thermoelastic Scattering Problems and Non-Homogeneous Media

Codegone

1989

Elastic Wave Propagation - Proceedings of the Second I.U.T.A.M. - I.U.P.A.P. Symposium on Elastic Wave Propagation, Galway, Ire

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Asymptotics of the scattering frequencies for a thermoelasticity problem with small thermal conductivity

Cited by 3 publications

References 4 publications

Topology and fibre orientation simultaneous optimisation: A design methodology for fibre-reinforced composite components

Topology and fibre orientation simultaneous optimisation: A design methodology for fibre-reinforced composite components

A new methodology for thermostructural topology optimization: Analytical definition and validation

Elastic and Thermoelastic Scattering Problems and Non-Homogeneous Media

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