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Materials Selection and Design Considerations

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An Insight Into Metal Based Foams

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 145))

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Abstract

This chapter describes material selection in relation to design considerations using open literature resources. The mechanical, thermal, and electrical properties underlined by fundamental knowledge of design analysis for materials selection is succinctly described. More specifically, the elastic deformation and constitutive equations for failure, buckling, and torsion phenomena are presented. Failure mechanism of dense and metallic foams is explained in relation to materials and design prospective. The chapter also focusses on procedure, function, objectives, constraints, free variable along with single optimization methods, and significance of materials. Additionally, the chapter also addresses the indices for metal foam design of simple structures and constitutive equations for the same are highlighted.

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Abbreviations

E:

Young’s modulus or modulus of elasticity

G:

Shear modulus

Et:

Tensile modulus

Ec:

Compression modulus

R:

Resistance of parent metal

Rs:

Resistance of metal foam

L:

Length of panel

B:

Breadth of panel

T:

Thickness of panel

F:

Force per unit width

S*:

Desired bending stiffness

I:

Second moment of area of section

B1, B2:

Constant depending upon the distribution of load

M:

Mass of the panel

x:

Distance of fiber from neutral axis

dA:

The cross section of fiber

Τ:

Torque exerted by the fiber on beam after loading

ym:

Normal distance of outer surface from neutral axis

J:

Polar moment of inertia

M:

Moment

b1, b2:

Constants depending upon the type of loading and the supports of the beam

Ff:

Failure force

Mf:

Failure moment

C:

Constant value which depend upon the support and type of loading

Fcrit:

Critical force required to buckle the beam loaded axially

N:

Half wavelength in buckled shape

K:

Stiffness

T:

Torque applied on cross–section

ρ:

Density of foam

ρs:

Density of parent metal

ρ/ρs:

Relative density of metal foam with respect to parent metal

υ:

Poison’s ratio

εD:

Densification strain

σp1:

Plateau stress

σts:

Ultimate tensile strength

λ :

Thermal Conductivity of parent metal

λs:

Thermal Conductivity of metal foam

ƍ:

Density of panel

σy:

Tensile strength

σ1, σ2, σ3:

Principle stresses

Ɛ:

Strain in fiber

δθ:

An angle subtended by fiber at the center

Δ:

Deflection of the beam

θ :

End slope

τs:

Shearing stress

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Sandip Institute of Technology and Research Centre, Nashik, Maharashtra, India

    Dr. Dipen Kumar Rajak

  2. Department of Mechanical Engineering, National University of Singapore, Singapore, Singapore

    Prof. Manoj Gupta

Authors
  1. Dr. Dipen Kumar Rajak
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  2. Prof. Manoj Gupta
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Correspondence to Dipen Kumar Rajak .

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Rajak, D.K., Gupta, M. (2020). Materials Selection and Design Considerations. In: An Insight Into Metal Based Foams. Advanced Structured Materials, vol 145. Springer, Singapore. https://doi.org/10.1007/978-981-15-9069-6_4

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