a(mm)
Half length of the Griffith crack
Edge length of the base polyhedron of the “TOP” model foam glass
Length for description of the base polyhedra of the model foam glasses "Beta" and "Ortho"
C𝚒J(N/mm2)
Element of the matrix of the moduli of elasticity
[C𝚒J]
Matrix of the moduli of elasticity
d(N/mm)
Linear load
D(mmN)
Plate stiffness of the cell wall films of the model foam glasses
D(mm)
Diameter of a test cylinder
𝚎𝚒j(-)
Differentiation of the displacement according to the coordinates xj
E(N/mm2)
Modulus of elasticity
E(n∗)(N/mm2)
Modulus of elasticity of the spherical foam glass with the porosity n∗
Ev(N/mm2)
E(z)(N/mm2)
=:
F(ξ,η)(N)
Stress function according to Airy F(ξ, η)
Fo(mm2)
Cross-sectional surface of a test piece
K(mm-1)
Mean curvature of a cell wall film of the polyhedron foam
F(mm2)
Cross-sectional surface of a fictitious edge beam of a material sub-unit of the model foam glass
g(mm/sec2)
Gravitational acceleration
G(n∗)(N/mm2)
Shear modulus of the spherical foam glass with the porosity n∗
G(N/mm2)
Shear modulus
h(N /mm)
Jξ(mm4)
on the ξ -axis of the cross-section of the fictitious edge beam-related second moment of area
Jζ(mm4)
On the η -axis of the cross-section of the fictitious edge beam-related second moment of area
Jp(mm4)
polar moment of inertia of the fictitious edge beam
k(-)
Form factor of the spherical pores in the elastic medium
Ratio
L(mm)
Length of a test cylinder
L̅3(mm)
Mean sectional length of the space-filling elementary polyhedron of the polyhedron foam glass on a test line
mξ(N)
Unit sectional length of the planar cell wall film-related Bending moment
mη(N)
Unit sectional length of the planar cell wall film-related bending moment
mξη(N)
Unit sectional length of the planar cell wall film-related torsional moment
Mt(mmN)
Torsional moment
MtB(mmN)
Torsional moment at fracture
n(-)
Porosity of a foam glass body
n∗(-)
Porosity of the spherical foam glass
Porosity of the cell wall films of the polyhedron foam glass alone
nz(-)
Relationship between the gas volume included in the polyhedron bubbles of a polyhedron foam glass sample and the sample volume
nξ(N/mm)
Unit sectional length of the planar cell wall film-related Normal force
nn(N/mm)
NB(N)
External tensile force at fracture -->
NL(mm−1)
Number of sections of the base polyhedron of the polyhedron foam glass per unit length of the test line in an intersecting plane
p(N/mm2)
Internal pressure of the cell bubbles of a foam
ρ(ξ,η)(N/mm2)
Surface loading acting normally to the ξ η -plane
p(x)(N/mm)
Linear load acting in direction of the space
p(y)(N /mm)
p(z)(N/mm)
P(N)
Force, load
qξ(N /mm)
Unit sectional length of the planar cell wall film-related Lateral force
r(mm)
Radius of the plateau edge
Vector
R1(mm)
Curvature radius of a cell wall film
R2(mm)
Displacement vector
Sv(mm-1)
The volume unit-related centre surface of the polyhedron foam glass wall films of the polyhedron foam glass
t(mm)
Thickness of the assumed planar surface cell wall films of the polyhedron foam glass
Ts(°C)
Expansion temperature of the foam glass
u(mm)
Displacement in direction ξ of the coordinate system ξ,η,ζ
ui(mm)
Displacement
v(mm)
Displacement in direction η of the coordinate system ξ,η,ζ
w(mm)
Displacement in the direction ζ of the coordinate system ξ,η,ζ
Displacement vector in the coordinate system ξ,η,ζ
w(ξ,η)(mm)
Bending normal to the ξ η -plane
Wt(mm3)
Torsional resistance moment
x(mm)
Coordinate
Xi(N)
Force
y(mm)
z(mm)
α(N /mm)
Surface stress of the liquid film of a foam
γo(N /mm)
Specific surface energy
γξη(-)
Angle change
δ1(mm)
Thickness of the cell wall film in its centre
δ2(mm)
Thickness of the cell wall film at its edge
Δ(mm-2)
Laplace - Operator (=:)
ε(-)
εi(-)
Distortion
εiJ(-)
Distortion vector
εq(-)
Measured lateral strain of the foam glass test cylinder
ε1(-)
Measured longitudinal elongation of the foam glass test cylinder
ζ(mm)
η(mm)
λ(-)
Slenderness ratio
λ(W /m⋅°C)
Thermal conductivity of the foam glass
λdB(mm)
Specific compressive strength of foam glass
ν(-)
Poisson’s ratio nt-->
ν(n∗)(-)
Poisson’s ratio of the spherical foam glass with the porosity n∗
νv(-)
Poisson’s ratio according to Voigt
ν(z,x)(-)
=:-
ν(z,y)(-)
ρ(gr /cm3)
Density of foam glass
ρGlas(gr /cm3)
Density of the solid glass making up the foam glass body
ρ∗(gr /cm3)
Density of the cell wall films of Spherical foam glass
σ(N /mm2)
Stress
σc(N /mm2)
Critical stress according to Griffith
σ(x)(N /mm2)
External surface loading in direction x of the space
σ(y)(N /mm2)
External surface loading in direction y of the space
σ(z)(N /mm2)
External surface loading in direction z of the space
(n∗)(N /mm2)
Tensile strength of the base material of the spherical foam glass
σB(n∗)(N /mm2)
Tensile strength of the spherical foam glass with porosity n∗
σB(N /mm2)
Tensile strength
Measured tensile strength of the foam glass
(N /mm2)
Tensile strength in direction x of the space
Tensile strength in direction y of the space
Tensile strength in direction z of the space
σdB(N /mm2)
Measured compressive strength
Compressive strength in direction x of the space
Compressive strength in direction y of the space
Compressive strength in direction z of the space
σξ(N /mm2)
Normal stress (membrane action)
ση(N /mm2)
NNormal stress (membrane action)
σij(N /mm2)
σi(N /mm2)
Stress vector
τξη(N /mm2)
SShear stress (membrane action)
τB(N /mm2)
Shear strength
Measured torsional shear strength
Shear strength in relationship to the normal stress-free planes E(φ=45o) or E(φ=135o)
Shear strength in relationship to the normal stress-free planes E(φ=450) or E(φ=135o)
ω(-)
ωt°C-1
Linear coefficient of thermal expansion
Torsional vector