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CONSTITUTIVE EQUATIONS FOR SOLID PROPELLANTS

CONSTITUTIVE EQUATIONS FOR SOLID PROPELLANTS

CONSTITUTIVE EQUATIONS FOR SOLID PROPELLANTS

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Nomenclature<br />

A; B; n constitutive constants in evolution equation of c<br />

C<br />

c<br />

E<br />

E(t)<br />

E r<br />

F<br />

f<br />

g<br />

I i<br />

I <br />

J<br />

K<br />

K 0 ;C<br />

p<br />

q<br />

Q<br />

Q r<br />

S<br />

s i<br />

T<br />

t<br />

1 ; 2 ; 1<br />

i<br />

right Cauchy-Green deformation tensor<br />

void volume fraction<br />

Green strain tensor<br />

tensile relaxation modulus<br />

reference modulus<br />

deformation gradient<br />

unloading/reloading function<br />

softening function<br />

invariants of the volume-preserving part of C<br />

\octahedral shear" strain<br />

ratio of current to reference volume<br />

bulk modulus<br />

constitutive constants in evolution equation of K<br />

superimposed pressure<br />

generalized displacement<br />

generalized force<br />

pseudo-generalized force<br />

symmetric Piola-Kirchho stress tensor<br />

internal state variables<br />

Cauchy stress tensor<br />

current time<br />

constitutive constants in <br />

principal stretches<br />

20

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