D. , G. P. Nariboli-g, and L. W. , Progressive waves, Ludwig prandil memorial lecture, Mannheim, A new type of Burgers,equations. ZAMM, vol.53, pp.505-510, 1973.

A. Sedov and G. A. Nariboli, Visco-elastic waves by the use of wave-front theory, International Journal of Non-Linear Mechanics, vol.6, issue.5, pp.615-624
DOI : 10.1016/0020-7462(71)90024-2

J. P. Lloran and S. F. Shen, 0n the formation of weak plane shock waves by impulsive motion of a piston, J. of Fluid l{ech, vol.25, pp.0-7, 1966.

L. M. , viscosity effects in sound waves of finite amplitude., Surveys in Mechanics, pp.250-351, 1965.

G. P. , Méthodes asymptotiques en mécanique des fluides. Ecole d'Etê de Physique Théorique, 1973.

G. , Shock waves, jump relations and structure, Advance in applied Mech, p.972

W. G. , Linear and nonlinear waves, p.974

S. B. and V. E. , High Frequency Periodic Disturbances in Dissipative Systems : I. Small Amplitude Finite Rate Theory, Proc. Roy.Soc. London, pp.387-415, 1970.

V. E. and C. E. Batch, Large Amplitude Waves in Stratified Media : Acoustic Pulses, J. Fluid Mech, vol.43, pp.513-537, 1970.

P. D. , Propagation of a Rapid Pulse Trough a Relaxing Gas, Phys. Fluids, vol.15, pp.256-262

S. B. Lgls, V. E. References, and R. T. Varley-e, Nonlinear Geometrical Acoustics The propagation of high frequency, finite acceleration pulses and shocks in viscoelastic materials, Proc. Roy. Soc. High frequency, periodic disturbances in dissipative systems, Proc. Roy. Soc, pp.25-28, 1970.

I. M. Seyi-'{our-8, Pulse propagation in a nonlinear viscoelastic rod of finite length, SIAM J. appl . llath, vol.22, pp.209-224, 1972.

B. T. , Plane longitudinal waves of small anrplitude in a nonlinear viscoelastic material Acta mechanica,0n shock structure in a solid, J. Inst, vol.7, issue.1, pp.271-226, 1965.

M. A. , Onde viscoélastique non linêaire de faible amplitude, Arch. l4ech., ro 3, 1979.

W. G. , Linear and nonlinear waves, John tl'i1ey publ . , 1974. lel lnruOnu I.D.,0n shock waves at large distances from the place of their ori g'i n, Sovi et J . of phys, vol.9, pp.496-500, 1945.

G. M. Et and S. E. , 0n the linear theory of viscoelastic'ity, Arch. Rat. Mech. Anal, vol.ll, pp.29-356, 1962.

L. Itol-enun, J. L-'onde-simple-vjscoelastique-linéaire, and . De-llécanique, , pp.449-498

G. P. , Shock waves,jump,relations and structure, Advances in app1. mech, p.2

V. E. , Acceleration fronts in viscoelastic materials, Arch. Rat. Mech. Anal, vol.19, pp.215-217, 1965.

I. Itr, . D. Cot-euan-b, and G. M. Et, 0n the growth and decay of one dimensional acceleration waves, Arch. Rat. l4ech. Anal, pp.239-265, 1965.

H. N. Et and L. E. , Nonlinear viscoelasticity for short time ranges, J. App1. Mech, vol.33, pp.313-321, 1966.

L. J. and J. A. , Short-time approximations in nonlinear viscoelast'icity Pulse propagation in heat-conducting elastic materjals, Int. J. Solids Structures J. Mech. Phys. Solids, vol.3, issue.23, pp.513-520, 1967.

1. Chadiiick-p and S. L. Et,

D. and B. T. , The decay of spherical waves in a linear viscoelastic solid, J. appl. math. and Phys, vol.25, pp.783-789, 1974.

G. P. , Progressive waves, Ludwig prandil memorial lecture

R. N. Lsl, Transient waves in visco-elastic media, 1977.

P. M. , Lois de comportement et ondes dans les milieux élastoplastiques viscoplastiques en déformation finie

P. A. L5l-b0ls, Techniques asymntotiques pour des oroblèr,res de gaz nesants avec apnlication aux ondes atmosphériques

, (m -1)) ^t + 2D an -1 -^k

=. Mîo and . 2d, D + Dz 1m -1)) â* -, t^-^

, (5 -m) -o)'^t< -z-4D a* -3 + ^k, p.4

, A.6 FoRMULES oBTENUES APRES IDENTIFICATIoN DES CoEFFICIENTS DE ik

. Après-avoir-substitué-dans, 17) à i(zi) 91;(2i -2) l"u" développements (2.4.22), et après identification des coefficients de iO à 0, on obtient : z Q e2 (r -m) -o) T{'i) = 1o *' 0212, -m) -D) î{21')r * ((5 m -l) D2 + 5D) T(2i)

=. , 02)z i\2'-;z) -2 (D + n 0213, p.4

Q. @2, r -m) -o1 r{21)z *((5 m -1) D2 + 5D

, -m) -o1 r{21)t*z ar{") *T{?i) -at{'1', =o ez (1 -m) -o) [['i) + z q r[tl), -al*'l)r+ r[21), zD (D + Dz (m -l)) û{2i) = o2 (o + m D2l î{21 I zt 2D (D + o2 1m -r)), D+mD2)t{2112) (D2, pp.21-23

, ^sz)z ;l'1, 2) -z (D + m D?)3/2

Q. @2, + ((s m -1) o2 * so) =[zi), -4 q=, * =[ti)o = (D + ^ozf, p.2

D. Dz, 3/2 n?i -2) + (D + m 021 o

, 4.16) à î(2i) et û(zi) teurs développements (2.4.22) et (2.4.24), et après identification il vient : La substitution dans (2.4.38) à i(Zi) et î(2i -2) de leurs développements (2.4.41) et I'identification à zéro des coefficients O. în donnent : = D2 1o + mo21 i\, ) De même, on substitue dans

, m -1)) î{'1)z* (02 (s -') -D) î{21)r -+o û{2i) -Dz (D + m 021 û{21, pp.4-6

A. J. , , 1968.

, The infruence of heat conduction on propagating stness jumps

, J. Mech. phys. Solids, vol.16, issue.Zl3_Zg

B. T. ,

, Plane longitudinal waves of small amplitude in a nonlinear viscoelastic material. Acta mechanica, pp.2-226

B. T. , , 1974.

, The decay of sphericar waves in a rinear viscoerastic solid

, J. appl. math. and phys, vol.25, pp.7-10

B. D. , , 1965.

, J. Inst. Math. Applic

P. A. B0rs,

, Techniques asytnptotiques pour des problèmes de gaz pesants avec apprication aux ondes atmosphériques

B. B. Er and T. J. ,

, Transient coupled thermoelastic Boundary value problems in the Half-Space, J. Appl. Mech, pp.637-646

L. Brrllourn,

, wave propagation and group verocity, Academic press

B. M. ,

B. L. ,

L. J. ',-onde-simpre-viscoérastique-rinéaire and . De-mécanique, , pp.44-48

B. L. ,

L. J. 'onde-simple-thermoérastique-rinéaire. and . De-mécanique, , pp.63-68

B. L. Et and M. A. ,

. Un-argorithme-de-carcur-en-thermoérasticitê-dynamique,

, J' de Mathématiques et de physique appriquées, pp.123-139

B. L. Et, M. , and N. A. , (à para l trqlil.:!rt1,i,t,_i ' ,. { Progressive waves in general ised thermoelasticity

, J. of thermal stresses. cARSLAW H.s. et JAEGER J.c, 1959.

Ç. , bn gfituài$q'Tft gdl i,ffs'. j 0iTorà uhiveirslty'p"i.bss

C. P. , , 1960.

, hii*;r t'

, ' t -t-iL. , i t,llli i/i rl l,il,i\ "ri

!. Rili and !. ,

. Dynamica and . Thermoelasticity, Ir:Nr.ri$neddonflètrhr,rt;q{qrqi;,. {[Lifl;:y$1'.''T;',i(oltti'Éàridra; nniii.raur, 265-328 iiSt*J t5i "!i 'r;')itir-i'fi )J{i: i;'i:ri\ ' iiil';rrJl;rir )il::iri )

C. J. , , 1959.

C. P. Et and S. L. , '( r-;li fl end s iirn rf,Ta"ËEircri tf }dhd Th éFmd&i/ds't iiC'r' ]dt 1) ; l i' i

(. R. , czarnota -soja#lii ;' m. 'Sitol oi,rs'fi j-' f. zilË'i, p.31

C. J. &bi, C. S. Et, K. J. Iiilii-i, C. B. Et, and G. M. , .'i;itl! 'q Tii':;ri;r';i Perturbation methods ini. iA.: pssfsçbaË{loni.rneËlÉduçorl HfËeflbôlii e -!'quaÛiorrs ùii tii' sriral l Éon r inear.itje:i.'osrnnl,liinpË?l'Ëttâ8h':'l'?iî,{.i{l,igrï'i;:1: rg.ii :.,r,ir:.':r.r ': ':' ir'.'ri { .-11-. ";il" r'Éd mafhemâti'éSr:' Biai'sdêlT iutit, 1965.

, Qn, the, gr.oï,rth{ anflrr{èr6tri, d'fl 'oùè

, Arch. Rat. Mech. Anal, vol.19, pp.239-265

C. R. Et and H. D. , , 1962.

, II : partial differentjel equations, Methods of mathematical physics. Interscjence Publ.. cRTTESCU N, 1967.

, Dynamic Plasticity

C. E. Varley and E. , , p.299, 1970.

D. V. , , 1950.

, Contraintes thermiques résultant de l'échauffement subit de la surface d'un semi-espace élastique. (En russe), P.M.M, vol.4, pp.316-318

, Tables of integral transforms, ERDELYI Bateman Manuscript Project, vol.1, 1954.

F. P. , Thermomechanical effects in elastic wave propagation : a survey

, J. of Sound and Vibration, pp.181-192

F. C. Et and M. A. ,

, Sur la contrainte transitoire engendrée par un choc thermique

, J. of Thermal Stresses

G. P. , progressive waves, pp.11-30, 1971.

G. P. , L972) Shock waves, jump relations and structure. Advance 'in app'lied Mech

G. P. , , 1973.

, Ecole d'Etê de physique théorique, Méthodes asymptotiques en nécanique des fluides

G. P. , 0n the thermal stress induced in a semi-infinite body as a result of a suddenly applied step heat imput, J. of Appl.Mech, 1970.

G. M. Et and P. A. , , 1968.

, A general theory of heat conduction with finite waves speeds

, Arch. Rat. Mech. Anal, pp.113-126

G. M. Et and S. E. , , 1962.

, 0n the linear theory of viscoelasticity

, Arch. Rat. Mech. Anal, vol.11, pp.291-356

G. M. , , 1965.

H. R. , , 1964.

, Solution of the coupled problem of thermoelasticity in the form of series of functions, Arch. Mech. Stos, pp.919-941

H. R. , , 1964.

, Coup'led thermoelastic problem for the half space

. Bull, Acad. polonaise des sciences, série Sci. Techn, pp.49-51

H. R. , , 1975.

, An algorithm for generating some inverse Laplace transforms of exponential form, J. of Appl. Math. Phys. (ZAMP), pp.4-253

H. D. Courant and R. , , 1962.

H. J. , , 1969.

H. N. Et and L. E. , , 1966.

, Nonlinear viscoelasticity for short time ranges

, J. Appl. Mech, vol.33, pp.313-321

J. J. , , 1959.

J. A. , Pulse propagation in heat-conducting elastic materials

, J. Mech. Phys. Sol ids, vol.23, pp.55-75

J. Krvorkran and S. C. Chikwendu, , 1972.

L. J. Cf and J. Lebon, , 1976.

L. and .. D. , , 1945.

, 0n shock waves at large distances from the place of their origin

, Soviet J. of phys, vol.9, pp.496-500

L. P. ,

, Hyperbolic systems of conservation laws. comm. pure App1, Math, pp.537-566

L. J. Et and L. J. , , 1976.

, A consistent thermodynamic formulation of the field equations for elastic bodies removing the paradox of infinite speed of propagation of therma'l signals, J. de Mécanique, vol.15, pp.579-594

L. E. Huang and N. C. ,

L. M. ,

, Viscosity effects in sound waves of finite amplitude. Surveys in Mechanics, pp.250-351

. C. Lrn-w,

L. H. and S. Y. , , 1967.

, A generalised dynamical theory of thermoelasticity

, J. Mech. Phys. Solids, vol.15, pp.299-309

L. J. , , 1967.

, Short-time approximations in nonlinear viscoelasticity

, Int. J. Solids Structures, vol.3, pp.513-520

M. F. Mccarthy, , 1970.

, Constitutive equations for thermomechanical material with memory

, Int. J. Engng. Sci, pp.467-474

M. J. , , 1867.

, 0n the dynamical theory of gases, Phil. Trans. Royal. Soc, vol.157, pp.49-88

A. Moltnart, , 1978.

, Sur la propagation par ondes planes d'une perturbation de faible amplitude dans un demi-espace dissipatif, C.R. Acad. Sc, pp.79-82

M. A. , , 1979.

, Thermoélasticité dynamique : un demi-espace soumis à un échelon de flux thermique, J. de Mécanique, vol.18, pp.73-101

M. A. , , 1979.

, Réponse dynamique d'un demi-espace thermoélastique à un dépôt d'énergie, J. de Mécanique, p.302

M. A. , , 1979.

, Onde viscoélastique non linéaire de faible amplitude

, Arch. Mech, vol.3

M. A. , , 1977.

M. A. , A paraitre). cf. Brun L. Progressive braves in generalised thermoelasticity

M. A. ,

M. J. Sur-la-contrainte.-transitoire-engendrée-par-un-choc-thermiquei and S. S. Et, , 1966.

, 0n the formation of weak plane shock waves by impulsive motion of a piston, J. of Fluid Mech, vol.25, pp.705-718

M. M. Et and S. B. , Pulse propagation in a nonlinear viscoelastic rod of finite length, 1972.

, SIAM J. appl. Math, vol.22, pp.209-224

M. M. , cf. Seymour B.R, 1970.

N. G. Lin-t,-',, , 1973.

, A new type of Burgers' equations. ZAMM, vol.53, pp.505-510

N. G. , , 1971.

N. A. , , 1973.

, Perturbation methods

N. F. , , 1969.

, Wave propagation in the generalized dynamical theory of thermoelasticity

, Quart. J. Mech. Appl. Math, vol.22, pp.283-290

, N0wACKr hl, 1965.

, Certain dynamic prob'lem of thermoelasticity III. Bull. de l'Acad polonaise des Sciences, série Sci. Techn, pp.409-418

N. L^, Dynamic prob'lems of thermoelasticity

N. J. , 0n heat conduction in materials with memory, Quart. Appl. Math, pp.87-204, 1971.

P. D. , Propagation of a Rapid Pulse Trough a Relaxing Gas, Phys. Fluids, vol.15, pp.256-262

M. Prau,

, Lois de comportement et ondes dans les milieux élastoplastiques viscop'lastiques en déformation finie, Thèse

P. A. , cf. Gurtin M.E, 1968.

R. N. , Transient waves in viscoelastic media

R. T. , , 1967.

R. M. , , 1976.

, Asytnptotic wave theory

N. G. Sedov-4, Viscoelastic wave by the use of wave-front theory, 1971.

, Int. J. Nonlinear Rech, pp.6-6

S. L. Chadwick and P. ,

S. B. Varley-e, High Frequency Periodic Disturbances in Dissipative Systems : I. Small Amp'litude Finite Rate Theory, Proc. Roy. Soc, pp.387-415, 1970.

S. , |. B. Et, and M. M. , , 1975.

, Nonlinear Geometrical Acoustics. Mechanics Today. srYMOuR B. R, vol.Z, pp.251-313, 1976.

, weak Shocks in dissipatives systems, J.Appl. Math. phys, vol.27, pp.49-59

S. B. , cf. Mortell M.P, 1972.

S. S. , cf. Moran J.P, 1966.

S. Y. , cf. Lord H.l,l. srD0ROFF F Variables internes en viscoélasticité, J. de Mécanique, vol.14, pp.546-566, 1967.

D. V. , , 1967.

, Thermal stresses in a semi-infinite medium due to constant heat flux at the surface, Arch. Budowy Masgyn, pp.65-72

S. R. , , 1972.

, The use of integral transforms

S. A. Et and B. M. , , 1965.

, 0n the solution to transient coupled thermoelastic problems by perturbation techniques, J. Appl. Mech, pp.389-399

S. E. Et and C. J. , , 1959.

, 0n inertia effect in a transient thermoelastic problem

, J. of Appl. Mech, pp.503-509

S. E. Gurtin and M. E. , , 1962.

T. J. , , 1962.

V. E. , Acceleration fronts in viscoelastic materials, 1965.

, Arch. Rat. Mech. Ana1, vol.9, pp.215-225

V. E. Et and C. E. , , 1970.

, Large Amplitude Waves in Stratified Media : Acoustic Pulses

, J. Fluid Mech, vol.43, pp.513-537

V. E. and R. T. , The propagation of high frequency, finite acceleration pulses and shocks in viscoelastic materials, Proc. Roy. Soc, vol.296, pp.498-518, 1967.

V. E. , , 1970.

W. , .. E. Noorwood, and F. R. , , 1969.

L. G. , , 1959.

, Some conrnents on wave propagation and shock wave structure with appl ication to magneto-hydrodynamics

. Com, Pure App1, Math, vol.12, pp.113-158

H. [. , , 1974.

, Linear and nonlinear waves

W. J. ,

, Thèse

Z. T. , , 1965.

, Stress waves generated by heat addition in an elastic solid

, J. App1. Mech, pp.143-150