Progressive waves, Ludwig prandil memorial lecture, Mannheim, A new type of Burgers,equations. ZAMM, vol.53, pp.505-510, 1973. ,
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
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. ,
viscosity effects in sound waves of finite amplitude., Surveys in Mechanics, pp.250-351, 1965. ,
Méthodes asymptotiques en mécanique des fluides. Ecole d'Etê de Physique Théorique, 1973. ,
Shock waves, jump relations and structure, Advance in applied Mech, p.972 ,
, Linear and nonlinear waves, p.974
High Frequency Periodic Disturbances in Dissipative Systems : I. Small Amplitude Finite Rate Theory, Proc. Roy.Soc. London, pp.387-415, 1970. ,
Large Amplitude Waves in Stratified Media : Acoustic Pulses, J. Fluid Mech, vol.43, pp.513-537, 1970. ,
Propagation of a Rapid Pulse Trough a Relaxing Gas, Phys. Fluids, vol.15, pp.256-262 ,
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. ,
Pulse propagation in a nonlinear viscoelastic rod of finite length, SIAM J. appl . llath, vol.22, pp.209-224, 1972. ,
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. ,
Onde viscoélastique non linêaire de faible amplitude, Arch. l4ech., ro 3, 1979. ,
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. ,
0n the linear theory of viscoelastic'ity, Arch. Rat. Mech. Anal, vol.ll, pp.29-356, 1962. ,
, , pp.449-498
Shock waves,jump,relations and structure, Advances in app1. mech, p.2 ,
Acceleration fronts in viscoelastic materials, Arch. Rat. Mech. Anal, vol.19, pp.215-217, 1965. ,
0n the growth and decay of one dimensional acceleration waves, Arch. Rat. l4ech. Anal, pp.239-265, 1965. ,
Nonlinear viscoelasticity for short time ranges, J. App1. Mech, vol.33, pp.313-321, 1966. ,
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. ,
,
The decay of spherical waves in a linear viscoelastic solid, J. appl. math. and Phys, vol.25, pp.783-789, 1974. ,
Progressive waves, Ludwig prandil memorial lecture ,
Transient waves in visco-elastic media, 1977. ,
Lois de comportement et ondes dans les milieux élastoplastiques viscoplastiques en déformation finie ,
Techniques asymntotiques pour des oroblèr,res de gaz nesants avec apnlication aux ondes atmosphériques ,
, (m -1)) ^t + 2D an -1 -^k
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
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 ,
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
+ ((s m -1) o2 * so) =[zi), -4 q=, * =[ti)o = (D + ^ozf, p.2 ,
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
, , 1968.
, The infruence of heat conduction on propagating stness jumps
, J. Mech. phys. Solids, vol.16, issue.Zl3_Zg
,
, Plane longitudinal waves of small amplitude in a nonlinear viscoelastic material. Acta mechanica, pp.2-226
, , 1974.
, The decay of sphericar waves in a rinear viscoerastic solid
, J. appl. math. and phys, vol.25, pp.7-10
, , 1965.
, J. Inst. Math. Applic
,
, Techniques asytnptotiques pour des problèmes de gaz pesants avec apprication aux ondes atmosphériques
,
, Transient coupled thermoelastic Boundary value problems in the Half-Space, J. Appl. Mech, pp.637-646
,
, wave propagation and group verocity, Academic press
,
,
, , pp.44-48
,
, , pp.63-68
,
,
, J' de Mathématiques et de physique appriquées, pp.123-139
(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.
bn gfituài$q'Tft gdl i,ffs'. j 0iTorà uhiveirslty'p"i.bss ,
, , 1960.
, hii*;r t'
, ' t -t-iL. , i t,llli i/i rl l,il,i\ "ri
,
Ir:Nr.ri$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 ) ,
, , 1959.
'( r-;li fl end s iirn rf,Ta"ËEircri tf }dhd Th éFmd&i/ds't iiC'r' ]dt 1) ; l i' i ,
czarnota -soja#lii ;' m. 'Sitol oi,rs'fi j-' f. zilË'i, p.31 ,
.'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
, , 1962.
, II : partial differentjel equations, Methods of mathematical physics. Interscjence Publ.. cRTTESCU N, 1967.
, Dynamic Plasticity
, , p.299, 1970.
, , 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.
Thermomechanical effects in elastic wave propagation : a survey ,
, J. of Sound and Vibration, pp.181-192
,
, Sur la contrainte transitoire engendrée par un choc thermique
, J. of Thermal Stresses
progressive waves, pp.11-30, 1971. ,
L972) Shock waves, jump relations and structure. Advance 'in app'lied Mech ,
, , 1973.
, Ecole d'Etê de physique théorique, Méthodes asymptotiques en nécanique des fluides
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. ,
, , 1968.
, A general theory of heat conduction with finite waves speeds
, Arch. Rat. Mech. Anal, pp.113-126
, , 1962.
, 0n the linear theory of viscoelasticity
, Arch. Rat. Mech. Anal, vol.11, pp.291-356
, , 1965.
, , 1964.
, Solution of the coupled problem of thermoelasticity in the form of series of functions, Arch. Mech. Stos, pp.919-941
, , 1964.
, Coup'led thermoelastic problem for the half space
, Acad. polonaise des sciences, série Sci. Techn, pp.49-51
, , 1975.
, An algorithm for generating some inverse Laplace transforms of exponential form, J. of Appl. Math. Phys. (ZAMP), pp.4-253
, , 1962.
, , 1969.
, , 1966.
, Nonlinear viscoelasticity for short time ranges
, J. Appl. Mech, vol.33, pp.313-321
, , 1959.
Pulse propagation in heat-conducting elastic materials ,
, J. Mech. Phys. Sol ids, vol.23, pp.55-75
, , 1972.
, , 1976.
, , 1945.
, 0n shock waves at large distances from the place of their origin
, Soviet J. of phys, vol.9, pp.496-500
,
, Hyperbolic systems of conservation laws. comm. pure App1, Math, pp.537-566
, , 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
,
,
, Viscosity effects in sound waves of finite amplitude. Surveys in Mechanics, pp.250-351
,
, , 1967.
, A generalised dynamical theory of thermoelasticity
, J. Mech. Phys. Solids, vol.15, pp.299-309
, , 1967.
, Short-time approximations in nonlinear viscoelasticity
, Int. J. Solids Structures, vol.3, pp.513-520
, , 1970.
, Constitutive equations for thermomechanical material with memory
, Int. J. Engng. Sci, pp.467-474
, , 1867.
, 0n the dynamical theory of gases, Phil. Trans. Royal. Soc, vol.157, pp.49-88
, , 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
, , 1979.
, Thermoélasticité dynamique : un demi-espace soumis à un échelon de flux thermique, J. de Mécanique, vol.18, pp.73-101
, , 1979.
, Réponse dynamique d'un demi-espace thermoélastique à un dépôt d'énergie, J. de Mécanique, p.302
, , 1979.
, Onde viscoélastique non linéaire de faible amplitude
, Arch. Mech, vol.3
, , 1977.
A paraitre). cf. Brun L. Progressive braves in generalised thermoelasticity ,
,
, , 1966.
, 0n the formation of weak plane shock waves by impulsive motion of a piston, J. of Fluid Mech, vol.25, pp.705-718
, Pulse propagation in a nonlinear viscoelastic rod of finite length, 1972.
, SIAM J. appl. Math, vol.22, pp.209-224
, cf. Seymour B.R, 1970.
, , 1973.
, A new type of Burgers' equations. ZAMM, vol.53, pp.505-510
, , 1971.
, , 1973.
, Perturbation methods
, , 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
Dynamic prob'lems of thermoelasticity ,
0n heat conduction in materials with memory, Quart. Appl. Math, pp.87-204, 1971. ,
Propagation of a Rapid Pulse Trough a Relaxing Gas, Phys. Fluids, vol.15, pp.256-262 ,
,
, Lois de comportement et ondes dans les milieux élastoplastiques viscop'lastiques en déformation finie, Thèse
, cf. Gurtin M.E, 1968.
Transient waves in viscoelastic media ,
, , 1967.
, , 1976.
, Asytnptotic wave theory
Viscoelastic wave by the use of wave-front theory, 1971. ,
, Int. J. Nonlinear Rech, pp.6-6
,
High Frequency Periodic Disturbances in Dissipative Systems : I. Small Amp'litude Finite Rate Theory, Proc. Roy. Soc, pp.387-415, 1970. ,
, , 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
, cf. Mortell M.P, 1972.
, cf. Moran J.P, 1966.
cf. Lord H.l,l. srD0ROFF F Variables internes en viscoélasticité, J. de Mécanique, vol.14, pp.546-566, 1967. ,
, , 1967.
, Thermal stresses in a semi-infinite medium due to constant heat flux at the surface, Arch. Budowy Masgyn, pp.65-72
, , 1972.
, The use of integral transforms
, , 1965.
, 0n the solution to transient coupled thermoelastic problems by perturbation techniques, J. Appl. Mech, pp.389-399
, , 1959.
, 0n inertia effect in a transient thermoelastic problem
, J. of Appl. Mech, pp.503-509
, , 1962.
, , 1962.
Acceleration fronts in viscoelastic materials, 1965. ,
, Arch. Rat. Mech. Ana1, vol.9, pp.215-225
, , 1970.
, Large Amplitude Waves in Stratified Media : Acoustic Pulses
, J. Fluid Mech, vol.43, pp.513-537
The propagation of high frequency, finite acceleration pulses and shocks in viscoelastic materials, Proc. Roy. Soc, vol.296, pp.498-518, 1967. ,
, , 1970.
, , 1969.
, , 1959.
, Some conrnents on wave propagation and shock wave structure with appl ication to magneto-hydrodynamics
Pure App1, Math, vol.12, pp.113-158 ,
, , 1974.
, Linear and nonlinear waves
,
, Thèse
, , 1965.
, Stress waves generated by heat addition in an elastic solid
, J. App1. Mech, pp.143-150