2012
DOI: 10.4028/www.scientific.net/amr.538-541.2102
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Wave Front Analysis of a Supersonically Moving Edge Dislocation

Abstract: In a transient analysis of an edge dislocation accelerating through the shear wave speed barrier, stress on the forming Mach fronts is analyzed, the wave front equations are given, as well as the effect of the acceleration of the moving edge dislocation on the geometry of the fronts.

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Cited by 1 publication
(1 citation statement)
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“…(5) CaQU =@ u; QO |J}B |}=H@=v l} xm |y=vDt=v \}Lt l} R= |Q}wYD "1 pmW t = 0 u=tR QO QwmPt |}=H@=v |xDUy "Ovm|t CmQL x=wNrO |}=DU=Q QO v C@=F j@]vt x QwLt |ivt |xt}v Q@ u; VRer |xLiY w OQ=O Q= Qk C=YDNt -=O@t QO "s}yO|t u=Wv =@ x QwLt =@ = Q |}=H@=v u}= CmQL O=ODt= |x}w= R "CU= OL |DaQU xm lQLDt \rDNt w |}x@r '|J}B |=y|}=H@=v |= Q@ [10]7 utDQ} w x@ xm |}=yu; |= Q@ u}vJty w OvQ=O |rw] w |WQ@ G=wt= Q=WDv= CaQU pY=i |xrUt [11] w |WQ@ G=wt= CaQU pY=i OL |DaQU x@ , =D}=yv w Ovm|t R=e; uwmU u}ty [12]9 uwDi}rm w hmRvmQ=t 'QDOa@ |tm "O=O Q= Qk p}rLD w x} RHD OQwt 'OUQ|t "OvO=O Q= Qk xar=]t OQwt |}x@r |}=H@=v l} |= Q@ = Q xrUt |}=H@=v l} CN=wvm} CmQL R= |W=v |v=UWm |=yu=O}t |= Q@ [13]10 uwD}B [14]11 ww "OQm G= QNDU= = Q |r}rLD |D=Q=@a '|@v=H OQov=Uty \}Lt l} QO |}x@r OQov=Uty=v \}Lt l} QO xm x=wNrO |}=H@=v l} |v=UWm |=yu=O}t |= Q@ R}v x= Q 'OUQ|t C@=F |DaQU x@ , =D}=yv w Ovm|t CmQL x@ R=e; uwmU Cr=L R= |xrO=at '|@}QkD p}rLD l} QO [15] Vv=Q=mty w 12 uwr}B "OQm x=Q= |r}rLD |rL |D}@Uv C= QF= uDiQo Q_v QO =@ = Q |}x@r w |J}B |=y|}=H@=v Q=O@=DW CmQL =@ [16] Vv=Q=mty w 13 [17] 'hmRvmQ=t w 14 nv=wy R= |}xar=]t QO "OvOQw; OQwt 'Ovm|t x@ QHD = Q Q=O@=DW |DmQL |WQ@ G=wt= Q=WDv= CaQU |xOwOLt QO QO xm |}x@r |}=H@=v l} |xrUt |= Q@ [18] utDQ} w "CiQo Q= Qk p}rLD w x} RHD CUO x@ |r}rLD |@=wH 'CU= CmQL p=L QO TvHty=v \}Lt wO u}@ RQt |r=wL "OQw; |xrO=at |xDi=}s}taD CQwY 'xS}w VvQm swyit R= xO=iDU= =@ [19] [20] Qo}O "OQw; CUO x@ = Q CmQL |@} QkD CqO=at 'OW=@ Q}eDt u=tR ?UL Q@ '|}x@r =} xm = Q |}x@r |}=H@=v l} R= pY=L Gwt |v=W}B |xrO=at [21]18 nv * O w nv=wy "OvOQw; CUO x@ 'CU= Q=O@=DW |DmQL |= Q=O CwY= Qi |=yCaQU |xOwOLt QO w |J}B |=y|}=H@=v |= Q@ 'xDi=}s}taD `@=wD R= xO=iDU= =@ [22] |v} Qo}rB w 19 Q= Rq |}xar=]t QO "OvOQm G= QNDU= = Q |r}rLD |D=Q=@a 'Q}eDt CaQU |= Q=O lQLDt |}x@r |xrUt 'G=wt= Q=WDv= l}t=v}OwDUq= |x}Q_v ?wJQ=J QO [23] |v} Qo}rB R= Qo}O x} RHD OQwt 'Ovm|t Q}U OQov=Uty=v |]}Lt QO C@=F CaQU =@ xm |mQLDt |}=H@=v |v=UWm |=yu=O}t [24] 'pmwD w |v=irO R= |}xar=]t QO , = Q}N= "OW `k=w p}rLD w u}}aD VvQm u=}O= Qo |x}Q_v ?wJQ=J…”
mentioning
confidence: 99%
“…(5) CaQU =@ u; QO |J}B |}=H@=v l} xm |y=vDt=v \}Lt l} R= |Q}wYD "1 pmW t = 0 u=tR QO QwmPt |}=H@=v |xDUy "Ovm|t CmQL x=wNrO |}=DU=Q QO v C@=F j@]vt x QwLt |ivt |xt}v Q@ u; VRer |xLiY w OQ=O Q= Qk C=YDNt -=O@t QO "s}yO|t u=Wv =@ x QwLt =@ = Q |}=H@=v u}= CmQL O=ODt= |x}w= R "CU= OL |DaQU xm lQLDt \rDNt w |}x@r '|J}B |=y|}=H@=v |= Q@ [10]7 utDQ} w x@ xm |}=yu; |= Q@ u}vJty w OvQ=O |rw] w |WQ@ G=wt= Q=WDv= CaQU pY=i |xrUt [11] w |WQ@ G=wt= CaQU pY=i OL |DaQU x@ , =D}=yv w Ovm|t R=e; uwmU u}ty [12]9 uwDi}rm w hmRvmQ=t 'QDOa@ |tm "O=O Q= Qk p}rLD w x} RHD OQwt 'OUQ|t "OvO=O Q= Qk xar=]t OQwt |}x@r |}=H@=v l} |= Q@ = Q xrUt |}=H@=v l} CN=wvm} CmQL R= |W=v |v=UWm |=yu=O}t |= Q@ [13]10 uwD}B [14]11 ww "OQm G= QNDU= = Q |r}rLD |D=Q=@a '|@v=H OQov=Uty \}Lt l} QO |}x@r OQov=Uty=v \}Lt l} QO xm x=wNrO |}=H@=v l} |v=UWm |=yu=O}t |= Q@ R}v x= Q 'OUQ|t C@=F |DaQU x@ , =D}=yv w Ovm|t CmQL x@ R=e; uwmU Cr=L R= |xrO=at '|@}QkD p}rLD l} QO [15] Vv=Q=mty w 12 uwr}B "OQm x=Q= |r}rLD |rL |D}@Uv C= QF= uDiQo Q_v QO =@ = Q |}x@r w |J}B |=y|}=H@=v Q=O@=DW CmQL =@ [16] Vv=Q=mty w 13 [17] 'hmRvmQ=t w 14 nv=wy R= |}xar=]t QO "OvOQw; OQwt 'Ovm|t x@ QHD = Q Q=O@=DW |DmQL |WQ@ G=wt= Q=WDv= CaQU |xOwOLt QO QO xm |}x@r |}=H@=v l} |xrUt |= Q@ [18] utDQ} w "CiQo Q= Qk p}rLD w x} RHD CUO x@ |r}rLD |@=wH 'CU= CmQL p=L QO TvHty=v \}Lt wO u}@ RQt |r=wL "OQw; |xrO=at |xDi=}s}taD CQwY 'xS}w VvQm swyit R= xO=iDU= =@ [19] [20] Qo}O "OQw; CUO x@ = Q CmQL |@} QkD CqO=at 'OW=@ Q}eDt u=tR ?UL Q@ '|}x@r =} xm = Q |}x@r |}=H@=v l} R= pY=L Gwt |v=W}B |xrO=at [21]18 nv * O w nv=wy "OvOQw; CUO x@ 'CU= Q=O@=DW |DmQL |= Q=O CwY= Qi |=yCaQU |xOwOLt QO w |J}B |=y|}=H@=v |= Q@ 'xDi=}s}taD `@=wD R= xO=iDU= =@ [22] |v} Qo}rB w 19 Q= Rq |}xar=]t QO "OvOQm G= QNDU= = Q |r}rLD |D=Q=@a 'Q}eDt CaQU |= Q=O lQLDt |}x@r |xrUt 'G=wt= Q=WDv= l}t=v}OwDUq= |x}Q_v ?wJQ=J QO [23] |v} Qo}rB R= Qo}O x} RHD OQwt 'Ovm|t Q}U OQov=Uty=v |]}Lt QO C@=F CaQU =@ xm |mQLDt |}=H@=v |v=UWm |=yu=O}t [24] 'pmwD w |v=irO R= |}xar=]t QO , = Q}N= "OW `k=w p}rLD w u}}aD VvQm u=}O= Qo |x}Q_v ?wJQ=J…”
mentioning
confidence: 99%