Forgeabilité des aciers inoxydables austéno-ferritiques

More documents

Recommendations

Info

tel-00672279, version 1 - 21 Feb 2012 182 Appendices
tel-00672279, version 1 - 21 Feb 2012 Appendices 183 Appendix B: Strain computations The calculations presented in this section can also be found in Refs. [98] and [128]. The objective is to understand how the strains are computed in the software CorrelManuV. B.1 Definition of the local strain Let X be the position in a reference orthonormal coordinate system of a material point in the initial configuration of a three dimensional continuous medium and x its position in the same reference system in the current configuration. The gradient of the mechanical transformation at X is then: where F �x � X � , eq B.1 X X � Y et x� y . Z x z The Green-Lagrange strain tensor � GL is defined as: 1 ( F F I) , 2 t � GL � � � � eq B.2 where I is the unit tensor and t denotes the transposition. � GL depends non-linearly on F , but for small strains it may be approximated by its linearized counterpart: t 1 � lin � � ( F � F) � I. eq B.3 2 B.2 Average strain over a domain Let� be a given regular domain of the initial configuration, which might be multiply connected. Let �� be its regular edge, with outer normal n , andV� its volume. The average transformation gradient over� is given by: F 1 � FdV � � V � � � � . eq B.4
Page 1 and 2:
tel-00672279, version 1 - 21 Feb 20
Page 3 and 4:
tel-00672279, version 1 - 21 Feb 20
Page 5 and 6:
tel-00672279, version 1 - 21 Feb 20
Page 7 and 8:
tel-00672279, version 1 - 21 Feb 20
Page 9 and 10:
tel-00672279, version 1 - 21 Feb 20
Page 11 and 12:
tel-00672279, version 1 - 21 Feb 20
Page 13 and 14:
tel-00672279, version 1 - 21 Feb 20
Page 15 and 16:
tel-00672279, version 1 - 21 Feb 20
Page 17 and 18:
tel-00672279, version 1 - 21 Feb 20
Page 19 and 20:
tel-00672279, version 1 - 21 Feb 20
Page 21 and 22:
tel-00672279, version 1 - 21 Feb 20
Page 23 and 24:
tel-00672279, version 1 - 21 Feb 20
Page 25 and 26:
tel-00672279, version 1 - 21 Feb 20
Page 27 and 28:
tel-00672279, version 1 - 21 Feb 20
Page 29 and 30:
tel-00672279, version 1 - 21 Feb 20
Page 31 and 32:
tel-00672279, version 1 - 21 Feb 20
Page 33 and 34:
tel-00672279, version 1 - 21 Feb 20
Page 35 and 36:
tel-00672279, version 1 - 21 Feb 20
Page 37 and 38:
tel-00672279, version 1 - 21 Feb 20
Page 39 and 40:
tel-00672279, version 1 - 21 Feb 20
Page 41 and 42:
tel-00672279, version 1 - 21 Feb 20
Page 43 and 44:
tel-00672279, version 1 - 21 Feb 20
Page 45 and 46:
tel-00672279, version 1 - 21 Feb 20
Page 47 and 48:
tel-00672279, version 1 - 21 Feb 20
Page 49 and 50:
tel-00672279, version 1 - 21 Feb 20
Page 51 and 52:
tel-00672279, version 1 - 21 Feb 20
Page 53 and 54:
tel-00672279, version 1 - 21 Feb 20
Page 55 and 56:
tel-00672279, version 1 - 21 Feb 20
Page 57 and 58:
tel-00672279, version 1 - 21 Feb 20
Page 59 and 60:
tel-00672279, version 1 - 21 Feb 20
Page 61 and 62:
tel-00672279, version 1 - 21 Feb 20
Page 63 and 64:
tel-00672279, version 1 - 21 Feb 20
Page 65 and 66:
tel-00672279, version 1 - 21 Feb 20
Page 67 and 68:
tel-00672279, version 1 - 21 Feb 20
Page 69 and 70:
tel-00672279, version 1 - 21 Feb 20
Page 71 and 72:
tel-00672279, version 1 - 21 Feb 20
Page 73 and 74:
tel-00672279, version 1 - 21 Feb 20
Page 75 and 76:
tel-00672279, version 1 - 21 Feb 20
Page 77 and 78:
tel-00672279, version 1 - 21 Feb 20
Page 79 and 80:
tel-00672279, version 1 - 21 Feb 20
Page 81 and 82:
tel-00672279, version 1 - 21 Feb 20
Page 83 and 84:
tel-00672279, version 1 - 21 Feb 20
Page 85 and 86:
tel-00672279, version 1 - 21 Feb 20
Page 87 and 88:
tel-00672279, version 1 - 21 Feb 20
Page 89 and 90:
tel-00672279, version 1 - 21 Feb 20
Page 91 and 92:
tel-00672279, version 1 - 21 Feb 20
Page 93 and 94:
tel-00672279, version 1 - 21 Feb 20
Page 95 and 96:
tel-00672279, version 1 - 21 Feb 20
Page 97 and 98:
tel-00672279, version 1 - 21 Feb 20
Page 99 and 100:
tel-00672279, version 1 - 21 Feb 20
Page 101 and 102:
tel-00672279, version 1 - 21 Feb 20
Page 103 and 104:
tel-00672279, version 1 - 21 Feb 20
Page 105 and 106:
tel-00672279, version 1 - 21 Feb 20
Page 107 and 108:
tel-00672279, version 1 - 21 Feb 20
Page 109 and 110:
tel-00672279, version 1 - 21 Feb 20
Page 111 and 112:
tel-00672279, version 1 - 21 Feb 20
Page 113 and 114:
tel-00672279, version 1 - 21 Feb 20
Page 115 and 116:
tel-00672279, version 1 - 21 Feb 20
Page 117 and 118:
tel-00672279, version 1 - 21 Feb 20
Page 119 and 120:
tel-00672279, version 1 - 21 Feb 20
Page 121 and 122:
tel-00672279, version 1 - 21 Feb 20
Page 123 and 124:
tel-00672279, version 1 - 21 Feb 20
Page 125 and 126:
tel-00672279, version 1 - 21 Feb 20
Page 127 and 128:
tel-00672279, version 1 - 21 Feb 20
Page 129 and 130:
tel-00672279, version 1 - 21 Feb 20
Page 131 and 132:
tel-00672279, version 1 - 21 Feb 20
Page 133 and 134:
tel-00672279, version 1 - 21 Feb 20
Page 135 and 136:
tel-00672279, version 1 - 21 Feb 20
Page 137 and 138:
tel-00672279, version 1 - 21 Feb 20
Page 139 and 140:
tel-00672279, version 1 - 21 Feb 20
Page 141 and 142:
tel-00672279, version 1 - 21 Feb 20
Page 143 and 144:
tel-00672279, version 1 - 21 Feb 20
Page 145 and 146:
tel-00672279, version 1 - 21 Feb 20
Page 147 and 148:
tel-00672279, version 1 - 21 Feb 20
Page 149 and 150:
tel-00672279, version 1 - 21 Feb 20
Page 151 and 152:
tel-00672279, version 1 - 21 Feb 20
Page 153 and 154: tel-00672279, version 1 - 21 Feb 20
Page 203: tel-00672279, version 1 - 21 Feb 20
Page 255 and 256:
tel-00672279, version 1 - 21 Feb 20
Page 257 and 258:
tel-00672279, version 1 - 21 Feb 20
Page 259 and 260:
tel-00672279, version 1 - 21 Feb 20
Page 261 and 262:
tel-00672279, version 1 - 21 Feb 20
Page 263 and 264:
tel-00672279, version 1 - 21 Feb 20
show all

Forgeabilité des aciers inoxydables austéno-ferritiques

Create successful ePaper yourself

Delete template?

Save as template?