Modeling A ============== Characteristics of modeling ----------------------------------- The model consists of quadrangles with 8 knots and triangles with 6 knots. It has 4877 knots and 1598 elements. Characteristics of the mesh ----------------------------- Using procedure FISS2D_V1. The topological parameters concerning the refinement around the crack bottom are: * :math:`\mathrm{nc}=4` (number of crowns) * :math:`\mathrm{ns}=8` (number of sectors) * :math:`\mathrm{nbcour}=1` (number of deraffination rings) .. image:: images/1000354A00002F8B00001B2F95031BA19BF3E811.svg :width: 613 :height: 350 .. _RefImage_1000354A00002F8B00001B2F95031BA19BF3E811.svg: .. image:: images/1000000000000187000000E37E0BF3E116CFB462.png :width: 4.0728in :height: 2.3646in .. _RefImage_1000000000000187000000E37E0BF3E116CFB462.png: **Zoom in on the cracked area** .. image:: images/10000000000001AD00000119123472DE84A2906A.png :width: 4.4689in :height: 2.9272in .. _RefImage_10000000000001AD00000119123472DE84A2906A.png: **Zoom the cracked area with "contact block"** Tested sizes and results ------------------------------- .. image:: images/10000000000001A8000001060613BCD6AFB971F3.png :width: 5.8882in :height: 3.6382in .. _RefImage_10000000000001A8000001060613BCD6AFB971F3.png: .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" ":math:`{K}_{I}`, loading no. 1, crown 0, contact overlooked", "1,1482", "'SOURCE_EXTERNE'", "2,0%" ":math:`{K}_{I}`, loading no. 1, crown 1, contact overlooked", "1,1482", "'SOURCE_EXTERNE'", "2,0%" ":math:`{K}_{I}`, loading no. 1, crown 2, overlooked contact", "1,1482", "'SOURCE_EXTERNE'", "2,0%" ":math:`{K}_{I}`, loading no. 1, crown 3, overlooked contact", "1,1482", "'SOURCE_EXTERNE'", "2,0%" .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" ":math:`{K}_{I}`, load #2, crown 0, contact overlooked", "0.41237", "'SOURCE_EXTERNE'", "7.0%" ":math:`{K}_{I}`, load #2, crown 1, contact overlooked", "0.41237", "'SOURCE_EXTERNE'", "7.0%" ":math:`{K}_{I}`, load #2, crown 2, contact overlooked", "0.41237", "'SOURCE_EXTERNE'", "7.0%" ":math:`{K}_{I}`, load #2, crown 3, contact overlooked", "0.41237", "'SOURCE_EXTERNE'", "7.0%" .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,33}`, ring 0","" "1.2075E-3", "'SOURCE_EXTERNE'", "6.0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,335}`, ring 0","" "3.0187E-3", "'SOURCE_EXTERNE'", "2.5%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,34}`, ring 0","" "5,4336E-3", "'SOURCE_EXTERNE'", "1,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,345}`, ring 0", "8,5865E-3", "'SOURCE_EXTERNE'", "4,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,35}`, ring 0", "1.2075E-2", "'SOURCE_EXTERNE'", "4.0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,36}`, crown 0", "2.1757E-2", "'SOURCE_EXTERNE'", "1.0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,40}`, ring 0","" "6,6478E-2", "'SOURCE_EXTERNE'", "1.0%" .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" "KI, load #3, contact, = 0.33, ring 1", "1.2075E-3", "'SOURCE_EXTERNE'", "2.0%" "KI, load #3, contact, = 0.335, ring 1", "3.0187E-3", "'SOURCE_EXTERNE'", "2.0%" "KI, load #3, contact, = 0.34, ring 1", "5.4336E-3", "'SOURCE_EXTERNE'", "1.0%" "KI, load #3, contact, = 0.345, ring 1", "8.5865E-3", "'SOURCE_EXTERNE'", "4.0%" "KI, load #3, contact, = 0.35, ring 1", "1.2075E-2", "'SOURCE_EXTERNE'", "4.0%" "KI, load #3, contact, = 0.36, crown 1", "2.1757E-2", "'SOURCE_EXTERNE'", "1.0%" "KI, load #3, contact, = 0.40, ring 1", "6.6478E-2", "'SOURCE_EXTERNE'", "1.0%" .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" "KI, load #3, contact, = 0.33, ring 2", "1.2075E-3", "'SOURCE_EXTERNE'", "4.5%" "KI, load #3, contact, = 0.335, ring 2", "3.0187E-3", "'SOURCE_EXTERNE'", "2.0%" "KI, load #3, contact, = 0.34, ring 2", "5.4336E-3", "'SOURCE_EXTERNE'", "1.0%" "KI, load #3, contact, = 0.345, ring 2", "8.5865E-3", "'SOURCE_EXTERNE'", "4.0%" "KI, load #3, contact, = 0.35, ring 2", "1.2075E-2", "'SOURCE_EXTERNE'", "4.0%" "KI, load #3, contact, = 0.36, crown 2", "2.1757E-2", "'SOURCE_EXTERNE'", "1.0%" "KI, load #3, contact, = 0.40, ring 2", "6.6478E-2", "'SOURCE_EXTERNE'", "1.0%" .. csv-table:: "**Identification**", "**Reference**", "**Reference type**", "**Tolerance**" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,335}`, crown 3", "3.0187E-3", "'SOURCE_EXTERNE'", "3.0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,34}`, crown 3", "5,4336E-3", "'SOURCE_EXTERNE'", "1,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,345}`, crown 3", "8,5865E-3", "'SOURCE_EXTERNE'", "4,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,35}`, crown 3", "1,2075E-3", "'SOURCE_EXTERNE'", "4,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,36}`, crown 3", "2,1757E-2", "'SOURCE_EXTERNE'", "1,0%" ":math:`{K}_{I}`, load #3, contact, :math:`\alpha =\mathrm{0,40}`, crown 3", "6,6478E-2", "'SOURCE_EXTERNE'", "1,0%" notes --------- The tables below give the :math:`G` energy release rate for two values of the :math:`\alpha` coefficient which correspond to the non-detachment of the lip from the crack. (There is a lip detachment for :math:`\alpha >\mathrm{0,32}`). .. csv-table:: "**Identification**", "**Reference**", "**G** **** ASTER **" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,30}`, ring 0", "0", "8,7941 1016" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,30}`,, crown 1", "0", "4.4308 1015" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,30}`,, crown 2", "0", "3,3312 1015" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,30}`,, crown 3", "0", "4.4794 1013" .. csv-table:: "**Identification**", "**Reference**", "**G** **** ASTER **" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,32}`, ring 0", "0", "1.17E-14" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,32}`,, crown 1", "0", "3,26E-16" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,32}`,, crown 2", "0", "1.02E-15" ":math:`G`, load #3, contact, :math:`\alpha =\mathrm{0,32}`,, crown 3", "0", "4,23E-13"