B modeling ============== Characteristics of modeling ----------------------------------- The elements are TRIA3 in plane deformation. 5 load cases are defined in the following way: **Load case 1:** **** SPHERE ** +-------------------------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |The side of an element is equal to :math:`2.5` .The circle with radius 2. and centered at node 1 has a non-empty intersection with the elements shaded in the figure, i.e. :math:`\mathit{Tr6a}`, :math:`\mathit{Tr6b}`, :math:`\mathit{Tr7a}`, :math:`\mathit{Tr10b}`, :math:`\mathit{Tr11a}` and :math:`\mathit{Tr11b}` .We apply a volume force of density —1 according to :math:`y` on this name zone :math:`\mathit{GM1}` defined by using the "SPHERE" option from CREA_GROUP_MAde the DEFI_GROUP command and an opposite volume force on this zone defined in extension.| + .. image:: images/100015CE0000184A0000140DCCFF66DA229AA9D3.svg + + | :width: 313 | | + :height: 258 + + | | | + + + | | | +-------------------------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ **Load case #2:** **BANDE** +-------------------------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |The elements of the hatched area i.e. :math:`\mathit{Tr5A}`, :math:`\mathit{Tr5B}`, :math:`\mathit{Tr6A}`, :math:`\mathit{Tr6B}`,, :math:`\mathit{Tr7A}`,, :math:`\mathit{Tr7B}`, :math:`\mathit{Tr8A}`, :math:`\mathit{Tr8B}`, :math:`\mathit{Tr9A}`, :math:`\mathit{Tr9B}`, BELGRADE, :math:`\mathit{Tr10A}` :math:`\mathit{Tr10B}` :math:`\mathit{Tr11A}` :math:`\mathit{Tr11B}`, Tr12A, :math:`\mathit{Tr12B}` define the intersection of the plate with the strip whose sides are parallel to the axis :math:`x`, whose middle passes through the node :math:`\mathit{N1}`, and whose half-width is equal to :math:`2` .A volume force of density :math:`–1` along | + .. image:: images/1000122A0000136E000012667EEB3BED592CCFE7.svg + .. image:: images/Object_8.svg + | :width: 313 | :width: 313 | + :height: 258 + :height: 258 + | | | + + is applied to this zone defined geometrically by name :math:`\mathit{GM3}` by using the option "BANDE" of CREA_GROUP_MA from the DEFI_GROUP command and the volume force of density :math:`1.` opposite to the previous one on this same zone defined in extension. + | | | +-------------------------------------------------------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ **Load case #3:** **** FACE_NORMALE ** +-------------------------------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |The list of elements of geometric type SEG2, :math:`\mathit{S1}`, :math:`\mathit{S2}`, :math:`\mathit{S3}`, :math:`\mathit{S4}` is defined as the list of elements of the mesh perpendicular to the direction :math:`y` .A pressure equal to :math:`–1` is applied to this list of name :math:`\mathit{GM4}` defined geometrically in the manner indicated, using the option "" FACE_NORMALE "of CREA_GROUP_MAde the command DEFI_GROUP and a press to :math:`1.` on this same list defined in extension.| + .. image:: images/10000EFA0000136E000012804DE1961837119C21.svg + + | :width: 313 | | + :height: 258 + + | | | + + + | | | +-------------------------------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ **Load case #4:** **ENV_SPHERE** +-------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |Nodes 3, 5, 7, and 9 are defined as being the nodes of the mesh belonging to the intersection of the plate with the intersection of the plate with the center :math:`\mathit{N1}` and radius :math:`2.5` (this is the length of the side of an element) .This list of nodes with the name :math:`\mathit{GN1}` is defined using the "ENV_SPHERE" option of CREA_GROUP_NOde the DEFI_GROUP command. We apply a nodal force :math:`{F}_{y}\mathrm{=}–1` in each of the nodes in this list and a :math:`{F}_{y}\mathrm{=}1` node strength in each of the nodes in the same list defined in extension.| + .. image:: images/10000EC80000136E0000126692FFA00F82EE2BE1.svg + + | :width: 313 | | + :height: 258 + + | | | + + + | | | +-------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ **Load case no. 5:** **PLAN** +-------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | |Nodes 14, 15, 16, 17, and 18 are defined as belonging to the line passing through node 14 and whose normal is parallel to :math:`x` .This list of nodes with the name :math:`\mathit{GN3}` is defined using the "PLAN" option of CREA_GROUP_NOde the command GROUP_NO .We apply a nodal force :math:`{F}_{y}\mathrm{=}–1` to each of the nodes in this list and a nodal force :math:`{F}_{y}\mathrm{=}1` to each of the nodes in the same list defined in extension.| + .. image:: images/10000EBA0000136E00001266EC6E8A579742F0DB.svg + + | :width: 313 | | + :height: 258 + + | | | + + + | | | +-------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ Characteristics of the mesh ---------------------------- The mesh consists of 32 TRIA3 meshes and 4 SEG2 meshes. Tested features ----------------------- We test the following options for creating a group of elements from the DEFI_GROUP command for 2D: * 'SPHERE' * 'BANDE' * 'FACE_NORMALE' and the following options for creating a group of nodes from the DEFI_GROUP command for 2D: * 'ENV_SPHERE' * 'PLAN'