Said Fathalla Stefan Sandfeld 17.08.2023 Ahmad Zainul Ihsan Dislocation Simulation and Model Ontology SIM Dislocation Simulation and Model Ontology 1.0 has crystallographic defect hasPositionVector represents the relationship between entity and position vector. has position vector hasMathematicalRepresentation relates the entity with its mathematical representation. has mathematical representation hasRepresentation relates the entity to another representation of entity. has representation Inverse property of hasMathematicalRepresentation is mathematical representation of Inverse property of hasRepresentation is representation of hasCube represents the relationship between dislocation strcture and cube shape specimen. has cube Sub-property of hasNode that relates the segment with the end node. has end node hasInputDislocationStructure represents the relationship between DDD simulation and its input of dislocation structure. has input dislocation structure hasLength represents the relationship between 1-D, 2-D, and 3-D shape to length. has length hasNode represents the relationship between segment and node. has node hasNumericalRepresentation relates the entity with its numerical representation. has numerical representation hasOutputDislocationStructure represents the relationship between DDD simulation and its output of dislocation structure. has output dislocation structure hasPixelRepresentation represents the relationship between mathematical line and Pixel. has pixel representation hasSegment represents the relationship between discretized line and segment. has segment has shape hasShape represents the relationship between dislocation structure to geometrical shape. hasShapeFunction represents the relationship between discretized line and shape function. has shape function hasSimulationParameter represents the relationship between DDD simulation and simulation parameter. has simulation parameter Sub-property of hasNode that relates the segment with the start node. has start node Inverse property of hasCube is cube of Inverse property of hasEndNode is end node of Inverse property of hasInputDislocationStructure is input dislocation structure of Inverse property of hasLength is length of Inverse property of hasNode is node of Inverse property of hasNumericalRepresentation is numerical representation of Inverse property of hasOutputDislocationStructure is output dislocation structure of Inverse property of hasPixelRepresentation is pixel representation of Inverse property of relatesToCrystallineMaterial is related to structure Inverse of hasSegment is segment of Inverse property of hasShapeFunction is shape function of Inverse property of hasShape is shape of Inverse property of hasSimulationParameter is simulation parameter of Inverse property of hasStartNode is start node of relates to crystalline material DDDSimulationID represents the ID of a DDD simulation DDD Simulation ID FEM parameter activation FEMParameterActivation represents the boolean value of whether the FEM method is active. Remesh parameter of maximum segment length so that the segment will be remeshed. Remesh parameter of minimum segment length so that the node in the dislocation network will be removed. cross slip parameter activation crossSlipParameterActivation represents the boolean value of whether the cross slip is active. DiscretizedLineID represents the ID of a discretized (mathematical) line. discretized line ID externalLoadParameterActivation represents the boolean value of whether the external load is active. external load parameter activation isRelaxed represents a boolean value whether a dislocation structure in the relaxed condition or no. is relaxed JunctinoFormationParameterActivation represents the boolean value of whether the junction formation is active. junction formation parameter activation meshFormat represents the format of mesh file, e.g., gmsh, mesh, etc. mesh format nodeID represents the ID of a segment node. node ID parameter activation remeshFrequency represents the number of steps has to pass before doing the dislocation network remeshing. remesh frequency remeshParameterActivation represents the boolean value of whether the network remeshing is active. remesh parameter activation segmentID represents the ID of a discretized line segment. segment ID shape function type shapeFunctionType represents the string of shape function type, e.g., linear, quadratic, spline of n-order, etc. simulation boundary type simulationBoundaryType represents the string of boundary type used by the DDD simulation, e.g., periodic, mirrored, open boundaries, etc. simulation description of DDD simulation simulation description simulation loading condition simulationLoadingCondition represents the string of loading condition exposed to a DDD simulation, e.g., stress-controlled, strain-controlled, or both (stress- and strain-controlled). simulationStepNumber represents the step number of a DDD simulation. simulation step number simulation temperature simulationTemperature represents the temperature of a DDD simulation. slipArea represents the slip area of discretized line in double. slip area softwareRepository represents the URI/link to the software repository, e.g., GitHub, GitLab, etc. software repository software version software name Numerical Mathematical Language MathematicalModel Pictorial <p class="lm-para">A quantity is the measurement of an observable property of a particular object, event, or physical system. A quantity is always associated with the context of measurement (i.e. the thing measured, the measured value, the accuracy of measurement, etc.) whereas the underlying quantity kind is independent of any particular measurement. Thus, length is a quantity kind while the height of a rocket is a specific quantity of length; its magnitude that may be expressed in meters, feet, inches, etc. Examples of physical quantities include physical constants, such as the speed of light in a vacuum, Planck's constant, the electric permittivity of free space, and the fine structure constant. </p> <p class="lm-para">In other words, quantities are quantifiable aspects of the world, such as time, distance, velocity, mass, momentum, energy, and weight, and units are used to describe their measure. Many of which are related to each other by various physical laws, and as a result the units of some of the quantities can be expressed as products (or ratios) of powers of other units (e.g., momentum is mass times velocity and velocity is measured in distance divided by time). These relationships are discussed in dimensional analysis. Those that cannot be so expressed can be regarded as "fundamental" in this sense.</p> <p class="lm-para">A quantity is distinguished from a "quantity kind" in that the former carries a value and the latter is a type specifier.</p> Quantity A <b>Quantity Kind</b> is any observable property that can be measured and quantified numerically. Familiar examples include physical properties such as length, mass, time, force, energy, power, electric charge, etc. Less familiar examples include currency, interest rate, price to earning ratio, and information capacity. Quantity Kind A <i>Quantity Value</i> expresses the magnitude and kind of a quantity and is given by the product of a numerical value <code>n</code> and a unit of measure <code>U</code>. The number multiplying the unit is referred to as the numerical value of the quantity expressed in that unit. Refer to <a href="http://physics.nist.gov/Pubs/SP811/sec07.html">NIST SP 811 section 7</a> for more on quantity values. Quantity value A unit of measure, or unit, is a particular quantity value that has been chosen as a scale for measuring other quantities the same kind (more generally of equivalent dimension). For example, the meter is a quantity of length that has been rigorously defined and standardized by the BIPM (International Board of Weights and Measures). Any measurement of the length can be expressed as a number multiplied by the unit meter. More formally, the value of a physical quantity Q with respect to a unit (U) is expressed as the scalar multiple of a real number (n) and U, as \(Q = nU\). Unit Crystalline Material Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Position Vector (Euclidean) vector is used to represent quantities that both magnitude and direction. Vector (Euclidean) vector used to represent quantities that both magnitude and direction. Ein linearer oder eindimensionaler Defekt, um den herum einige der Atome falsch ausgerichtet sind. Im Mesoscale ist eine Versetzung ein linienförmiges Objekt, das eine Grenze darstellt, die die Regionen auf der Gleitebene, in denen ein Gleiten stattgefunden hat, von denen trennt, in denen dies nicht der Fall war. Linear or one-dimensional defect around which some of the atoms are misaligned. In the mesoscale, a dislocation is a line object that is a boundary separating the regions on the slip plane which have undergone slip from those that have not. The presence of dislocation introduces local disturbance of the atomic-level geometry. Dislocation die Versetzung Mathematical representation of dislocation as 'Line'. An instance of mathematical representation of a dislocation line is an oriented curve parameterized by its arc length. Mathematische Darstellung der Versetzung als "Linie". Ein Beispiel für die mathematische Darstellung einer Versetzungslinie ist eine orientierte Kurve, die durch ihre Bogenlänge parametrisiert ist. Line die Linie 1 A simulation parameter to enable the cross slip process of dislocation network/structure. Cross Slip 1 A three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Cube Discrete dislocation dynamics (DDD) simulation is a simulation that is used to determine individual dislocation properties and study the distribution, arrangement, and density of dislocations in crystalline materials. The simulation observes the collective motion of many dislocations that links the relationship between the microstructure, loading conditions, and the mechanical properties of a crystalline material. DDD Simulation A Parameter that is used to run a DDD simulation. DDD Simulation Parameter 1 Die numerische Darstellung der Versetzungslinie, die in die Anzahl der Segmente diskretisiert ist. The numerical representation of the dislocation line that is discretized into the number of segments. Discretized Line die Diskretisierte Linie A quantifiable of the total length of dislocation line per unit volume of a crystalline material. Dislocation Density Structure that describes a dislocation (micro)structure, which is a virtual specimen used by a DDD simulation to study the mechanical properties of a crystalline materials. Dislocation Structure 1 A simulation parameter to enable the external load imposed on dislocation network. External Load Parameter 1 A simulation parameter to enable the junction formation of a dislocation network/structure. Junction Formation A magnitude of line that has a unit. Length A point of a segment. Ein Punkt eines Segments. Node der Knoten Pictorial that isthe smallest addressable element in a raster image, or the smallest addressable element in a dot matrix display device Pixel A simulation parameter related to remeshing the dislocation network. Remesh Parameter Das Segment ist ein Teil einer Linie, der von zwei bestimmten Endpunkten begrenzt wird und Punkte auf der Linie zwischen den Endpunkten enthalten kann. The segment is a part of a line bounded by two distinct end points and may contain points on the line between its endpoints. Segment die Strecke 1 Die Formfunktion ist die Funktion, die die Lösung zwischen den an den Netzknoten erhaltenen diskreten Werten interpoliert. Bei der diskretisierten Versetzung bestimmt die Formfunktion die Form eines Segments und letztlich die Form der Linie. Beispiele für Formfunktionen, die zur Diskretisierung der Versetzung verwendet werden, sind kreisförmig, elliptisch, spiralförmig, linear, kubisch und quintisch. The shape function is the function that interpolates the solution between the discrete values obtained at the mesh nodes. In discretized dislocation, the shape function determines the shape of a segment and ultimately determines the shape of the line. Examples of shape function that is used to discretize the dislocation are circular, elliptic, spiral, linear, cubic, and quintic. Shape Function die Formfunktion