Method of Modeling the Time Gradient of the State of a Steel Volume by Means of a Computer and Corresponding Objects

A modeling method for a time gradient of a state of a steel volume, comprising:

• modeling the steel volume based upon a number of volume elements;
• providing variables for the state of the steel volume at a specific time for the volume elements, wherein the variables are characteristic for an enthalpy present at a specific time in the respective volume element and for proportions in which the steel in the respective volume element at the specific time is present in the phases austenite, ferrite and cementite;
• determining for at least one of the volume elements a time gradient of the characteristic variables by solving a thermal conductivity equation and a phase transition equation;
• providing a first characteristic variable being a locally invariable average concentration of interstitial elements within the respective volume element in the austenite phase of the respective volume element;
• providing a second characteristic variable being the proportion of the phase austenite in the respective volume element;
• and
• providing a third characteristic variable being the enthalpy of the respective volume element, wherein the proportions of the phases ferrite and cementite in the respective volume element are variables derived from the characteristic variables.

A computer readable medium encoded with a computer program for a method, comprising:

• modeling a steel volume based on a number of volume elements;
• providing variables for the state of the steel volume at a specific time for the volume elements, wherein the variables are characteristic for the enthalpy present at the specific time in the respective volume element and for proportions in which the steel in the respective volume element at the specific time is present in the phases austenite, ferrite and cementite;
• determining for at least one of the volume elements a time gradient of the characteristic variables by solving a thermal conductivity equation and a phase transition equation;
• providing a first characteristic variable being a locally invariable average concentration of interstitial elements within the respective volume element in the austenite phase of the respective volume element;
• providing a second characteristic variable being the proportion of the phase austenite in the respective volume element;
• and
• providing a third characteristic variable being the enthalpy of the respective volume element, wherein the proportions of the phases ferrite and cementite in the respective volume element are variables derived from the characteristic variables.

A computer modeling a time gradient of a state of a steel volume, comprising:

• a storage device to store a computer program, wherein the computer provides an execution of the computer program, wherein the computer program is for
• modeling the steel volume based on the computer by a number of volume elements,
• providing variables for the state of the steel volume at a specific time for the volume elements, wherein the variables are characteristic for the enthalpy present at the specific time in the respective volume element and for proportions in which the steel in the respective volume element at the specific time is present in the phases austenite, ferrite and cementite,
• determining for at least one of the volume elements a time gradient of the characteristic variables by solving a thermal conductivity equation and a phase transition equation via the computer,
• providing a first characteristic variable being a locally invariable average concentration of interstitial elements within the respective volume element in the austenite phase of the respective volume element,
• providing a second characteristic variable being the proportion of the phase austenite in the respective volume element, and
• providing a third characteristic variable being the enthalpy of the respective volume element, wherein the proportions of the phases ferrite and cementite in the respective volume element are variables derived from the characteristic variables.