Deformation analysis device, deformation analysis method, and program

A deformation analysis method in which an analysis device including a storage unit which stores analysis data of a material calculates a state variable indicating a state occurring in the material according to deformation, wherein the analysis device:

• calculates stresses and other state variables of respective elements of the material at one point in time of the deformation of the material, based on the analysis data;
• based on the calculated state variables, determines whether or not a fracture has occurred in each of the elements of the material based on a fracture limit stress curve which is found in advance for the material;
• regarding an element in which it is determined that the fracture has occurred, out of the elements of the material, reduces σ by the following expression where σ is a stress with a rigidity decrease taken into consideration, D is a damage variable (note that 0≦D≦1) in continuum damage mechanics, and σ′ is a stress with the rigidity decrease not taken into consideration,
• σ=(1−D)σ′
• to thereby decrease rigidity of the relevant element, without eliminating the element, and updates the analysis data;
• calculates state variables of the respective elements of the material at a subsequent point in time of the deformation of the material, based on the updated analysis data;
• and
• outputs the calculated state variables.

A program causing a computer including a storage unit which stores analysis data of a material to execute a deformation analysis of calculating a state variable indicating a state occurring in the material according to deformation, the computer being caused to execute:

• calculating stresses and other state variables of respective elements of the material at one point in time of the deformation of the material, based on the analysis data;
• based on the calculated state variables, determining whether or not a fracture has occurred in each of the elements of the material, based on a fracture limit stress curve which is found in advance for the material;
• regarding an element in which it is determined that the fracture has occurred, out of the elements of the material, reducing σ by the following expression where σ is a stress with a rigidity decrease taken into consideration, D is a damage variable (note that 0≦D≦1) in continuum damage mechanics, and σ′ is a stress with the rigidity decrease not taken into consideration,
• σ=(1−D)σ′
• to thereby decrease rigidity of the relevant element, without eliminating the element, and updating the analysis data;
• calculating state variables of the respective elements of the material at a subsequent point in time of the deformation of the material, based on the updated analysis data;
• and
• outputting the calculated state variables.