If we need to model the deformations in the materials then we need a more complex model. Say by modeling a body as a set of points connected by springs etc. A bit like a 3 dimensional version of the Graph Network program distributed with the JDK.
 A commercial program, for analyzing the large deformation dynamic response 
  of inelastic solids and structures. Models explicit, three-dimensional, finite 
  elements. DYNA3D contain 30 material models and 10 equations of state (EOS) 
  to cover a wide range of material behavior. The material models implemented 
  are: elastic, orthotropic elastic, kinematic/isotropic plasticity, thermoelastoplastic, 
  soil and crushable foam, linear viscoelastic, Blatz-Ko rubber, high explosive 
  burn, hydrodynamic without deviatoric stresses, elastoplastic hydrodynamic, 
  temperature dependent elastoplastic, isotropic elastoplastic, isotropic elastoplastic 
  with failure, soil and crushable foam with failure, Johnson/Cook plasticity 
  model, pseudo TENSOR geological model, elastoplastic with fracture, power law 
  isotropic plasticity, strain rate dependent plasticity, rigid, thermal orthotropic, 
  composite damage model, thermal orthotropic with 12 curves, piecewise linear 
  isotropic plasticity, and inviscid two invariant geologic cap, orthotropic crushable 
  model, Moonsy-Rivlin rubber, resultant plasticity, closed form update shell 
  plasticity, and Frazer-Nash rubber model. The IBM 3090 version does not contain 
  the last two models mentioned. 
  The hydrodynamic material models determine only the deviatoric stresses. Pressure 
  is determined by one of ten equations of state including linear polynomial, 
  JWL high explosive, Sack "Tuesday" high explosive, Gruneisen, ratio 
  of polynomials, linear polynomial with energy deposition, ignition and growth 
  of reaction in HE, tabulated compaction, tabulated, and TENSOR pore collapse. 
  DYNA3D generates three binary output databases. One contains information for 
  complete states at infrequent intervals; 50 to 100 states is typical. The second 
  contains information for a subset of nodes and elements at frequent intervals; 
  1,000 to 10,000 states is typical. The last contains interfaces data for contact 
  surfaces. 
Airbags, Occupant Safety, Crash Analysis
Bird Strike, Blade containment, Crash
Stamping, Forging, Casting
Earthquake Safety, Concrete Structures
Drop Analysis, Package Design, Thermal
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