Object | Option 1 | Option 2 | Option 3 | Option 4 | Option 5 |
Isotropic | • Linear Elastic | ||||
• Hyperelastic | • Nearly Incompressible | • Test Data | • Mooney Rivlin | Order: 1 2 3 | |
• Coefficients | • Mooney Rivlin • Ogden • Foam • Arruda-Boyce • Gent | Order: 1 2 3 4 5 | |||
• Elastoplastic | • Stress/Strain Curve | • Tresca • Mohr-Coulomb • Drucker-Prager | • Isotropic • Kinematic • Combined | ||
• Parabolic Mohr-Colomb • Buyukozturk Concrete • Oak Ridge National Labs • 2-1/4 Cr-Mo ORNL • Reversed Plasticity ORNL • Fully Alpha Reset ORNL • Generalized Plasticity | • Isotropic • Kinematic • Combined | • Piecewise Linear • Cowper-Symonds | |||
• None | • Power Law • Power Rate Law • Johnson-Cook • Kumar | ||||
• Hardening Slope | • von Mises • Tresca • Mohr-Coulomb • Drucker-Prager | • Isotropic • Kinematic • Combined | |||
• Perfectly Plastic | • Parabolic Mohr-Colomb • Buyukozturk Concrete • Oak Ridge National Labs • 2-1/4 Cr-Mo ORNL • Reversed Plasticity ORNL • Fully Alpha Reset ORNL • Generalized Plasticity | • None | • Piecewise Linear • Cowper-Symonds | ||
• Rigid Plastic | • None | • Power Law • Power Rate Law • Johnson-Cook • Kumar | |||
Piecewise-Linear | Piecewise Linear Cowper-Symonds | ||||
• Failure | • n/a • Hill • Hoffman • Tsai-Wu • Maximum Strain | ||||
• Failure1/2/3 | • Maximum Stress • Maximum Strain • Hoffman • Hill • Tsai-Wu • Hashin • Puck • Hashin-Tape • Hashin-Fabric • User Defined Failure | • No Progressive • Standard • Gradual Selective • Immediate Selective | |||
• Creep | • Tabular Input • Creep Law 111 • Creep Law 112 • Creep Law 121 • Creep Law 122 • Creep Law 211 • Creep Law 212 • Creep Law 221 • Creep Law 222 • Creep Law 300 • MATVP | ||||
• Viscoelastic | • No Function • Williams-Landel-Ferry • Power Series Expansion | ||||
2D Orthotropic | |||||
• Failure | • Stress • Strain | • n/a • Hill • Hoffman • Tsai-Wu • Maximum Strain | |||
• Failure1/2/3 | • See Isotropic Entry | ||||
• Elastoplastic | • Stress/Strain Curve | • Tresca • Mohr-Coulomb • Drucker-Prager • Oak Ridge National Labs • 2-1/4 Cr-Mo ORNL • Reversed Plasticity ORNL • Fully Alpha Reset ORNL • Generalized Plasticity | • Isotropic • Kinematic • Combined | • Piecewise Linear • Cowper-Symonds | |
• Hardening Slope | • von Mises • Tresca • Mohr-Coulomb • Drucker-Prager | • Isotropic • Kinematic • Combined | |||
• Perfectly Plastic | • Oak Ridge National Labs • 2-1/4 Cr-Mo ORNL • Reversed Plasticity ORNL • Fully Alpha Reset ORNL • Generalized Plasticity | • None | • Piecewise Linear • Cowper-Symonds | ||
• Creep | • MATVP | ||||
• Viscoelastic | • See Isotropic Entry | ||||
3D Orthotropic | |||||
• Elastoplastic | • See 2D Orthotropic Entry | ||||
• Failure1/2/3 | • See 2D Orthotropic Entry | ||||
• Creep | • See 2D Orthotropic Entry | ||||
• Viscoelastic | • See Isotropic Entry | ||||
2D Anisotropic | |||||
• Elastoplastic | • See 2D Orthotropic Entry | ||||
• Failure | • See Isotropic Entry | ||||
• Failure1/2/3 | • See Isotropic Entry - progressive failure not supported | ||||
3D Anisotropic | |||||
• Elastoplastic | • See 2D Orthotropic Entry | ||||
• Failure1/2/3 | • See 2D Orthotropic Entry - progressive failure not supported | ||||
• Creep | • See Isotropic Entry | ||||
Fluid | • Linear Elastic | ||||
Composite | • Laminate • Rule of Mixtures • HAL Cont. Fiber • HAL Disc. Fiber • HAL Cont. Ribbon • HAL Disc. Ribbon • HAL Particulate • Short Fiber 1D • Short Fiber 2D |
Object | Option 1 | Option 2 | Option 3 | Option 4 | Option 5 |
Isotropic | • Linear Elastic | • Linear Elastic (MAT1) | • Solid • Fluid | ||
• Elastoplastic | • Plastic Kinematic(MAT3) • Iso.Elastic Plastic(MAT12) • Rate Dependent (MAT19) | • Bilinear | |||
• Piecewise Linear (MAT24) | • Biliear • Linearized • Table | • Cowper Symonds • General | |||
• Rate Sensitive (MAT64) | • Powerlaw | ||||
• Resultant (MAT28) • Shape Memory (MAT30) • With Failure (MAT13) • Power Law (MAT18) • Ramberg-Osgood (MAT80) | |||||
• Hydro (MAT10) | • Linearized | ||||
• Viscoelastic | • Viscoelastic (MAT6) | ||||
• Rigid | • Material Type 20 | • No Constraints • Global Directions • Local Directions | |||
• MATRIG (Rigid Body Properties) | • Geometry • Defined | • No Constraints • Global Directions • Local Directions | |||
• Johnson Cook | • Material Type 15 | • No iteractions • Accurate | • Minimum Pressure • No Tension, Min. Stress • No Tension, Min. Pressure | ||
• Rubber | • Frazer Nash (MAT31) | • Coefficient • Least Square Fit | • Respect • Ignore | ||
• Blatz-Ko (MAT7) • General Viscoelastic (MAT76) • Cellular Rubber (MAT87) | |||||
• Mooney Rivlin (MAT27) • Arruda-Boyce (MAT127) | • Coeff. • Least Square | ||||
• Hyperelastic (MAT77) | • Coefficients • Least Square Fit 1/2/3 | ||||
• Simplified | • Tension-Compresion Load • Compression Load • Tension-Compression Identical | • True Strain • Engineering Strain Rate | • Simple Average • 12 Point Average | ||
• Foam | • Soil and Foam (MAT5/14) | • Active (MAT14) • Inactive (MAT 5) | • Allow Crushing • Reversible | ||
• Low Density Urethane (MAT57) • Fu Chang Foam (MAT83) | • Bulk Viscosity Inactive • Bulk Viscosity Active | • No Tension • Maintain Tension | |||
• Low Density Urethane (MAT57) | • Bulk Viscosity Inactive • Bulk Viscosity Active | • No Tension • Maintain Tension | • With Relaxation curve • No Relaxation Curve | ||
• Viscous Foam (MAT62) • Crushable (MAT63) | |||||
• Elastoviscoplatic | • With Damage (MAT81) | • Strain Damage • Orthotropic • RCDC | • Bilinear • Linearized • Table | • Cowper Symonds • General | |
• Discrete Beam | • Nonlinear Elastic Discrete Beam (MAT67) • Nonlinear Plastic Discrete Beam (MAT68) • Side Impact Dummy (SID) Damper Discrete Beam (MAT69) • Hydraulic Gas Damper Discrete Beam (MAT70) • Cabel Discrete Beam (MAT71) • Elastic Spring Discrete Beam (MAT74) • Elastic 6 DOF Spring Discrete Beam (MAT93) • Inelastic Spring Discrete Beam (MAT94) • Inelastic 6 DOF Srping Discrete Beam (MAT95) • General Joint Discrete Beam (MAT97) | ||||
• Spring Damper | • Nonlinear 6 DOF Discrete Beam (MAT119) • General Nonlinear 1 DOF Discrete Beam (MAT121) | • Follow Loading Curve • Follow Unloading Curve • Follow Unloading Stiffness • Follow Quadratic Unloading | |||
• Elastic Spring (MATDS01) • Viscous Damper (MATDS02) • Elastic Spring (MATDS03) • Nonlinear Elastic Spring (MATDS04) • Nonlinear Viscous Damper (MATDS05) • General Nonlinear Spring (MATDS06) • Spring Maxwell (MATDS07) • Inelastic Spring (MATDS08) • Tri-linear Degrading (MATDS13) • Squat Shear Wall (MATDS14) • Muscle (MATDS15) | |||||
• Seat Belt | • Seat Belt (MATB01) | ||||
• Spotweld | • MATDSW1 | • DF | |||
• MATDSW2 | • DFRES • DFRESNF • DFRESNFP | ||||
• MATDSW3 | • DFSTR | ||||
• MATDSW4 | • DFRATE | ||||
• MATDSW5 | • DFNS • DFSIF • DFSTRUC | ||||
2D Orthotropic | • Glass (Laminated) | • Laminated Glass (MAT32) | • Glass • Polymer | ||
• Composite | • Enh. Composite Damage | • Tsai-Wu Theory • Chang-Chang Theory | |||
• Linear Elastic | • Linear Elastic (MAT2) | ||||
• Composites and Fabrics | • Composites and Fabrics (MAT58) | • Zero • One • Two • Three | • 0.0 • 1.0 • -1.0 | ||
3D Orthotropic | • Honeycomb | • Composite Honeycomb (MAT26) | • Bulk Viscosity Inactive • Bulk Viscosity Active | ||
• Composite | • Composite Damage (MAT22) | ||||
• Composite Failure (MAT59) | • Faceted • Ellipsoidal | ||||
• Linear Elastic | • Linear Elastic (MAT2) | ||||
• Modified Honeycomb | • Modified Honeycomb (MAT126) | • Bulk Viscosity Inactive • Bulk Viscosity Active | • LCA .LT. 0 • LCA .GT. 0 | • Zero • One • Two | |
2D Anisotropic | • Viscoplastic | • Viscoplastic (MAT103) | • Shell | • From Curve • Manual Entry | |
• Linear Elastic | • Linear Elastic (MAT2) | ||||
3D Anisotropic | • Viscoplastic | • Viscoplastic (MAT103) | • Brick | • From Curve • Manual Entry | |
• Linear Elastic | • Linear Elastic (MAT2) |
Isotropic | Description |
Elastic Modulus | Elastic modulus, E, (Young’s modulus). Can be temperature dependent. |
Poisson Ratio | Poisson’s ratio (NU). Can be temperature dependent. Should be between -1.0 and 0.5. |
Shear Modulus | Shear modulus (G). Can be temperature dependent. |
Density | Density (RHO). Can be temperature dependent. |
Thermal Expansion Coefficient | Thermal coefficient of expansion (A). Can be temperature dependent. |
Structural Damping Coefficient | Structural damping coefficient (GE). Can be temperature dependent. |
Reference Temperature | Reference temperature (TREF). |
2D/3D Orthotropic | Description |
Elastic Modulus ii | Modulus of elasticity in 1-, 2-, and 3-directions. Can be temperature dependent. |
Poisson Ratio ij | Poisson’s ratio for uniaxial loading in the three different directions. Can be temperature dependent. |
Shear Modulus ij | In-plane and transverse shear moduli in ij planes. Can be temperature dependent. |
Density | Density (RHO). Can be temperature dependent. |
Thermal Expansion Coefficient ii | Thermal coefficients of expansion in the three directions. Can be temperature dependent. |
Structural Damping Coefficient | Structural damping coefficient (GE). Can be temperature dependent. |
Reference Temperature | Reference temperature (TREF). |
2D/3D Anisotropic | Description |
Stiffness ij | Elements of the 6x6 symmetric material property matrix in the material coordinate system. Can be temperature dependent. |
Density | Density (RHO). Can be temperature dependent. |
Thermal Expansion Coefficient ij | Thermal coefficients of expansion. Can be temperature dependent. |
Structural Damping Coefficient | Structural damping coefficient (GE). Can be temperature dependent. |
Reference Temperature | Reference temperature (TREF). |
Isotropic | Description |
Stress/Strain Curve | Defines the nonlinear elastic stress-strain curve. You must select a field from the listbox. It can be strain and/or temperature dependent. Tabular definition of the stress-strain curve via the Fields application using a material field of strain should follow the specifications as outlined by Nastran. The first point of the material field should be the origin and the second point must be at the initial yield point. This material curve is elastic, meaning that in both loading and unloading the material behavior follows the stress-strain curve as defined. It is not recommended that both nonlinear elastic and elastoplastic constitutive models be active or defined for the same material. For work hardening, use the Elastoplastic constitutive model. See the Nastran Quick Reference Guide for more details. |
Test Data - Mooney Rivlin | Description |
Tension/Compression TAB1 | All data provided must reference a strain dependent field defining the test data. Please refer to the Nastran Quick Reference Guide for descriptions of each of these tabular inputs. |
Equibiaxial Tension TAB2 | |
Simple Shear Data TAB3 | |
Pure Shear Data TAB4 | |
Pure Volume Compression TABD |
Mooney Rivlin (MATHP) | Description |
Distortional Deformation Coefficients, Aij | Material constants related to distortional deformation. The Order of the Polynomical determines the number of coefficients required as input. |
Volumetric Deformation Coefficients, Di | Material constants related to volumetric deformation. The Order of the Polynomial determines the number of coefficients required as input. |
Density RHO | Defines the mass density which is an optional property. |
Volumetric Thermal Expansion Coefficient AV | Coefficient of volumetric thermal expansion. |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Structural Damping Coefficient GE | Structural damping element coefficient. |
Mooney Rivlin (MATHE) | Description |
Strain Energy Function C10, C01, C11, C20, C30 | Strain energy densities as a function of the strain invariants in the material. May vary with temperature via a defined material field. This option consolidates several of the hyperelastic material models, including Neo-Hookean (C10 only), Mooney-Rivlin (C10 & C01), and Full Third Order Invariant (all coefficients). |
Density RHO | Defines the mass density |
Thermal Expansion Coefficient | Defines the instantaneous coefficient of thermal expansion. This property is optional. May vary with temperature via a defined material field. |
Bulk Modulus K | Defines the Bulk Modulus. |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Structural Damping Coefficient GE | Structural damping element coefficient. |
Ogden | Description |
Bulk Modulus K | Defines the Bulk Modulus. |
Density RHO | Defines the material mass density. |
Coefficient of Thermal Expansion | Defines the instantaneous coefficient of thermal expansion. This property is optional. May vary with temperature via a defined material field |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Modulus k | in the Ogden equation. The number of moduli required as input is dependent on the Order of the Polynomial. |
Exponent k | in the Ogden equation. The number of exponents required as input is dependent on the Order of the Polynomial. |
Foam | Description |
Bulk Modulus K | Defines the Bulk Modulus. |
Density RHO | Defines the material mass density. |
Thermal Expansion Coefficient | Defines the instantaneous coefficient of thermal expansion. This property is optional. May vary with temperature via a defined material field |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Modulus n | in the Foam equation. The number of moduli required as input is dependent on the Order of the Polynomial. |
Deviatoric Exponent n | in the Foam equation. The number of exponents required as input is dependent on the Order of the Polynomial. |
Volumetric Exponent n | in the Foam equation. The number of exponents required as input is dependent on the Order of the Polynomial. |
Arruda- Boyce | Description |
NKT | Chain density times Boltzmann constant times temperature. May vary with temperature via a defined material field. |
Chain Length | Average chemical chain cross length. May vary with temperature via a defined material field. |
Bulk Modulus K | Defines the Bulk Modulus. |
Density RHO | This defines the material mass density. |
Thermal Expansion Coefficient | Defines the instantaneous coefficient of thermal expansion. This property is optional. May vary with temperature via a defined material field |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Gent | Description |
Tensile Modulus | Defines standard tension modulus (E). May vary with temperature via a defined material field. |
Maximum 1st Invariant | Defines . May vary with temperature via a defined material field. |
Bulk Modulus K | Defines the Bulk Modulus. |
Density RHO | This defines the material mass density. |
Coefficient of Thermal Expansion | Defines the coefficient of thermal expansion. |
Reference Temperature TREF | Defines the reference temperature for the thermal expansion coefficient. |
Stress/Strain Curve | Description |
Yield Function | Yield function (YF) criterion: von Mises, Tresca, Mohr-Coulomb, & Drucker-Prager supported on MATS1 entry. All others are for SOL 600 and placed on the MATEP entry. SOL 400 only supports von Mises. |
Hardening Rule | Hardening Rule (HR). These are Isotropic, Kinematic, and Combined isotropic and kinematic and are placed on the MATS1 entry or MATEP entry depending on solution sequence and yield function selected. Hardening rules Power Law, Rate Power Law, Johnson-Cook, Kumar are available when no Yield Function is specified. This is used for SOL 600 only on MATEP entry. |
Strain Rate Method | Selects an option for strain-rate dependent yield stress used in SOL 600. Cowper-Symonds requires input of Denominator C and Inverse Exponent P. |
Stress/Strain Curve | This data must reference a strain dependent field. It can also be temperature and strain rate dependent. LIMIT1 in MATS1 determined from supplied tabular field of stress-strain curve. Data is placed on TABLES1 entry. |
Internal Friction Angle | Defined for Mohr-Coulomb and Drucker-Prager yield function placed on the MATS entry LIMIT2. |
Yield Point Stress at Yield | Initial yield stress. |
Beta | Parameter beta for parabolic Mohr-Coulomb or Buyukozturk concrete models. Placed on the MATEP entry. |
10th Cycle Yield Stress | Equivalent 10th cycle tensile yield stress for Oak Ridge National Labs models (ORNL). Placed on the MATEP entry. |
Denominator C Inverse Exponent P | Constants for the Cowper-Symonds strain rate method. |
Coefficient A / B / C / Bi Exponent M / N | Coefficient and exponent data for Power Law, Rate Power Law, Johnson-Cook, and Kumar hardening rules. |
initial Strain Rate Room Temperature Melt Temperature | Additional data input for the Johnson-Cook hardening rule. |
Hardening Slope | Description |
Yield Function | Yield function (YF) criterion: von Mises, Tresca, Mohr-Coulomb, & Drucker-Prager supported on MATS1 entry. |
Hardening Rule | Hardening Rule (HR). These are Isotropic, Kinematic, and Combined isotropic and kinematic and are placed on the MATS1 entry. |
Strain Rate Method | No strain rate methods are available for the Hardening Slope data. |
Hardening Slope | Work hardening slope (H) - slope of stress versus plastic strain. Defined in units of stress. For an elastic-perfectly plastic case, use the Perfectly Plastic data input option. |
Internal Friction Angle | Defined for Mohr-Coulomb and Drucker-Prager yield function placed on the MATS entry LIMIT2. |
Yield Point | Initial yield stress. |
Perfectly Plastic | Description |
Yield Function | See the Stress / Strain Curve table above. All options are identical except there must be a yield function selected. |
Hardening Rule | None are available since no hardening is possible for a perfectly plastic material. |
Strain Rate Method | Piecewise linear or Cowper-Symonds are available. |
Yield Point | Initial yield stress. |
All other data input is described in the Stress/Strain Curve table above. |
Rigid Plastic | Description |
Yield Function | No yield functions are available as the material is defined as rigid and then plastic, so no yield is possible. |
Hardening Rule | See the Stress / Strain Curve table above. Valid options are the Power Law, Power Rate Law, Johnson-Cook, Kumar, and Piecewise Linear. |
Strain Rate Method | Piecewise linear or Cowper-Symonds are available only if the Piecewise Linear hardening rule is selected. |
Stress/Strain Curve | Necessary only when not using one of the power law hardening rules (Piecewise-Linear). This data must reference a strain dependent field. It can also be temperature and strain rate dependent. LIMIT1 in MATS1 determined from supplied tabular field of stress-strain curve. Data is placed on TABLES1 entry. |
All other data input is described in the Stress/Strain Curve table above. Rigid Plastic is only used in SOL 600 and only for isotropic materials. |
No Composite Failure Theory | Description |
Tension Stress Limit | Stress limits for tension, compression, and shear used to compute margins of safety in certain elements. They have no effect on the computational procedures. |
Compression Stress Limit | |
Shear Stress Limit | |
Failure criteria for the isotropic and two-dimensional orthotropic and anisotropic materials appear in the ST, SC, and SS fields on MAT1 and MAT2 entries and the Xt, Xc, Yt, Yc, and S fields on the MAT8 entry. |
Composite Failure Theory: Hill, Hoffman, Tsai-Wu, Maximum | Description |
Failure Limits | For 2D orthotropic on the MAT8 entry, the limits can be defined as stress or strain allowables. This is not applicable to isotropic and anisotropic materials. |
Tension Stress Limit | Stress limits for tension, compression, and shear are the same as those defined for non-composite failure. |
Compression Stress Limit | |
Shear Stress Limit | |
Bonding Shear Stress Limit | Allowable shear stress of the bonding material. SB field on the PCOMP entry. |
Failure criteria for the isotropic and two-dimensional orthotropic and anisotropic materials appear in the ST, SC, and SS fields on MAT1 and MAT2 entries and the Xt, Xc, Yt, Yc, and S fields on the MAT8 entry unless composites are being used in which case the data is written to the PCOMP entry as necessary. |
Property | Description |
Progressive Failure Options | Progressive failure options are None, standard Progressive Failure, Gradual or Immediate selective progressive failure for SOL 600. SOL 400 does not support progressive failure models and will ignore this setting if set to anything other than None. Only failure indices are computed when no progressive failure is specified. Anisotropic materials do not support progressive failure. |
Tension Stress Limit X / Y /Z Tension Strain Limit X / Y / Z Compression Stress Limit X / Y / Z Compression Strain Limit X / Y / Z Shear Stress Limit XY / YZ / ZX Shear Strain Limit XY / YZ / ZX | Tension, compression, and shear stress or strain limits used in the Maximum Stress or Strain, Hill, Hoffman, and Tsai-Wu failure criteria. |
Shear Stress Bond (SB) | Allowable shear stress of bonding material between layers for composites only. This is used in SOL 600 only and is ignored for SOL 400. |
Failure Index | Failure index used for Hill, Hoffman, and Tsai-Wu criteria. |
Interactive Strength XY / YZ / ZX | Interactive strength constants for specified plane used in the Tsai-Wu criterion. |
Max Fiber / Matrix Tension Max Fiber / Matrix Compression Max Tape Fiber Tension Max Tape Fiber Compression Max 1st Fiber Tension / Compression Max 2nd Cross Fiber Tension / Compression Max Thickness Tension Max Thickness Compression | Definable stress limits for Hashin, Puck, Hashin-Tape, and Hashin-Fiber criteria. |
Layer Shear Strength Transverse Shear Strength YZ / ZX | Shear stress limits for Hashing, Puck, Hashin-Tape, and Hashin-Fiber criteria. |
Slope P12C / P12T / P23C / P23T of Fracture Envelope | Slopes of the failure envelope used in Puck failure criterion. |
Deactivate Tension X / Y/ Z Deactivate Compress X / Y / Z Deactivate Shear XY / YZ / ZX Deactivate Elements Deactivate Fiber / Matrix Tension Deactivate Fiber /Matrix Compression Deactivate Matrix Tension Deactivate Matrix Compression | If any value other than blank or 0.0 is entered for progressive failure options Gradual and Immediate, failed elements are deactivated (placed ICi fields in MATF entry). See the Nastran Quick Reference Guide for information. |
Residual Stiffness Factor Matrix Compression Factor Shear Stiffness Factor E33 Fiber Failure Factor Shear Fiber Failure Factor | Reduction fractions or factors. Values can be between 0.0 and 1.0. Used only for Gradual or Immediate progressive failure modes (placed on Ai fields in MATF entry). See the Nastran Quick Reference Guide for more information. |
Tabular Input | Description |
Data defined by the use of this form to define the primary stiffness, primary damping, and secondary damping for a creep model with tabular input appears on the CREEP entry for non-SOL 600 runs. Only isotropic materials use this data input method. |
Creep Law ijk | Description |
Use this form to define the coefficients for one of many empirical creep models available appears on the CREEP entry for non-SOL 600 runs. Only isotropic materials use this creep definition. |
MATPV | Description |
Use this form to define either the coefficients and exponents for creep model or provide tabular field data to define Temperature vs. Creep Strain, Creep Strain Rate vs. Stress, Strain Rate vs. Creep Strain, or Time vs. Creep Strain in SOL 600 runs. This data is written to the MATVP entry. If tabular data is provided, this data is written to TABLEM1 entries. It is not recommended to mix the exponents and coefficients and tabular data. Use one or the other. |