Functions/Subroutines
subroutine	pull2 (PK, SIG, FINV, DET, NDI)

subroutine	pinvariants (A, INV4, NDI, ST, LAMBDA, BARLAMBDA, DET)

subroutine	metvol (CVOL, C, PV, PPV, DET, NDI)

subroutine	contraction42 (S, LT, RT, NDI)

subroutine	umat (STRESS, STATEV, DDSDDE, SSE, SPD, SCD, RPL, DDSDDT, DRPLDE, DRPLDT, STRAN, DSTRAN, TIME, DTIME, TEMP, DTEMP, PREDEF, DPRED, CMNAME, NDI, NSHR, NTENS, NSTATEV, PROPS, NPROPS, COORDS, DROT, PNEWDT, CELENT, DFGRD0, DFGRD1, NOEL, NPT, LAYER, KSPT, KSTEP, KINC)
	Record of revisions: \| Date Programmer Description of change \| ==== ========== ===================== \| 15/11/2017 Joao Ferreira cont mech general eqs \| 01/11/2018 Joao Ferreira comments added \| Description: UMAT: IMPLEMENTATION OF THE CONSTITUTIVE EQUATIONS BASED UPON A STRAIN-ENERGY FUNCTION (SEF). THIS CODE, AS IS, EXPECTS A SEF BASED ON THE INVARIANTS OF THE CAUCHY-GREEN TENSORS. A VISCOELASTIC COMPONENT IS ALSO INCLUDED IF NEEDED. YOU CAN CHOOSE TO COMPUTE AT THE MATERIAL FRAME AND THEN PUSHFORWARD OR COPUTE AND THE SPATIAL FRAME DIRECTLY. IF YOU WANT TO ADAPT THE CODE ACCORDING TO YOUR SEF: ISOMAT - DERIVATIVES OF THE SEF IN ORDER TO THE INVARIANTS ADD OTHER CONTRIBUTIONS: STRESS AND TANGENT MATRIX More...

subroutine	projeul (A, AA, PE, NDI)

subroutine	sigvol (SVOL, PV, UNIT2, NDI)

subroutine	isomat (SSEISO, DISO, C10, C01, CBARI1, CBARI2)

subroutine	sdvread (STATEV)

subroutine	anisomat (SSEANISO, DANISO, DISO, K1, K2, KDISP, I4, I1)

subroutine	pk2vol (PKVOL, PV, C, NDI)

subroutine	pull4 (MAT, SPATIAL, FINV, DET, NDI)

subroutine	setjr (CJR, SIGMA, UNIT2, NDI)

subroutine	contraction44 (S, LT, RT, NDI)

subroutine	initialize (STATEV)

subroutine	setvol (CVOL, PV, PPV, UNIT2, UNIT4S, NDI)

subroutine	pk2isomatfic (FIC, DISO, CBAR, CBARI1, UNIT2, NDI)

subroutine	uexternaldb (LOP, LRESTART, TIME, DTIME, KSTEP, KINC)

subroutine	getoutdir (OUTDIR, LENOUTDIR)

subroutine	sigisomatfic (SFIC, PKFIC, F, DET, NDI)

subroutine	pk2anisomatfic (AFIC, DANISO, CBAR, INV4, ST0, NDI)

subroutine	stretch (C, B, U, V, NDI)

subroutine	matinv3d (A, A_INV, NDI)

subroutine	spectral (A, D, V)

subroutine	jacobi (A, N, NP, D, V, NROT)

subroutine	eigsrt (D, V, N, NP)

subroutine	tensorprod2 (A, B, C, NDI)

subroutine	contraction24 (S, LT, RT, NDI)

subroutine	invariants (A, INV1, INV2, NDI)

subroutine	sigiso (SISO, SFIC, PE, NDI)

subroutine	vol (SSEV, PV, PPV, K, DET)

subroutine	push4 (SPATIAL, MAT, F, DET, NDI)

subroutine	pk2iso (PKISO, PKFIC, PL, DET, NDI)

subroutine	onem (A, AA, AAS, NDI)

subroutine	metiso (CMISO, CMFIC, PL, PKISO, PKFIC, C, UNIT2, DET, NDI)

subroutine	setiso (CISO, CFIC, PE, SISO, SFIC, UNIT2, NDI)

subroutine	push2 (SIG, PK, F, DET, NDI)

subroutine	deformation (F, C, B, NDI)

subroutine	fslip (F, FBAR, DET, NDI)

subroutine	cmatanisomatfic (CMANISOMATFIC, M0, DANISO, UNIT2, DET, NDI)

subroutine	sdvwrite (DET, LAMBDA, STATEV)

subroutine	resetdfgrd (DFGRD, NDI)

subroutine	fibdir (FIB, ST0, ST, NE, NOEL, NDI, VORIF, VD, DISTGR, DFGRD1)

subroutine	indexx (STRESS, DDSDDE, SIG, TNG, NTENS, NDI)

subroutine	rotation (F, R, U, NDI)

subroutine	cmatisomatfic (CMISOMATFIC, CBAR, CBARI1, CBARI2, DISO, UNIT2, UNIT4, DET, NDI)

subroutine	projlag (C, AA, PL, NDI)

subroutine	csisomatfic (CISOMATFIC, CMISOMATFIC, DISTGR, DET, NDI)

Function/Subroutine Documentation

subroutine anisomat	(	double precision	SSEANISO,
		double precision, dimension(4)	DANISO,
		double precision, dimension(5)	DISO,
		double precision	K1,
		double precision	K2,
		double precision	KDISP,
		double precision	I4,
		double precision	I1
	)

Parameters

daniso	ANISOTROPIC PART : ISOCHORIC SEF AND DERIVATIVES
diso	ANISOTROPIC PART : ISOCHORIC SEF AND DERIVATIVES

Definition at line 529 of file umat_general.for.

subroutine cmatanisomatfic	(	double precision, dimension(ndi,ndi,ndi,ndi)	CMANISOMATFIC,
		double precision, dimension(ndi,ndi)	M0,
		double precision, dimension(3)	DANISO,
		double precision, dimension(ndi,ndi)	UNIT2,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ANISOTROPIC MATRIX: MATERIAL 'FICTICIOUS' ELASTICITY TENSOR

Definition at line 1525 of file umat_general.for.

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subroutine cmatisomatfic	(	double precision, dimension(ndi,ndi,ndi,ndi)	CMISOMATFIC,
		double precision, dimension(ndi,ndi)	CBAR,
		double precision	CBARI1,
		double precision	CBARI2,
		double precision, dimension(5)	DISO,
		double precision, dimension(ndi,ndi)	UNIT2,
		double precision, dimension(ndi,ndi,ndi,ndi)	UNIT4,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ISOTROPIC MATRIX: MATERIAL 'FICTICIOUS' ELASTICITY TENSOR

Definition at line 1711 of file umat_general.for.

subroutine contraction24	(	double precision, dimension(ndi,ndi)	S,
		double precision, dimension(ndi,ndi)	LT,
		double precision, dimension(ndi,ndi,ndi,ndi)	RT,
		integer	NDI
	)

Parameters

ndi	DOUBLE CONTRACTION BETWEEN 4TH ORDER AND 2ND ORDER TENSOR INPUT: LT - RIGHT 2ND ORDER TENSOR RT - LEFT 4TH ODER TENSOR OUTPUT: S - DOUBLE CONTRACTED TENSOR (2ND ORDER)

Definition at line 1173 of file umat_general.for.

subroutine contraction42	(	double precision, dimension(ndi,ndi)	S,
		double precision, dimension(ndi,ndi,ndi,ndi)	LT,
		double precision, dimension(ndi,ndi)	RT,
		integer	NDI
	)

Parameters

ndi	DOUBLE CONTRACTION BETWEEN 4TH ORDER AND 2ND ORDER TENSOR INPUT: LT - RIGHT 4TH ORDER TENSOR RT - LEFT 2ND ODER TENSOR OUTPUT: S - DOUBLE CONTRACTED TENSOR (2ND ORDER)

Definition at line 75 of file umat_general.for.

subroutine contraction44	(	double precision, dimension(ndi,ndi,ndi,ndi)	S,
		double precision, dimension(ndi,ndi,ndi,ndi)	LT,
		double precision, dimension(ndi,ndi,ndi,ndi)	RT,
		integer	NDI
	)

Parameters

ndi	DOUBLE CONTRACTION BETWEEN 4TH ORDER TENSORS INPUT: LT - RIGHT 4TH ORDER TENSOR RT - LEFT 4TH ORDER TENSOR OUTPUT: S - DOUBLE CONTRACTED TENSOR (4TH ORDER)

Definition at line 663 of file umat_general.for.

subroutine csisomatfic	(	double precision, dimension(ndi,ndi,ndi,ndi)	CISOMATFIC,
		double precision, dimension(ndi,ndi)	CMISOMATFIC,
		double precision, dimension(ndi,ndi)	DISTGR,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ISOTROPIC MATRIX: SPATIAL 'FICTICIOUS' ELASTICITY TENSOR

Definition at line 1787 of file umat_general.for.

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subroutine deformation	(	double precision, dimension(ndi,ndi)	F,
		double precision, dimension(ndi,ndi)	C,
		double precision, dimension(ndi,ndi)	B,
		integer	NDI
	)

Parameters

ndi	RIGHT AND LEFT CAUCHY-GREEN DEFORMATION TENSORS

Definition at line 1482 of file umat_general.for.

subroutine eigsrt	(	double precision, dimension(np)	D,
		double precision, dimension(np,np)	V,
		integer	N,
		integer	NP
	)

Definition at line 1116 of file umat_general.for.

subroutine fibdir	(	double precision, dimension(ne,4)	FIB,
		double precision, dimension(3,3)	ST0,
		double precision, dimension(3,3)	ST,
		integer	NE,
		integer	NOEL,
		integer	NDI,
		double precision, dimension(3)	VORIF,
		double precision, dimension(3)	VD,
		double precision, dimension(3,3)	DISTGR,
		double precision, dimension(3,3)	DFGRD1
	)

Definition at line 1596 of file umat_general.for.

subroutine fslip	(	double precision, dimension(ndi,ndi)	F,
		double precision, dimension(ndi,ndi)	FBAR,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	DISTORTION GRADIENT

Definition at line 1495 of file umat_general.for.

subroutine getoutdir	(	character*256	OUTDIR,
		integer	LENOUTDIR
	)

Parameters

outdir GET CURRENT WORKING DIRECTORY

Definition at line 804 of file umat_general.for.

subroutine indexx	(	double precision, dimension(ntens)	STRESS,
		double precision, dimension(ntens,ntens)	DDSDDE,
		double precision, dimension(ndi,ndi)	SIG,
		double precision, dimension(ndi,ndi,ndi,ndi)	TNG,
		integer	NTENS,
		integer	NDI
	)

Parameters

ntens	INDEXATION: FULL SIMMETRY IN STRESSES AND ELASTICITY TENSORS
ndi	INDEXATION: FULL SIMMETRY IN STRESSES AND ELASTICITY TENSORS

Definition at line 1659 of file umat_general.for.

subroutine initialize ( double precision, dimension(nsdv) STATEV )

Definition at line 697 of file umat_general.for.

subroutine invariants	(	double precision, dimension(ndi,ndi)	A,
		double precision	INV1,
		double precision	INV2,
		integer	NDI
	)

Parameters

ndi	1ST AND 2ND INVARIANTS OF A TENSOR

Definition at line 1202 of file umat_general.for.

subroutine isomat	(	double precision	SSEISO,
		double precision, dimension(5)	DISO,
		double precision	C10,
		double precision	C01,
		double precision	CBARI1,
		double precision	CBARI2
	)

Parameters

sseiso	ISOTROPIC MATRIX : ISOCHORIC SEF AND DERIVATIVES
diso	ISOTROPIC MATRIX : ISOCHORIC SEF AND DERIVATIVES

Definition at line 487 of file umat_general.for.

subroutine jacobi	(	double precision, dimension(np,np)	A,
		integer	N,
		integer	NP,
		double precision, dimension(np)	D,
		double precision, dimension(np,np)	V,
		integer	NROT
	)

Definition at line 953 of file umat_general.for.

subroutine matinv3d	(	double precision, dimension(ndi,ndi)	A,
		double precision, dimension(ndi,ndi)	A_INV,
		integer	NDI
	)

Parameters

ndi	INVERSE OF A 3X3 MATRIX

Definition at line 894 of file umat_general.for.

subroutine metiso	(	double precision, dimension(ndi,ndi,ndi,ndi)	CMISO,
		double precision, dimension(ndi,ndi,ndi,ndi)	CMFIC,
		double precision, dimension(ndi,ndi,ndi,ndi)	PL,
		double precision, dimension(ndi,ndi)	PKISO,
		double precision, dimension(ndi,ndi)	PKFIC,
		double precision, dimension(ndi,ndi)	C,
		double precision, dimension(ndi,ndi)	UNIT2,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ISOCHORIC MATERIAL ELASTICITY TENSOR

Definition at line 1353 of file umat_general.for.

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subroutine metvol	(	double precision, dimension(ndi,ndi,ndi,ndi)	CVOL,
		double precision, dimension(ndi,ndi)	C,
		double precision	PV,
		double precision	PPV,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	VOLUMETRIC MATERIAL ELASTICITY TENSOR

Definition at line 48 of file umat_general.for.

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subroutine onem	(	double precision, dimension(ndi,ndi)	A,
		double precision, dimension(ndi,ndi,ndi,ndi)	AA,
		double precision, dimension(ndi,ndi,ndi,ndi)	AAS,
		integer	NDI
	)

Parameters

ndi	THIS SUBROUTINE GIVES: 2ND ORDER IDENTITY TENSORS - A 4TH ORDER IDENTITY TENSOR - AA 4TH ORDER SYMMETRIC IDENTITY TENSOR - AAS

Definition at line 1315 of file umat_general.for.

subroutine pinvariants	(	double precision, dimension(ndi,ndi)	A,
		double precision	INV4,
		integer	NDI,
		double precision, dimension(ndi,ndi)	ST,
		double precision	LAMBDA,
		double precision	BARLAMBDA,
		double precision	DET
	)

Parameters

ndi	AND 4TH PSEUDO-INVARIANTS OF A TENSOR

Definition at line 26 of file umat_general.for.

subroutine pk2anisomatfic	(	double precision, dimension(ndi,ndi)	AFIC,
		double precision, dimension(3)	DANISO,
		double precision, dimension(3,3)	CBAR,
		double precision	INV4,
		double precision, dimension(3,3)	ST0,
		integer	NDI
	)

Parameters

ndi	ANISOTROPIC MATRIX: 2PK 'FICTICIOUS' STRESS TENSOR

Definition at line 831 of file umat_general.for.

subroutine pk2iso	(	double precision, dimension(ndi,ndi)	PKISO,
		double precision, dimension(ndi,ndi)	PKFIC,
		double precision, dimension(ndi,ndi,ndi,ndi)	PL,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ISOCHORIC PK2 STRESS TENSOR

Definition at line 1294 of file umat_general.for.

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subroutine pk2isomatfic	(	double precision, dimension(ndi,ndi)	FIC,
		double precision, dimension(5)	DISO,
		double precision, dimension(ndi,ndi)	CBAR,
		double precision	CBARI1,
		double precision, dimension(ndi,ndi)	UNIT2,
		integer	NDI
	)

Parameters

ndi	ISOTROPIC MATRIX: 2PK 'FICTICIOUS' STRESS TENSOR

Definition at line 737 of file umat_general.for.

subroutine pk2vol	(	double precision, dimension(ndi,ndi)	PKVOL,
		double precision	PV,
		double precision, dimension(ndi,ndi)	C,
		integer	NDI
	)

Parameters

ndi	VOLUMETRIC PK2 STRESS

Definition at line 586 of file umat_general.for.

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subroutine projeul	(	double precision, dimension(ndi,ndi)	A,
		double precision, dimension(ndi,ndi,ndi,ndi)	AA,
		double precision, dimension(ndi,ndi,ndi,ndi)	PE,
		integer	NDI
	)

Parameters

ndi	EULERIAN PROJECTION TENSOR

Definition at line 443 of file umat_general.for.

subroutine projlag	(	double precision, dimension(ndi,ndi)	C,
		double precision, dimension(ndi,ndi,ndi,ndi)	AA,
		double precision, dimension(ndi,ndi,ndi,ndi)	PL,
		integer	NDI
	)

Parameters

ndi	LAGRANGIAN PROJECTION TENSOR

Definition at line 1756 of file umat_general.for.

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subroutine pull2	(	double precision, dimension(ndi,ndi)	PK,
		double precision, dimension(ndi,ndi)	SIG,
		double precision, dimension(ndi,ndi)	FINV,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	PULL-BACK TIMES DET OF A 2ND ORDER TENSOR

Definition at line 2 of file umat_general.for.

subroutine pull4	(	double precision, dimension(ndi,ndi,ndi,ndi)	MAT,
		double precision, dimension(ndi,ndi,ndi,ndi)	SPATIAL,
		double precision, dimension(ndi,ndi)	FINV,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	PULL-BACK TIMES DET OF 4TH ORDER TENSOR

Definition at line 605 of file umat_general.for.

subroutine push2	(	double precision, dimension(ndi,ndi)	SIG,
		double precision, dimension(ndi,ndi)	PK,
		double precision, dimension(ndi,ndi)	F,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	PIOLA TRANSFORMATION INPUT: PK - 2ND PIOLA KIRCHOOF STRESS TENSOR F - DEFORMATION GRADIENT DET - DEFORMATION DETERMINANT OUTPUT: SIG - CAUCHY STRESS TENSOR

Definition at line 1452 of file umat_general.for.

subroutine push4	(	double precision, dimension(ndi,ndi,ndi,ndi)	SPATIAL,
		double precision, dimension(ndi,ndi,ndi,ndi)	MAT,
		double precision, dimension(ndi,ndi)	F,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	PIOLA TRANSFORMATION INPUT: MAT - MATERIAL ELASTICITY TENSOR F - DEFORMATION GRADIENT DET - DEFORMATION DETERMINANT OUTPUT: SPATIAL - SPATIAL ELASTICITY TENSOR

Definition at line 1253 of file umat_general.for.

subroutine resetdfgrd	(	double precision, dimension(ndi,ndi)	DFGRD,
		integer	NDI
	)

Definition at line 1577 of file umat_general.for.

subroutine rotation	(	double precision, dimension(ndi,ndi)	F,
		double precision, dimension(ndi,ndi)	R,
		double precision, dimension(ndi,ndi)	U,
		integer	NDI
	)

Parameters

ndi	COMPUTES ROTATION TENSOR

Definition at line 1697 of file umat_general.for.

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subroutine sdvread ( double precision, dimension(nsdv) STATEV )

Parameters

statev VISCOUS DISSIPATION: READ STATE VARS

Definition at line 510 of file umat_general.for.

subroutine sdvwrite	(	double precision	DET,
		double precision	LAMBDA,
		double precision, dimension(nsdv)	STATEV
	)

Parameters

statev	VISCOUS DISSIPATION: WRITE STATE VARS
det	VISCOUS DISSIPATION: WRITE STATE VARS
lambda	VISCOUS DISSIPATION: WRITE STATE VARS

Definition at line 1563 of file umat_general.for.

subroutine setiso	(	double precision, dimension(ndi,ndi,ndi,ndi)	CISO,
		double precision, dimension(ndi,ndi,ndi,ndi)	CFIC,
		double precision, dimension(ndi,ndi,ndi,ndi)	PE,
		double precision, dimension(ndi,ndi)	SISO,
		double precision, dimension(ndi,ndi)	SFIC,
		double precision, dimension(ndi,ndi)	UNIT2,
		integer	NDI
	)

Parameters

ndi	ISOCHORIC SPATIAL ELASTICITY TENSOR

Definition at line 1412 of file umat_general.for.

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subroutine setjr	(	double precision, dimension(ndi,ndi,ndi,ndi)	CJR,
		double precision, dimension(ndi,ndi)	SIGMA,
		double precision, dimension(ndi,ndi)	UNIT2,
		integer	NDI
	)

Parameters

ndi	JAUMAN RATE CONTRIBUTION FOR THE SPATIAL ELASTICITY TENSOR

Definition at line 639 of file umat_general.for.

subroutine setvol	(	double precision, dimension(ndi,ndi,ndi,ndi)	CVOL,
		double precision	PV,
		double precision	PPV,
		double precision, dimension(ndi,ndi)	UNIT2,
		double precision, dimension(ndi,ndi,ndi,ndi)	UNIT4S,
		integer	NDI
	)

Parameters

ndi	VOLUMETRIC SPATIAL ELASTICITY TENSOR

Definition at line 713 of file umat_general.for.

subroutine sigiso	(	double precision, dimension(ndi,ndi)	SISO,
		double precision, dimension(ndi,ndi)	SFIC,
		double precision, dimension(ndi,ndi,ndi,ndi)	PE,
		integer	NDI
	)

Parameters

ndi	ISOCHORIC CAUCHY STRESS

Definition at line 1222 of file umat_general.for.

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subroutine sigisomatfic	(	double precision, dimension(ndi,ndi)	SFIC,
		double precision, dimension(ndi,ndi)	PKFIC,
		double precision, dimension(ndi,ndi)	F,
		double precision	DET,
		integer	NDI
	)

Parameters

ndi	ISOTROPIC MATRIX: ISOCHORIC CAUCHY STRESS

Definition at line 817 of file umat_general.for.

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subroutine sigvol	(	double precision, dimension(ndi,ndi)	SVOL,
		double precision	PV,
		double precision, dimension(ndi,ndi)	UNIT2,
		integer	NDI
	)

Parameters

ndi	VOLUMETRIC CAUCHY STRESS

Definition at line 470 of file umat_general.for.

subroutine spectral	(	double precision, dimension(3,3)	A,
		double precision, dimension(3)	D,
		double precision, dimension(3,3)	V
	)

EIGENVALUES AND EIGENVECTOR OF A 3X3 MATRIX

Definition at line 927 of file umat_general.for.

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subroutine stretch	(	double precision, dimension(ndi,ndi)	C,
		double precision, dimension(ndi,ndi)	B,
		double precision, dimension(ndi,ndi)	U,
		double precision, dimension(ndi,ndi)	V,
		integer	NDI
	)

Parameters

ndi	STRETCH TENSORS

Definition at line 859 of file umat_general.for.

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subroutine tensorprod2	(	double precision, dimension(ndi,ndi)	A,
		double precision, dimension(ndi,ndi)	B,
		double precision, dimension(ndi,ndi,ndi,ndi)	C,
		integer	NDI
	)

Definition at line 1152 of file umat_general.for.

subroutine uexternaldb	(		LOP,
			LRESTART,
		dimension(2)	TIME,
		real*8	DTIME,
			KSTEP,
			KINC
	)

Parameters

dtime READ MESH DATA

Definition at line 768 of file umat_general.for.

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subroutine umat	(	double precision, dimension(ntens)	STRESS,
		double precision, dimension(nstatev)	STATEV,
		double precision, dimension(ntens,ntens)	DDSDDE,
		double precision	SSE,
		double precision	SPD,
		double precision	SCD,
		double precision	RPL,
		double precision, dimension(ntens)	DDSDDT,
		double precision, dimension(ntens)	DRPLDE,
		double precision	DRPLDT,
		double precision, dimension(ntens)	STRAN,
		double precision, dimension(ntens)	DSTRAN,
		double precision, dimension(2)	TIME,
		double precision	DTIME,
		double precision	TEMP,
		double precision	DTEMP,
		double precision, dimension(1)	PREDEF,
		double precision, dimension(1)	DPRED,
		character*8	CMNAME,
		integer	NDI,
		integer	NSHR,
		integer	NTENS,
		integer	NSTATEV,
		double precision, dimension(nprops)	PROPS,
		integer	NPROPS,
		double precision, dimension(3)	COORDS,
		double precision, dimension(3,3)	DROT,
		double precision	PNEWDT,
		double precision	CELENT,
		double precision, dimension(3,3)	DFGRD0,
		double precision, dimension(3,3)	DFGRD1,
		integer	NOEL,
		integer	NPT,
		integer	LAYER,
		integer	KSPT,
		integer	KSTEP,
		integer	KINC
	)

Record of revisions: | Date Programmer Description of change | ==== ========== ===================== | 15/11/2017 Joao Ferreira cont mech general eqs |

01/11/2018 Joao Ferreira comments added |

Description: UMAT: IMPLEMENTATION OF THE CONSTITUTIVE EQUATIONS BASED UPON A STRAIN-ENERGY FUNCTION (SEF). THIS CODE, AS IS, EXPECTS A SEF BASED ON THE INVARIANTS OF THE CAUCHY-GREEN TENSORS. A VISCOELASTIC COMPONENT IS ALSO INCLUDED IF NEEDED. YOU CAN CHOOSE TO COMPUTE AT THE MATERIAL FRAME AND THEN

PUSHFORWARD OR COPUTE AND THE SPATIAL FRAME DIRECTLY.

IF YOU WANT TO ADAPT THE CODE ACCORDING TO YOUR SEF: ISOMAT - DERIVATIVES OF THE SEF IN ORDER TO THE INVARIANTS

ADD OTHER CONTRIBUTIONS: STRESS AND TANGENT MATRIX

UEXTERNALDB: READ FILAMENTS ORIENTATION AND PREFERED DIRECTION

Definition at line 133 of file umat_general.for.

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subroutine vol	(	double precision	SSEV,
		double precision	PV,
		double precision	PPV,
		double precision	K,
		double precision	DET
	)

Parameters

ssev	VOLUMETRIC CONTRIBUTION :STRAIN ENERGY FUNCTION AND DERIVATIVES
pv	VOLUMETRIC CONTRIBUTION :STRAIN ENERGY FUNCTION AND DERIVATIVES
ppv	VOLUMETRIC CONTRIBUTION :STRAIN ENERGY FUNCTION AND DERIVATIVES

Definition at line 1235 of file umat_general.for.

Functions/Subroutines

01/11/2018 Joao Ferreira comments added |

PUSHFORWARD OR COPUTE AND THE SPATIAL FRAME DIRECTLY.

ADD OTHER CONTRIBUTIONS: STRESS AND TANGENT MATRIX

Function/Subroutine Documentation

01/11/2018 Joao Ferreira comments added |

PUSHFORWARD OR COPUTE AND THE SPATIAL FRAME DIRECTLY.

ADD OTHER CONTRIBUTIONS: STRESS AND TANGENT MATRIX

UEXTERNALDB: READ FILAMENTS ORIENTATION AND PREFERED DIRECTION