It would be hard to make a case in today's world (or even at the time the play was written) that it is somehow not an abusive relationship between Stanley and Stella. I would not say that there are "other perspectives" from which we can view their relationship so much as point out that "explanations" of a kind can be seen as the background of their partnership—explanations that could be missed by readers or theatergoers on first exposure.
Stella is a woman who seems to have escaped the "old" world of Belle Reve and found fulfillment in New Orleans. Stanley is "primitive," but she obviously loves him. Because of the standards of the working-class world of the 1940s, physical violence perpetrated by a husband was, unfortunately, sometimes regarded differently than it is in today's world. This, of course, does not excuse it in any way. Stanley himself has few, if any, redeeming qualities. He can, however, be viewed as something of a victim himself, because he is a member of the exploited working class. Again, none of this makes his violence toward Stella excusable in the slightest.
At the same time, Williams is using stereotypes to which Stella and Stanley appear to conform. It places an emphasis on the much different personality and status of Blanche. The primitive qualities of the "brutish" Stanley and the "submissive" Stella are in contrast to Blanche's wish to remain in the rarefied world symbolized by Belle Reve, the beautiful dream. It is even possible that Williams was actually creating the literary forms of these stereotypes, which have since been copied in drama and fiction, though without the larger themes and the contrasting personalities depicted in A Streetcar Named Desire. Stanley's abusiveness and violence are a pointed contrast to the "sensitive" man Blanche had been in love with, whom she discovered to be gay and who then committed suicide. Williams's central point throughout the play, arguably, is that women are victimized in multiple ways: Stella is victimized through her husband's abuse and unfaithfulness, and Blanche is victimized through her naivete about men's sexuality—first because of the repression (at the time) of gay men and later because she does not realize that Stanley's intention all along has been to attack her. By remaining in an abusive marriage, Stella exists in an alternative dream world to Blanche's world, and the combination of mental and physical assaults upon Blanche tears her out of her dream and destroys her sanity.